Computational Methods for PDEs

Publications


Peer Reviewed Journal Publication
  • Takacs, Stefan (2018) Robust approximation error estimates and multigrid solvers for isogeometric multi-patch discretizations. Mathematical Models and Methods in Applied Sciences, Bd. 28 (10), S. 1899-1928. (link)
  • Langer, Ulrich; Repin, Sergey; Samrowski, Tatiana (2017) A posteriori estimates for a coupled piezoelectric model. Russ. J. Numer. Anal. Math. Model, Bd. 32 (4), S. 259-266.
  • Hofreither, Clemens; Takacs, Stefan (2017) ROBUST MULTIGRID FOR ISOGEOMETRIC ANALYSIS BASED ON STABLE SPLITTINGS OF SPLINE SPACES. SIAM J. Numer. Anal., Bd. 55 (4), S. 2004-2024. (link)
  • TOULOPOULOS, IOANNIS; WICK, THOMAS (2017) NUMERICAL METHODS FOR POWER-LAWDIFFUSION PROBLEMS. SIAM J. SCI. COMPUT., Bd. 39 (3), S. A681-A710.
  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2017) Iterative coupling of flow, geomechanics and adaptive phase-field fracture including level-set crack width approaches. J. Comput. Appl. Math., Bd. 314, S. 40-60.
  • Hofreither, Clemens; Takacs, Stefan; Zulehner, Walter (2017, online: 2016) A Robust Multigrid Method for Isogeometric Analysis using Boundary Correction. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 22-42 <'http://www.sciencedirect.com/science/article/pii/S0045782516301414'>. (link)
  • Mantzaflaris, A., Jüttler, B., Khoromskij, B.N., Langer, U. (2017) Low rank tensor methods in Galerkin-based isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 1062-1085. (link)
  • Hofer, Christoph; Langer, Ulrich (2017) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering, Bd. 316, S. 2-21.
  • Mantzaflaris, Angelos; Villamizar, Nelly; Juettler, Bert (2016, online: 2014) Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Computer Aided Geometric Design. (link)
  • Hofer, Christoph; Langer, Ulrich (2016) Dual-Primal Isogeometric Tearing and Interconnecting Solvers for large-scale systems of multipatch continuous Galerkin IgA equations. PAMM, Bd. 16 (1), S. 747-748. (link)
  • Koutschan, Christoph; Neumüller, Martin; Radu, Silviu (2016, online: 2016) Inverse Inequality Estimates with Symbolic Computation. Advances in Applied Mathematics, Bd. 80, S. 1-23. (link)
  • HOFER, CHRISTOPH, and LANGER, ULRICH AND TOULOPOULOS, IOANNIS (2016, online: 2016) DISCONTINUOUS GALERKIN ISOGEOMETRIC ANALYSISOF ELLIPTIC DIFFUSION PROBLEMS ON SEGMENTATIONSWITH GAPS. SIAM J. SCI. COMPUT., Bd. 38 (6), S. A3430–A3460.
  • Hofer, Christoph and Toulopoulos, Ioannis (2016, online: 2016) Discontinuous Galerkin Isogeometric Analysis of ellipticproblems on segmentations with non-matching interfaces. Computers and Mathematics with Applications, Bd. 72, S. 1811-1827.
  • Hofer, Christoph and Toulopoulos, Ioannis (2016, online: 2016) Discontinuous Galerkin Isogeometric Analysis of ellipticproblems on segmentations with non-matching interfaces. Computers and Mathematics with Applications, Bd. 72, S. 1811-1827.
  • Takacs, Stefan; Takacs, Thomas (2016) Approximation error estimates and inverse inequalities for B-splines of maximum smoothness. Math. Models Methods Appl. Sci., Bd. 26 (7), S. 1411-1445 <'http://www.worldscientific.com/doi/abs/10.1142/S0218202516500342'>. (link)
  • Wick, Thomas (2016) Coupling fluid-structure interaction with phase-field fracture. Journal of Computational Physics, Bd. 327, S. 67-96.
  • Lee, S.; Mikelic, A.; Wheeler, M. F.; Wick, T. (2016) Phase-field modeling of proppant-filled fractures in a poroelastic medium. Computer Methods in Applied Mechanics and Engineering, Bd. 312, S. 509-541.
  • Wick, Thomas; Frei, Stefan; Richter, Thomas (2016) Long-term simulation of large deformation, mechano-chemical fluid-structure interactions in ALE and fully Eulerian coordinates. Journal of Computational Physics, Bd. 321, S. 874-891.
