Modification of dimension-splitting methods—overcoming the order reduction due to corner singularities

DOI10.1093/imanum/dru030zbMath1321.65132OpenAlexW2099979128MaRDI QIDQ2944216

Michael Sandbichler, Tobias Hell, Alexander Ostermann

Publication date: 28 August 2015

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/dru030

zbMATH Keywords

Dirichlet problemevolution equationcorner singularitiesPoisson equationcompatibility conditionsnumerical experimentparabolic problemsorder reductiondimension splittingLie splitting

Mathematics Subject Classification ID

Abstract parabolic equations (35K90) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

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