6 papers · 1 filter
hp-Finite Elements for Elastoplasticity
Patrick Bammer, Lothar Banz, Miriam Schönauer +1
This article considers a model problem of elastoplasticity with linearly kinematic hardening and presents hp-finite element discretizations of two equivalent weak formulations each…
A Semismooth Newton Solver and its application to an -FE Discretization in Elastoplasticity
Patrick Bammer, Lothar Banz, Miriam Schönauer +1
In this paper, we consider a class of systems of nonlinear equations, which arise in discretized mixed formulations of problems in solid mechanics by -finite elements. We intro…
-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…
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…
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…
An -adaptive strategy based on locally predicted error reductions
Patrick Bammer, Andreas Schröder, Thomas P. Wihler
We introduce a new -adaptive strategy for self-adjoint elliptic boundary value problems that does not rely on using classical a posteriori error estimators. Instead, our approa…