40 citations · 59 across the 24 of their papers we have counts for
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math.NA2014
Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations
Mario Amrein, Thomas P. Wihler
In this paper we develop an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations. Our approach combines both…
math.NA2014★ 3 cited
A Posteriori Error Analysis of -FEM for singularly perturbed problems
Jens M. Melenk, Thomas P. Wihler
We consider the approximation of singularly perturbed linear second-order boundary value problems by -finite element methods. In particular, we include the case where the assoc…
math.NA2014
Continuous and Discontinuous Galerkin Time Stepping Methods for Nonlinear Initial Value Problems with Application to Finite Time Blow-Up
Bärbel Holm, Thomas P. Wihler
We consider continuous and discontinuous Galerkin time stepping methods of arbitrary order as applied to nonlinear initial value problems in real Hilbert spaces. Our only assumptio…