A Space-Time DPG Method for the Heat Equation

DOI10.1016/J.CAMWA.2021.11.013zbMath1524.65789arXiv2012.13229MaRDI QIDQ6356882

Johannes Storn, Lars Diening

Publication date: 24 December 2020

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Heat equation (35K05) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) 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) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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