40 citations · 59 across the 24 of their papers we have counts for
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Fully Adaptive Newton-Galerkin Time Stepping Methods for Singularly Perturbed Parabolic Evolution Equations
Mario Amrein, Thomas P. Wihler
In this paper we develop an adaptive procedure for the numerical solution of semilinear parabolic problems, with possible singular perturbations. Our approach combines a linearizat…
An Adaptive Variable Order Quadrature Strategy
Paul Houston, Thomas P. Wihler
In this article we propose a new adaptive numerical quadrature procedure which includes both local subdivision of the integration domain, as well as local variation of the number o…
Adaptive Energy Minimisation for -Finite Element Methods
Paul Houston, Thomas P. Wihler
This article is concerned with the numerical solution of convex variational problems. More precisely, we develop an iterative minimisation technique which allows for the successive…
Iterative Galerkin Discretizations for Strongly Monotone Problems
Scott Congreve, Thomas P. Wihler
In this article we investigate a finite element formulation of strongly monotone quasi-linear elliptic PDEs in the context of fixed-point iterations. As opposed to Newton's method,…