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

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