Covolume techniques for anisotropic media
The covolume method, a new approach applicable on general meshes, is extended to discretize and numerically solve the div-curl system in anisotropic media. The covolume method gives simple schemes and good approximations to the solution of the div-curl system. It works directly with the system and utilizes dual pairs of meshes that are orthogonally related. Central to the approach is the introduction of field components tangent and normal to the edges of one of the meshes, and the employment of dual discretizations on the dual mesh pairs. The discretization procedures, schemes and error analysis are presented. The convergence of the method is proved.
scientific article; zbMATH DE number 4215322