  • Lee, S.; Wheeler, M. F.; Wick, T.; Srinivasan, S. (2016) Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks. Mechanics Research Communications, Bd. in press, doi:, S. 10.1016/j.mechrescom.2016.04.002.
  • Lee, Sanghyun; Wheeler, Mary F.; Wick, Thomas (2016) Pressure and fluid-driven fracture propagation in porous media using an adaptive finite element phase field model. Comput. Meth. Appl. Mech. Eng., Bd. 305, S. 111-132.
  • Wick, Thomas (2016) Goal functional evaluations for phase-field fracture using PU-based DWR mesh adaptivity. Comput. Mech., Bd. 57 (6), S. 1017-1035.
  • Ulrich Langer, Ioannis Toulopoulos (2016, online: 2016) Analysis of multipatch discontinuous Galerkin IgA approximations to elliptic boundary value problems. Computing and Visualization in Science, Bd. 17 (5), S. 217–233.
  • Q., Hong; J., Kraus; J., Xu; L., Zikatanov (2016) A robust multigrid method for discontinuous Galerkin discretizations of Stokes and linear elasticity equations. Numerische Mathematik, Bd. 132 (1), S. 23-49.
  • Villamizar, Nelly; Mantzaflaris, Angelos; Juettler, Bert (2016, online: 2015) Characterization of bivariate hierarchical quartic box splines on a three-directional grid. Computer Aided Geometric Design, Bd. 41, S. 1-15. (link)
  • Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K. (2015) Shape optimization of an electric motor subject to nonlinear magnetostatics. SIAM Journal on Scientific Computing, Bd. 37 (6), S. B1002-B1025.
  • Hofreither, C.; Langer, U.; Pechstein, C. (2015) BEM-based Finite Element Tearing and Interconnecting methods. Electronic Transactions on Numerical Analysis, Bd. 44, S. 230-249.
  • Langer, U.; Repin, S.; Wolfmayr, M. (2015) Functional a posteriori error estimates for parabolic time-periodic boundary value problems. Computational Methods in Applied Mathematics, Bd. 15 (3), S. 353-372.
  • Wick, D.; Wick, T.; Hellmig, R. J.; Christ, H-J (2015) Numerical simulations of crack propagation in screws with phase-field modeling. Comput. Mater. Sci., Bd. 109, S. 367-379.
  • Langer , Ulrich; Mantzaflaris , Angelos; Moore , Stephen E.; Toulopoulos, Ioannis (2015) Mesh Grading in Isogeometric Analysis. Computers & Mathematics with Applications, Bd. 70 (7), S. 1685–1700 <'http://dx.doi.org/10.1016/j.camwa.2015.03.011'>. (link)
  • A. Mikelic, M.F. Wheeler, T. Wick (2015) Phase-field modeling of a fluid-driven fracture in a poroelastic medium. Computational Geosciences, Bd. 1, S. 38.
  • T. Wick, G. Singh, M.F. Wheeler (2015, online: 2015) Fluid-Filled Fracture Propagation using a Phase-Field Approach and Coupling to a Reservoir Simulator. SPE Journal, Bd. 1, S. 20.
  • D. Wick, T. Wick, R.J. Hellmig, H.-J. Christ (2015) Numerical simulations of crack propagation in screws with phase-field modeling (submitted). Computational Materials Science (accepted in July 2015), Bd. 1, S. 29 pages.
  • A. Mikelic, M. F. Wheeler, T. Wick (2015, online: 2015) A phase-field method for propagating fluid-filled fractures coupled to a surrounding porous medium. SIAM Multiscale Modeling and Simulation, Bd. 13 (1), S. 367-398.
  • T. Heister, M.F. Wheeler, T. Wick (2015, online: 2015) A primal-dual active set method and predictor-corrector mesh adaptivityfor computing fracture propagation using a phase-field approach. Comput. Methods Appl. Mech. Engrg., Bd. 290, S. 466-495.
  • Toulopoulos, Ioannis (2015, online: 2014) An interior penalty discontinuous Galerkin finite element method for quasilinear parabolic problems. Finite Elements in Analysis and Design, Bd. 95, S. 42-50.
  • A. Mikelic, M. F. Wheeler, T. Wick (2015, online: 2015) A quasistatic phase field approach to pressurized fractures. Nonlinearity, Bd. 28 (5), S. 1371-1399.
  • Langer U. , Yang H. (2015, online: 2014) Partitioned solution algorithms for fluid–structure interaction problems with hyperelastic models. Journal of Computational and Applied Mathematics, Bd. 276, S. 47-61. (link)
  • T. Richter, T. Wick (2015, online: 2014) Variational Localizations of the Dual-Weighted Residual Estimator. Journal of Computational and Applied Mathematics, Bd. 279, S. 192-208.
