Finite Element Difference Schemes for Electro- and Magnetostatics

摘要

Two versions of variational-diffcrence method for solving inbomogeneous problems with curved material boundaries on regular hexahedral grids are developed. The solution is at least as accurate as in the finite element method on irregular geometrically conforming meshes but the data structures are as simple as in finite difference schemes. The proposed approach combines the ideas of the Generalized Finite Element - Partition of Unity methods, Discontinuous Gaierkin Methods and Finite Difference / Finite Volume / Finite Integration Techniques.