Conditional A Posteriori Error Bounds for High Order Discontinuous Galerkin Time Stepping Approximations of Semilinear Heat Models with Blow-up
DOI10.1137/21M1418964zbMath1490.65204arXiv2105.03463WikidataQ114074036 ScholiaQ114074036MaRDI QIDQ5864090
Stephen Metcalfe, Thomas P. Wihler
Publication date: 3 June 2022
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.03463
semilinear heat equationblow-up singularitiesconditional a posteriori error estimatestemporal and elliptic reconstructionsvariable order dG time stepping methods
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)
Uses Software
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