Galerkin methods for the `parabolic equation' Dirichlet problem in a variable 2-D and 3-D topography

DOI10.1016/J.APNUM.2011.04.002zbMath1264.65186OpenAlexW2023861842MaRDI QIDQ1946130

Dimitra Antonopoulou

Publication date: 18 April 2013

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2011.04.002

zbMATH Keywords

stabilityGalerkin methoderror estimatesnumerical experimentsparabolic equationHelmholtz equationCrank-Nicolson schemeDirichlet initial-boundary value problemparaxial approximationfar field approximationunderwater accoustics

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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) Hydro- and aero-acoustics (76Q05) Finite element methods applied to problems in fluid mechanics (76M10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Finite difference methods for boundary value problems involving PDEs (65N06)

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