The Variable-Order Discontinuous Galerkin Time Stepping Scheme for Parabolic Evolution Problems is Uniformly $L^\infty$-Stable
DOI10.1137/17M1158835zbMath1415.65230arXiv1711.09650OpenAlexW2963612969MaRDI QIDQ4620408
Lars Schmutz, Thomas P. Wihler
Publication date: 8 February 2019
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1711.09650
stability\(hp\)-methodsGalerkin discretizationsdiscontinuous Galerkin time steppingparabolic evolution problems
Abstract parabolic equations (35K90) 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)
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