  • Bayramov, Nadir and Kraus, Johannes (2015, online: 2014) On the stable solution of transient convection-diffusion equations. Journal of Computational and Applied Mathematics, Bd. 280, S. 275-293 . (link)
  • Mantzaflaris, Angelos; Jüttler, Bert (2014) Integration by interpolation and look-up for Galerkin-based isogeometric analysis. Comp. Methods Appl. Mech. Engrg., Bd. 284, S. 373-400. (link)
  • B. Ganis, M. Mear, A. Sakhaee-Pour, M. F. Wheeler, T. Wick (2014, online: 2014) Modeling Fluid Injection in Fractures with a Reservoir Simulator Coupled to a Boundary Element Method. Computational Geosciences, Bd. 18 (5), S. 613-624.
  • Dietmar Kröner, Michael Ruzicka and Ioannis Toulopoulos (2014, online: 2014) Numerical solutions of systems with (p,delta) structure using localdiscontinuous Galerkin finite element methods. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Bd. 76, S. 855-874.
  • Kraus, Johannes and Lymbery, Maria and Margenov, Svetozar (2014, online: 2014) Auxiliary space multigrid method based on additive Schur complement approximation. Numer. Linear Algebra Appl., Bd. Published online in Wiley Online Library, S. wileyonlinelibrary.com . (link)
  • Willems, J. (2014, online: 2014) Robust Multilevel Methods for General Symmetric Positive Definite Operators. SIAM Journal on Numerical Analysis, Bd. 52 (1), S. 103-124 .
  • Kraus, Johannes and Lymbery, Maria and Margenov, Svetozar (2014, online: 2013) Robust multilevel methods for quadratic finite element anisotropic elliptic problems. Numer. Linear Algebra Appl., Bd. 21 (3), S. 375-398 . (link)
  • Spillane, N.; Dolean, V.; Hauret, P.; Nataf, F.; Pechstein, C. et al. [..] (2014, online: 2013) Abstract robust coarse spaces for systems of PDEs via gereralized eigenproblems in the overlap. Numerische Mathematik, Bd. 126 (4), S. 741–770 .
  • M. F. Wheeler, T. Wick, W. Wollner (2014, online: 2014) An Augmented-Lagrangian Method for the Phase-Field Approach for Pressurized Fractures. Comp. Meth. Appl. Mech. Engrg, Bd. 271, S. 69-85.
  • Diening, Lars; Kröner, Dietmar; Růžička, Michael; Toulopoulos, Ioannis (2014, online: 2013) A local discontinuous Galerkin approximation for systems with p-structure. IMA Journal of Numerical Analysis, Bd. 34 (4), S. 1447-1488.
  • Langer, U.; Wolfmayr, M. (2013) Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. Journal of Numerical Mathematics, Bd. 21 (4), S. 265-300.
  • K.P.S. Gahalaut, S.K. Tomar and J.K. Kraus (2013, online: 2013) Algebraic Multilevel Preconditioning in Isogeometric Analysis: Construction and Numerical Studies. Computer Methods in Applied Mechanics and Engineering, Bd. 266, S. 40-56. (link)
  • Willems, Joerg (2013, online: 2013) Robust Multilevel Solvers for High-Contrast Anisotropic Multiscale Problems. Journal of Computational and Applied Mathematics, Bd. 251, S. 47-60.
  • M. Eslitzbichler, C. Pechstein, R. Ramlau (2013) An H^1 Kaczmarz reconstructor for atmospheric tomography. Journal of Inverse and Ill-Posed Problems, Bd. 21 (3), S. 431-450.
  • B. Ayuso de Dios, I. Georgiev, J. Kraus, L. Zikatanov (2013) A subspace correction method for discontinuous Galerkin discretizations of linear elasticity equations. ESAIM: Mathematical Modelling and Numerical Analysis, Bd. 47 (05), S. 1315-1333.
  • Tomar, S.K. (2013, online: 2013) Robust Algebraic Multilevel Preconditioning in H(curl) and H(div). Computers and Mathematics with Applications, Bd. 66 (6), S. 1024-1046. (link)
  • J. Brannick, Y. Chen, J. Kraus, L. Zikatanov (2013) Algebraic multilevel preconditioners for the graph {L}aplacian based on matching in graphs. SIAM Journal on Numerical Analysis, Bd. 51 (3), S. 1805-1827.
  • Pechstein, Clemens (2013, online: 2011) Shape-explicit constants for some boundary integral operators. Applicable Analysis: An International Journal, Bd. 92 (5), S. 949-974 .
