@Article{CiCP-6-185, author = {}, title = {A Bilinear Immersed Finite Volume Element Method for the Diffusion Equation with Discontinuous Coefficient}, journal = {Communications in Computational Physics}, year = {2009}, volume = {6}, number = {1}, pages = {185--202}, abstract = {

This paper is to present a finite volume element (FVE) method based on the bilinear immersed finite element (IFE) for solving the boundary value problems of the diffusion equation with a discontinuous coefficient (interface problem). This method possesses the usual FVE method's local conservation property and can use a structured mesh or even the Cartesian mesh to solve a boundary value problem whose coefficient has discontinuity along piecewise smooth nontrivial curves. Numerical examples are provided to demonstrate features of this method. In particular, this method can produce a numerical solution to an interface problem with the usual O(h2) (in L2 norm) and O(h) (in H1 norm) convergence rates.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7677.html} }