IMI-BAS BAS
 

BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Preprints >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/3346

Title: A Proof of 2nd Order Pointwise Convergence for a Finite Volume Scheme for a Class of Interface Problems with Piecewise Constant Coefficients
Authors: Iliev, Oleg P.
Issue Date: Jun-1998
Publisher: Institute of Mathematics with Computer Center at the Bulgarian Academy of Sciences
Citation: Preprint
Series/Report no.: 1998;2
Abstract: The paper presents a proof of 2nd order pointwise convergence for a new finite difference scheme for elliptic problems with discontinuous coefficients (so called interface problems). Cell-centred grid is exploited, i.e., the computational domain is divided into grid cells, and the values of the unknown function are related to the cell centers. It is assumed that the diffusivity coefficient is a constant within any grid cell, and that interfaces are aligned with the boundaries of the grid cells. The 2nd order pointwise convergence is proved under the assumption that the normal components of the fluxes of the solution are smooth enough at the midpoints of the finite volumes sides. Numerical experiments, confirming 2nd order pointwise convergence for the new scheme, are presented.
Description: [Iliev Oleg P.; Илиев Олег П.]
URI: http://hdl.handle.net/10525/3346
Appears in Collections:Preprints

Files in This Item:

File Description SizeFormat
P-1998-02.pdf10.19 MBAdobe PDFView/Open

 


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0!   Creative Commons License