  • Pechstein, Clemens; Scheichl, Robert (2013, online: 2012) Weighted Poincare Inequalities. IMA Journal of Numerical Analysis, Bd. 33 (2), S. 652-686 . (link)
  • J. Kraus, M. Lymbery, S. Margenov (2013, online: 2013) Robust multilevel methods for quadratic finite element anisotropic elliptic problems. Numerical Linear Algebra with Applications, Bd. In Press., S. -.
  • Kollmann, M.; Kolmbauer, M.; Langer, U.; Wolfmayr, M.; Zulehner, W. (2013) A robust finite element solver for a multiharmonic parabolic optimal control problem. Computers and Mathematics with Applications, Bd. 65 (3), S. 469-486.
  • Langer, U.; Kolmbauer, M. (2013) A Robust Preconditioned MinRes Solver for Time-Periodic Eddy Current Problems. Computational Methods in Applied Mathematics, Bd. 13 (1), S. 1-20.
  • Hong, Qingguo; Hu, Jun; Shu, Shi; Xu, Jinchao (2012, online: 2012) A DISCONTINUOUS GALERKIN METHOD FOR THE FOURTH-ORDER CURL PROBLEM. Journal of Computational Mathematics, Bd. Vol.30 (No.6, 2012), S. 565–578 . (link)
  • Emiris, I.; Mantzaflaris, A.; Mourrain, B. (2012) Voronoï Diagrams of Algebraic Distance Fields. Computer-Aided Design, Elsevier, Bd. 45 (2), S. 511-516.
  • Gahalaut, K.; Kraus, J.; Tomar, S.K. (2012) Multigrid methods for isogeometric discretization. Computer Methods in Applied Mechanics and Engineering, Bd. 253 (413-425), S. 13.
  • Kraus, J. (2012, online: 2012) Additive Schur complement approximation and application to multilevel preconditioning. SIAM Journal on Scientific Computing, Bd. 34 (6), S. A2872–A2895 .
  • Langer, U.; Kolmbauer, M. (2012) A Robust Preconditioned Solver for Distributed Time-Periodic Eddy Current Optimal Control Problems. SIAM J. Sci. Comput., Bd. 34 (6), S. 25, B785-B809.
  • Korneev, V.; Kuznetsov, Y.; Langer, U.; Matsokin, A. (2012, online: 2012) Editorial. Computational Methods in Applied Mathematics, Bd. 12 (4), S. 367-368. (link)
  • Emiris, I. Z.; Mantzaflaris, A. (2012) Multihomogeneous Resultant Formulae for Systems with Scaled Support. JSC, Bd. 47 (7), S. 820-842.
  • Beuchler, S.; Pillwein, V.; Zaglmayr, S. (2012, online: 2012) Sparsity optimized high order finite element functions for H(div) on simplices. Numerische Mathematik, Bd. Volume 122 (Issue 2), S. pp 197-225.
  • Willems, J. (2012) Robust Domain Decomposition Preconditioners for Abstract Symmetric Positive Definite Bilinear Forms. Mathematical Modelling and Numerical Analysis, Bd. -, S. 25.
  • (2011, online: 2011) Variational Multiscale Finite Element Method for Flows in Highly Porous Media. SIAM Multiscale Modeling & Simulation, Bd. 9, S. 1350-1372. (link)
  • Willems, J.; Efendiev, Y.; Galvis, J.; Lazarov, R. (2011, online: 2011) Variational multiscale finite element method for flows in highly porous media. Multiscale Model. Simul., Bd. 9, S. 1350-1372.
  • Yang H. , Zulehner W. (2011, online: 2011) Numerical simulation of fluid–structure interaction problems on hybrid meshes with algebraic multigrid methods. Journal of Computational and Applied Mathematics, Bd. 235 (18), S. Pages 5367-5379.
  • J.K. Kraus, S.K. Tomar (2011) Algebraic multilevel iteration method for lowest-order Raviart-Thomas space and applications. International Journal of Numerical Methods in Engineering, Bd. 86, S. 1175–1196 . (link)
  • S.I. Repin, S.K. Tomar (2010) A Posteriori Error Estimates for Nonconforming Approximations of Evolutionary Convection-Diffusion Problems. Journal of Mathematical Sciences. (link)
  • (2010) Fast numerical upscaling of heat equation for fibrous materials., Bd. 13 (6), S. 275-285.
  • S.I. Repin, S.K. Tomar (2010) Guaranteed and robust error bounds for nonconforming approximations of elliptic problems. IMA Journal of Numerical Analysis. (link)
  • Copeland, D.; Langer, U.; Pusch, D. (2009) From the boundary element DDM to local Trefftz ?nite element methods on polyhedral meshes. Domain Decomposition Methods in Science and Engineering XVIII, Lecture Notes in Computational Science and Engineering (LNCSE), S. 315-322.
