16 citations · 19 across the 11 of their papers we have counts for
11 papers
A posteriori error estimates for variational inequalities of the second kind in an abstract framework
Lothar Banz, Miriam Schönauer, Andreas Schröder
In this paper, an abstract framework is introduced for the derivation of reliable a posteriori error estimators for variational inequalities of the second kind. Under certain condi…
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…
Improved stabilization technique for frictional contact problems solved with hp-BEM
Lothar Banz, Gregor Milicic, Nina Ovcharova
We improve the residual based stabilization technique for Signorini contact problems with Tresca friction in linear elasticity solved with -mixed BEM which has been recently an…
On the coupling of regularization techniques and the boundary element method for a hemivariational inequality modelling a delamination problem
Nina Ovcharova, Lothar Banz
In this paper, we couple regularization techniques with the adaptive -version of the boundary element method (-BEM) for the efficient numerical solution of linear elastic p…
Stabilized mixed hp-BEM for frictional contact problems in linear elasticity
Lothar Banz, Heiko Gimperlein, Abderrahman Issaoui +1
We investigate hp-stabilization for variational inequalities and boundary element methods based on the approach introduced by Barbosa and Hughes for finite elements. Convergence of…
Numerical simulations of the nonlinear Molodensky problem
Lothar Banz, Adrian Costea, Heiko Gimperlein +1
We present a boundary element method to compute numerical approximations to the non-linear Molodensky problem, which reconstructs the surface of the earth from the gravitational po…
High precision modeling at the 10^{-20} level
M. Andres, L. Banz, A. Costea +6
The requirements for accurate numerical simulation are increasing constantly. Modern high precision physics experiments now exceed the achievable numerical accuracy of standard com…