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math.NA2024
-FEM for Elastoplasticity & -Adaptivity Based on Local Error Reductions
Patrick Bammer
The first part of the cumulative thesis contains the numerical analysis of different -finite element discretizations related to two different weak formulations of a model probl…
math.NA2024
A Posteriori Error Estimates for -FE Discretizations in Elastoplasticity
Patrick Bammer, Lothar Banz, Andreas Schröder
In this paper, a reliable a posteriori error estimator for a model problem of elastoplasticity with linear kinematic hardening is derived, which satisfies some (local) efficiency e…
math.NA2024
Mixed Finite Elements of Higher-Order in Elastoplasticity
Patrick Bammer, Lothar Banz, Andreas Schröder
In this paper a higher-order mixed finite element method for elastoplasticity with linear kinematic hardening is analyzed. Thereby, the non-differentiability of the involved plasti…