At the boundary of infinity: numerical methods for unbounded domains

DOI10.1007/S000170050073zbMath0948.65103OpenAlexW2041603895MaRDI QIDQ1570889

Marcus J. Grote

Publication date: 26 November 2000

Published in: Elemente der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000170050073

zbMATH Keywords

convergencewave equationwave propagationnumerical testserror boundsunbounded domainsnonlocal boundary conditionsartificial boundarypseudo-differential operatorsHuygens's principleKirchhoff's integral representation

Mathematics Subject Classification ID

Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

• Non-reflecting boundary conditions
• A perfectly matched layer for the absorption of electromagnetic waves
• Radiation boundary conditions for wave-like equations
• Absorbing Boundary Conditions for the Numerical Simulation of Waves

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