Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776195 | Journal of Computational and Applied Mathematics | 2017 | 28 Pages |
Abstract
The matched interface and boundary (MIB) method has a proven ability for delivering the second order accuracy in handling elliptic interface problems with arbitrarily complex interface geometries. However, its collocation formulation requires relatively high solution regularity. Finite volume method (FVM) has its merit in dealing with conservation law problems and its integral formulation works well with relatively low solution regularity. We propose an MIB-FVM to take the advantages of both MIB and FVM for solving elliptic interface problems. We construct the proposed method on Cartesian meshes with vertex-centered control volumes. A large number of numerical experiments are designed to validate the present method in both two dimensional (2D) and three dimensional (3D) domains. It is found that the proposed MIB-FVM achieves the second order convergence for elliptic interface problems with complex interface geometries in both Lâ and L2 norms.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yin Cao, Bao Wang, Kelin Xia, Guowei Wei,