An adaptive space-time Newton–Galerkin approach for semilinear singularly perturbed parabolic evolution equations

DOI10.1093/imanum/drw049zbMath1433.65205arXiv1510.00622OpenAlexW2525999793MaRDI QIDQ4683818

Thomas P. Wihler, Mario Amrein

Publication date: 26 September 2018

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00622

zbMATH Keywords

semilinear parabolic problemsNewton methodssingularly perturbed problemsadaptive space-time discretizations

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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