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Abstract - Adaptive Finite Element Analysis in Computational Elastoplasticity with Guaranteed
Convergence
Author: Jan Valdman
Title of the contribution: Adaptive Finite Element Analysis in Computational Elastoplasticity with Guaranteed Convergence
Abstract:
This talk reports on the joint work with C. Carstensen (HUB) and A. Orlando (HUB) on error-adaptivity for
elastoplastic models with hardening. For the primal formulation of plasticity which is described by uniformly convex
and nondifferentiable energy functional, it is proven that using a bulk criterion combined with a new edge-based
residual error estimate the energy reduction and R-linear convergence for the stresses hold among others properties.
Numerical examples in 2D validate theoretical findings.
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