A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems

Juri D Kandilarov,Lubin G Vulkov,Miglena N Koleva

doi:10.1007/978-3-540-78827-0_78

A Second-Order Cartesian Grid Finite Volume Technique for Elliptic Interface Problems

Juri D Kandilarov, Lubin G Vulkov + Show 1 more

https://doi.org/10.1007/978-3-540-78827-0_78

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Publication Date: Jan 1, 2008

Citations: 5

Affiliation: European University of Lefke

#Second-order Finite Volume Method #Second-Order Finite Volume + Show 8 more

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Abstract

A second-order finite volume method (FVM) difference scheme for elliptic interface problems is discussed. The method uses bilinear functions on Cartesian grid for the solution resulting in a compact nine-point stencil. Numerical experiments show second order of accuracy.2000 Mathematics Subject Classification65M0665M12Keywordsparabolic equationsdynamical boundary conditions

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