  • Hofer, C.; Langer, U.; Neumüller, M.; Toulopoulos, I. (online: 2018) Time-multipatch discontinuous Galerkin space-time isogeometric analysis of parabolicevolution problems. Electronic Transactions on Numerical Analysis (49), S. 126-150.
  • Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
  • Hofer, Christoph; Langer, Ulrich (online: 2016) Dual-Primal Isogeometric Tearing and Interconnecting solvers for multipatch dG-IgA equations. Computer Methods in Applied Mechanics and Engineering. (link)
  • Qingguo, Hong; Johannes, Kraus (online: 2016 Uniformly Stable Discontinuous Galerkin Discretization and Robust Iterative Solution Methods for the Brinkman Problem. SIAM Journal on Numerical Analysis, Bd. 54 (5), S. 2750-2774.
  • Kleiss, Stefan K.; Tomar, Satyendra K. (online: 2015) Guaranteed and sharp a posteriori error estimates in isogeometric analysis. Computers & Mathematics with Applications, Bd. 70 (3), S. 167-190 <'http://www.sciencedirect.com/science/article/pii/S0898122115001807'>.
  • N., Bayramov; J., Kraus (online: 2017 Multigrid methods for convection–diffusion problems discretized by a monotone scheme. Computer Methods in Applied Mechanics and Engineering, Bd. 317, S. 723-745.
  • J., Kraus; R., Lazarov; M., Lymbery; S., Margenov; L., Zikatanov (online: 2016 Preconditioning Heterogeneous H(div) Problems by Additive Schur Complement Approximation and Applications. SIAM Journal on Scientific Computing, Bd. 38 (2), S. A875-A898.
  • Takacs, Stefan (online: 2015 A robust multigrid method for the time-dependent Stokes problem. SIAM Journal on Numerical Analysis, Bd. 53 (6), S. 2634-2654 <'http://epubs.siam.org/doi/10.1137/140969658'>. (link)
  • Kraus, J.; Vassilevski, P.; Zikatanov, L. (online: 2012 Polynomial of best uniform approximation to 1/x and smoothing in two-level methods. Computational Methods in Applied Mathematics, Bd. 12 (4), S. 448–468. (link)
  • Takacs, Stefan (online: 2015 A robust multigrid method for the time-dependent Stokes problem. SIAM Journal on Numerical Analysis, Bd. 53 (6), S. 2634-2654 <'http://epubs.siam.org/doi/10.1137/140969658'>. (link)
  • Sogn, Jarle; Takacs, Stefan (online: 2018) Robust multigrid solvers for the biharmonic problem in isogeometric analysis. Computers and Mathematics with Applications. (link)
  • Dietmar Kröner, Michael Ružicka, Ioannis Toulopoulos (online: 2014 Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier–Stokes equations. Journal Computational Physics, Bd. 270, S. 182-202.
  • Yang, H. (online: 2012 Partitioned solvers for the fluid-structure interaction problems with a nearly incompressible elasticity model. Computing and Visualization in Science, Bd. 14 (5), S. 227-247.
  • T. Malkmus, ; Růžička, M.; S. Eckstein, ; Toulopoulos, I. Generalizations of SIP Methods to systems with p-structure. IMA Journal of Numerical Analysis., Bd. 2017, S. 00.
  • Mantzaflaris, A.; Jüttler, B.; Khoromskij, B.; Langer, Ulrich (online: 2016) Low rank tensor methods in galerkin-based isogeometric analysis. Comput. Methods Appl. Mech. Engrg.

Book/Monograph
  • Korneev, V.G.; Langer, U. (2015) Dirichlet-Dirichlet Domain Decomposition Methods for Elliptic Problems: h and hp Finite Element Discretizations.; New Jersey - London - Singapore: World Scientific Publishing Company Incorporated.
  • P. Bastian, ; J. Kraus, ; R. Scheichl, ; Wheeler, M.F. (2013, online: 2013) Simulation of flow in porous media: Applications in Energy and Environment. In Reihe: Radon Series on Computational and Applied Mathematics: Walter De Gruyter Inc.
  • M. Cullen, ; M.A. Freitag, ; S. Kindermann, ; Scheichl, R. (2013, online: 2013) Large scale inverse problems: Computational methods and applications in the earth sciences. In Reihe: Radon Series on Computational and Applied Mathematics: Walter De Gruyter Inc.
