In micromagnetic simulations it is necessary to compute the effective field associated exchange interaction, which corresponds applying Laplace operator magnetization field. The most widely used approach for computing apply finite-difference schemes homogeneous Cartesian meshes. many situations would be computationally advantageous perform simulation on inhomogeneous meshes, but doing so presen...

I I of Partial A general survey of grid generation is presented with a concern for understanding why grids are necessary, how they are applied, and how they are generated. After an examination of the need for such meshes, the overall applications setting is established with a categorization of the various connectivity patterns. This is split LvetWee~; structured grids and unstructured meshes. A...

A more automatic method for generation of tetrahedra and directional surface meshes are the two developments presented in this paper. Un-structured grids are generated for complex 3-D ge-ometries including multi-body domains. A combined octree-advancing front method is presented for the generation of the unstructured surface mesh as well as the tetrahedral volume mesh. The unique feature of thi...

We derive Godunov-type semidiscrete central schemes for Hamilton–Jacobi equations on triangular meshes. High-order schemes are then obtained by combining our new numerical fluxes with high-order WENO reconstructions on triangular meshes. The numerical fluxes are shown to be monotone in certain cases. The accuracy and high-resolution properties of our scheme are demonstrated in a variety of nume...