5 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…
Error estimates for perturbed variational inequalities of the first kind
Lothar Banz, Miriam Schönauer, Andreas Schröder
In this paper, we derive a priori error estimates for variational inequalities of the first kind in an abstract framework. This is done by combining the first Strang Lemma and the…
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…