  • I. Graham, ; U. Langer, ; J. M. Melenk, ; Sini, M. (2013, online: 2013) Direct and Inverse Problems in Wave Propagation and Applications. In Reihe: Radon Series on Computational and Applied Mathematics, ISBN-10: 3110282232, ISBN-13: 978-3110282238. Aufl.: Walter De Gruyter Inc.
  • Pechstein, Clemens (2013) Finite and Boundary Element Tearing and Interconnecting Solvers for Multiscale Problems. In Reihe: Lecture Notes in Computational Science and Engineering, hrsg. v. Barth, T.J.; Griebel, M.; Keyes, D.E.; Nieminen, R.M.; Roose, D. et al. [..]; Heidelberg: Springer (312 Seiten) .
  • Langer, U.; Jung, M. (2013) Methode der finiten Elemente für Ingenieure: Eine Einführung in die numerischen Grundlagen und Computersimulation., Bd. 45, 2., überarb. u. erw. Aufl. Aufl.; Darmstadt: Springer-Vieweg-Verlag (639 Seiten).

Conference Contribution: Publication in Proceedings
  • Hofer, Christoph; Langer, Ulrich; Takacs, Stefan (2018) Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 397-406. (link)
  • Takacs, Stefan (2018) Robust multigrid methods for isogeometric discretizations of the Stokes equation. In: P. E. Bjørstad, S. C. Brenner, L. Halpern, R. Kornhuber, H. H. Kim, T. Rahman, O. B. Widlund (Hrsg.), Domain Decomposition Methods in Science and Engineering XXIV (Domain Decomposition Methods XXIV) In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer, S. 513-522. (link)
  • U., Langer; A., Mantzaflaris; S.E., Moore; I., Toulopoulos (2015) Multipatch discontinuous Galerkin isogeometric analysis. In: Springer, Heidelberg (Hrsg.), Isogeometric Analysis and Applications IGAA 2014, (Isogeometric Analysis and Applications 2014,) In Reihe: Lecture Notes in Computer Science Vol 107, hrsg. v. B. Juttler and B. Simeon,, S. 1-32.
  • Jüttler, Bert; Langer, Ulrich; Mantzaflaris, Angelos; Moore, Stephen E.; Zulehner, Walter (2014, online: 2014) Geometry + Simulation Modules: Implementing Isogeometric Analysis., PAMM; Erlangen: Wiley, S. 961-962. (link)
  • Hofreither, Clemens; Langer, Ulrich; Pechstein, Clemens (2014, online: 2013) FETI solvers for non-standard finite element equations based on boundary integral operators. In: Erhel, Jocelyne; Gander, Martin J.; Halpern, Laurence; Pichot, Géraldine; Sassi, Taoufik et al. [..] (Hrsg.), Domain Decomposition Methods in Science and Engineering XXI In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 98; Heidelberg: Springer International Publishing, S. 729-737 .
  • Pechstein, Clemens (2014, online: 2013) On Iterative Substructuring Methods for Multiscale Problems. In: Erhel, Jocelyne; Gander, Martin J.; Halpern, Laurence; Pichot, Géraldine; Sassi, Taoufik et al. [..] (Hrsg.), Domain Decomposition Methods in Science and Engineering XXI In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 98; Heidelberg: Springer International Publishing, S. 85-98.
  • Langer, U.; Yang, H. (2012) Domain Decomposition Solvers for Some Fluid‐Structure Interaction Problems., PAMM: WILEY‐VCH Verlag, S. 375-376.
  • Efendiev, Y.; Galvis, J.; Lazarov, R.; Willems, J. (2012) Robust Solvers for Symmetric Positive Definite Operators and Weighted Poincaré Inequalities.
  • Hofreiter C. , Langer U., Pechstein C. (2012, online: 2012) A Finite Element Solver for a Multiharmonic Parabolic Optimal Control Problem. In: Ivan Lirkov, Svetozar Margenov, Jerzy Wasniewski (Hrsg.), Large-Scale Scientific Computing: 8th International Conference, LSSC 2011, Sozopol, Bulgaria, June 6-10th, 2011. Revised Selected Papers (Lecture .. Computer Science and General Issues (8th International Conference on "Large-Scale Scientific Computations") In Reihe: Lecture Notes in Computer Science; Heidelberg: Springer, S. 27-41.
  • Hofreither, C.; Langer, U.; Pechstein, C. (2012) A non-standard finite element method based on boundary integral operators. In: Lirkov, I.; Margenov, S.; Wasniewski, J. (Hrsg.), Proceedings of 8th International Conference on Large Scale Scientific Computations (LSSC11), volume 7116 of Lecture Notes in Computer Science (LNCS); Berlin, Heidelberg, New York: Springer.
