$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes

DOI10.1137/16M1073285zbMath1371.65106arXiv1605.01212MaRDI QIDQ5348256

Andrea Cangiani, Zhaonan Dong, Emmanuil H. Georgoulis

Publication date: 15 August 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.01212

zbMATH Keywords

error boundnumerical experimentparabolic evolution equations\(hp\)-finite element methodsspace-time discontinuous Galerkindiscontinuous Galerkin time-steppingprismatic space-time elementsreduced cardinality basis functions

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) 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 solutions to abstract evolution equations (65J08)

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Uses Software

• PolyMesher

Cites Work

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