Guaranteed, Locally Space-Time Efficient, and Polynomial-Degree Robust a Posteriori Error Estimates for High-Order Discretizations of Parabolic Problems
From MaRDI portal
Publication:4594906
DOI10.1137/16M1097626zbMath1378.65165arXiv1610.01804OpenAlexW2950655861MaRDI QIDQ4594906
Iain Smears, Martin Vohralík, Alexandre Ern
Publication date: 27 November 2017
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.01804
high-order methodsa posteriori error estimatesparabolic equationsdiscontinuous Galerkinlocal space-time efficiencypolynomial-degree robustness
Initial-boundary value problems for second-order parabolic equations (35K20) 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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