A finite element discretization of the standard parabolic equation in generalized boundary fitting coordinates

DOI10.1016/J.APNUM.2011.05.005zbMath1263.65096OpenAlexW2113985093MaRDI QIDQ1946145

A. I. Delis, Nikolaos A. Kampanis, Dimitra Antonopoulou, G. V. Kozyrakis

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.2011.05.005

zbMATH Keywords

initial-boundary value problemnumerical examplesfinite element formulationnonlocal boundary conditionswaveguideatmospheric acousticsCrank-Nicolson in timegeneralized boundary fitting coordinatesirregular ground topographystandard parabolic approximation

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

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