  • Kolmbauer, M.; Langer, Ulrich (2011) A Frequency-Robust Solver for the Time-Harmonic Eddy Current Problem. In: B. Michielsen, J.-R. Poirier (Hrsg.), Scientific Computing in Electrical Engineering (SCEE 2010) In Reihe: Mathematics in Industry; Berlin, Heidelberg: Springer-Verlag, S. 97--105.
  • Hofreither, C.; Langer, U.; Pechstein, C. (2011, online: 2011) A non-standard finite element method for convection-diffusion-reaction problems on polyhedral meshes. In: Todorov, Michail D.; Christov, Christo I. (Hrsg.), Application of Mathematics in Technical andNatural Sciences, volume 1404 of AIP Conference Proceedings (3rd International Conference - AMiTaNS 2011), S. 397 - 404.
  • D. Copeland, M. Kohlbauer, and U. Langer (2011, online: 2011) Domain decomposition solvers for frequency-domain finite element equations. In: Y. Huang, R. Kornhuber, O. Widlund and J. Xu (Hrsg.), Domain Decomposition Methods in Science and Engineering XIX (DDM XIX) In Reihe: Lecutre Notes in Computational Science and Engineering; Heidelberg: Springer, S. 301-308.
  • Yang, H.; Zulehner, W. (2010) A Newton Based FluidStructure Interaction Solver with Algebraic Multigrid Methods on Hybrid Meshes. In: Y. Huang, R. Kornhuber, O. Widlund, J. Xu, (Hrsg.), Domain Decomposition Methods in Science and Engineering XIX (Domain Decomposition Methods in Science and Engineering XIX) In Reihe: Lecture Notes in Computational Science and Engineering, S. 285-292.
  • Yang, H.; Zulehner, W. (2010) Numerical Simulation of Fluid-Structure-Interaction Problems on Hybrid Meshes with Algebraic Multigrid Method. In: I. Lirkov, S. Margenov and J. Wasniewski (Hrsg.), Proceedings of 7th International Conference on Large Scale Scientific Computations (7th International Conference on Large Scale Scientific Computations) In Reihe: Lecture Notes in Computer Science (LNCS), S. 116-123.
  • Langer, U.; Neumüller, M.; Toulopoulos, I. Multipatch Space-Time Isogeometric Analysis of Parabolic Diffusion Problems. In: I. Lirkov, S. Margenov (Hrsg.), Large-Scale Scientific Computing In Reihe: 11th International Conference, LSSC 2017, Sozopol, Bulgaria, Revised Papers.
  • Hofer, Christoph; Takacs, Stefan A parallel multigrid solver for multi-patch Isogeometric Analysis. In: Apel, Thomas; Langer, Ulrich; Meyer, Arnd; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods with Applications - Proceedings of the 30th Chemnitz FEM Symposium 2017 In Reihe: Lecture Notes in Computational Science and Engineering, Bd. 28: Springer. (link)
  • N.Bayramov, T.Nagapetyan, R.Pinnau (online: 2013 Fast Optimal Control of Asymmetric Flow Field Flow Fractionation Processes. (SIAM Conference on Control and Its Applications). (link)

Conference Contribution: Poster (in Proceedings)
  • Emiris, Ioannis Z.; Mantzaflaris, Angelos; Mourrain, Bernard (2012) Yet Another Algorithm for Generalized Voronoi Diagrams (Poster). Symposium on Applied Computing.

Contribution in Collection
  • Langer, U.; Neumüller, M. (2017) Direct and iterative solvers. In: Kaltenbacher, M. (Hrsg.), Computational Acoustics, 579. Aufl.: Springer-Verlag, S. 205-251.
  • Mital, P.; Wick, T.; Wheeler, M.F.; Pencheva, G. (2016, online: 2016) Discontinuous and enriched Galerkin methods for phase-field fracture propagation in elasticity.
  • Wick, T. (2016, online: 2016) Coupling fluid-structure interaction with phase-field fracture: modeling and a numerical example.
  • Hofer, Christoph; Langer, Ulrich (2016) Dual-Primal Isogeometric Tearing and Interconnecting Methods. In: P. Neittanmakki, J. Periaux, O. Pironneau (Hrsg.), Contributions to PDE for Applications: Springer.
  • Wick, T. (2015) Dual-weighted residual adaptivity for phase-field fracture propagation., S. 619-620.
  • Wick, T. (2015) Goal-oriented error estimation and mesh adaptivity for phase-field-based fracture propagation (YIC-GACM Proc. in Aachen July 20-24, 2015).
