Error Analysis of Energy-Preserving Mixed Finite Element Methods for the Hodge Wave Equation

DOI10.1137/19M1307950zbMath1476.65257arXiv2009.02844OpenAlexW3164840311MaRDI QIDQ4994414

YongKe Wu, Yan-hong Bai

Publication date: 18 June 2021

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.02844

zbMATH Keywords

energy conservationde Rham complexoptimal error estimatesHodge wave equation

Mathematics Subject Classification ID

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to abstract evolution equations (65J08)

Related Items (3)

Energy-stable mixed finite element methods for a ferrofluid flow model ⋮ Dual field structure-preserving discretization of port-Hamiltonian systems using finite element exterior calculus ⋮ Energy-preserving mixed finite element methods for the elastic wave equation

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