Explicit Time Stepping for the Wave Equation using CutFEM with Discrete Extension

DOI10.1137/20M137937XzbMath1493.65146arXiv2011.05386MaRDI QIDQ5864086

Peter Hansbo, Mats G. Larson, Erik Burman

Publication date: 3 June 2022

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

Full work available at URL: https://arxiv.org/abs/2011.05386

zbMATH Keywords

wave equationa priori error estimatesexplicit time steppingCutFEM, discrete extension operator

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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)

Related Items

CutFEM based on extended finite element spaces ⋮ Extension operators for trimmed spline spaces ⋮ Critical time-step size analysis and mass scaling by ghost-penalty for immersogeometric explicit dynamics ⋮ Isogeometric multi-resolution full waveform inversion based on the finite cell method ⋮ Robust high-order unfitted finite elements by interpolation-based discrete extension

Uses Software

• CutFEM

Cites Work

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