Overresolving in the Laplace Domain for Convolution Quadrature Methods

DOI10.1137/16M106474XzbMath1360.65232arXiv1603.01761OpenAlexW2963406294MaRDI QIDQ2954490

Nicolas Salles, Wojciech Śmigaj, Timo Betcke

Publication date: 13 January 2017

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

Full work available at URL: https://arxiv.org/abs/1603.01761

zbMATH Keywords

numerical exampleserror boundunbounded domainsboundary integral equationsacoustic wave equationconvolution quadrature methodLaplace domainmultistepRunge-Kutta rules

Mathematics Subject Classification ID

Wave equation (35L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)

Related Items (6)

Nyström discretizations of boundary integral equations for the solution of 2D elastic scattering problems ⋮ At the interface between semiclassical analysis and numerical analysis of wave scattering problems. Abstracts from the workshop held September 25 -- October 1, 2022 ⋮ Multiple-scattering frequency-time hybrid solver for the wave equation in interior domains ⋮ High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering ⋮ Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces ⋮ Acoustic Scattering Problems with Convolution Quadrature and the Method of Fundamental Solutions

Uses Software

• BEM++

Cites Work

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