  • Kraus, Johannes; Lymbery, Maria (2015) Auxiliary space multigrid method for elliptic problems with highly varying coefficients., Domain Decomposition methods in Science and Engineering 22; Berlin Heidelberg: Springer.
  • S. Frei, T. Richter, T. Wick (2014, online: 2014) Eulerian Techniques for Fluid-Structure Interactions - Part II: Applications., ENUMATH Proc.: Springer.
  • S. Frei, T. Richter, T. Wick (2014, online: 2014) Eulerian Techniques for Fluid-Structure Interactions - Part I: Modeling and Simulation., ENUMATH Proc.: Springer.
  • K. Kumar, T. van Noorden, M. F. Wheeler, T. Wick (2014, online: 2014) An ALE-based method for reaction-induced boundary movement towards clogging., ENUMATH Proc.: Springer.
  • Mantzaflaris, Angelos; Mourrain, Bernard (2014, online: 2014) Singular zeros of polynomial systems., Advances in ShApes, Geometry, and Algebra: Springer, S. 77-103. (link)
  • Mantzaflaris, Angelos; Jüttler, Bert (2014, online: 2014) Exploring matrix generation strategies in isogeometric analysis., Mathematical Methods for Curves and Surfaces: Springer, S. 364-382. (link)
  • T. Richter, T. Wick (2014, online: 2014) On time discretizations of fluid-structure interactions., Multiple Shooting and Time Domain Decomposition Methods: Springer.
  • T. Wick, G. Singh, M.F. Wheeler (2014, online: 2014) Pressurized-Fracture propagation using a phase-field approach coupled to a reservoir simulator.: Society of Petroleum Engineers.
  • G. Singh, G. Pencheva, T. Wick, B. Ganis, M.F. Wheeler (2014, online: 2014) Impact of accurate fractured reservoir flow modeling on recovery predictions.: Society of Petroleum Engineers.
  • Willems, Jörg (2013) Spectral coarse spaces in robust two-level methods. In: Iliev, O.P.; Margenov, S.D.; Minev, P.D.; Vassilevski, P.S.; Zikatanov, L.T. (Hrsg.), Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications, 1st. Aufl.: Springer, S. 303-326.
  • Pechstein, Clemens; Hofreither, Clemens (2013, online: 2013) A rigorous error analysis of coupled FEM-BEM problems with arbitrary many subdomains. In: Apel, Thomas; Steinbach, Olaf (Hrsg.), Advanced Finite Element Methods and Applications; Berlin Heidelberg: Springer, S. 109-132 .
  • Langer, U.; Kolmbauer, M. (2013) Efficient solvers for some classes of time-periodic eddy current optimal control problems. In: Iliev, Oleg P.; Margenov, Svetozar D.; Minev, Peter D.; Vassilevski, Panayot S.; Zikatanov, Ludmil T. (Hrsg.), Numerical solution of Partial Differential Equations: Theory, Algorithms and Their Applications: In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics; Heidelberg: Springer Verlag, S. 203-216.
  • Langer, U.; Wolfmayr, M. (2012) Multiharmonic finite element analysis of a time-periodic parabolic optimal control problem. In: H.-D. Alber, N. Kraynyukova and C. Tropea (Hrsg.), PAMM; Darmstadt: WILEY-VCH Verlag, S. 687 – 688. (link)
  • Kolmbauer, M.; Langer, U. (2012) A robust preconditioned minres solver for distributed time-periodic eddy current optimal control problems. In: Bank, R.E.; Hackbusch, W.; Wittum, G. (Hrsg.), Fast Solvers for Partial Differential Equations, volume 8 of Oberwolfach Reports: EMS Publishing House, S. 1561–1563.
  • Gruber, P.G.; Kienesberger, J.; Langer, Ulrich; Schüberl, J.; Valdman, J. (2012) Fast solvers and a posteriori error estimates in elastoplasticity. In: Langer, U.; Paule, P. (Hrsg.), Numerical and Symbolic Scientific Computation: Progress and Prospects, Texts and Monographs in Symbolic Computation; Wien: Springer, S. 45-63.
  • Beuchler, S.; Pillwein, V.; J. Schoeber, ; Zaglmayr, S. (2011, online: 2011) Sparsity optimized high finite element function on Simplices. In: Ulrich Langer, Peter Paule (Hrsg.), Numerical and Symbolic Scientific Computation: Progress and Prospects Texts and Monographs in Symbolic Computation; Wien: Springer Verlag, S. 21-44.

Editorship
  • (2015) Editorial. In Reihe: Computational Methods in Applied Mathematics, Bd. 15.