Mario Amrein
Winterthur Museum, Garden and Library
17 Papers
45 Citations
Mario Amrein is an academic researcher from Winterthur Museum, Garden and Library. The author has contributed to research in topics: Finite element method & Galerkin method. The author has an hindex of 5, co-authored 15 publications. Previous affiliations of Mario Amrein include Lucerne University of Applied Sciences and Arts & University of Bern.
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Papers
Fully Adaptive Newton--Galerkin Methods for Semilinear Elliptic Partial Differential Equations
Mario Amrein,Thomas P. Wihler +1 more
TL;DR: In this article, an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations was developed, which combines both prediction-type adaptive Newton methods and a linear adaptive finite element discretization (based on a robust a posteriori error analysis).
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Fully Adaptive Newton-Galerkin Methods for Semilinear Elliptic Partial Differential Equations
Mario Amrein,Thomas P. Wihler +1 more
TL;DR: In this paper, an adaptive procedure for the numerical solution of general, semilinear elliptic problems with possible singular perturbations was developed, which combines both a prediction-type adaptive Newton method and an adaptive finite element discretization (based on a robust a posteriori error analysis).
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An adaptive space-time Newton–Galerkin approach for semilinear singularly perturbed parabolic evolution equations
Mario Amrein,Thomas P. Wihler +1 more
TL;DR: In this paper, an adaptive procedure for the numerical solution of semilinear parabolic problems with possible singular perturbations was developed, which combines a linearization technique using Newton's method with an adaptive discretization, based on a spatial finite element method and the backward Euler time-stepping scheme.
An $hp$-Adaptive Newton-Galerkin Finite Element Procedure for Semilinear Boundary Value Problems
TL;DR: In this paper, the authors developed an adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1D, with possible singular perturbations, which combines both a prediction-type adaptive Newton method and an adaptive finite element discretization (based on a robust a posteriori residual analysis).
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An hp-adaptive Newton-Galerkin finite element procedure for semilinear boundary value problems
TL;DR: In this paper, an hp-adaptive procedure for the numerical solution of general, semilinear elliptic boundary value problems in 1D, with possible singular perturbations, was developed.
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