Hence, the overlap between the refined regions on each processor is restricted to a single layer at each level of the mesh hierarchy. Throughout this work we refine a triangle by bisecting each edge to produce 4 children a tetrahedron by bisecting each edge to produce 8 children. Following the usual parallel finite element approach, a distributed global stiffness matrix may be assembled in parallel on the two processors by permitting processor i to assemble contributions from those fine mesh elements inside subdomain i only. An isotropic linear diffusion equation. At each level, an extra layer of elements, which are immediate neighbours, is also refined.
Isotropic partition is best for isotropic problems.
Anisotropic partition is best for anisotropic problems. Implementation for non-linear equations and systems. High local h-refinement to capture sharp features like shocks and boundary layer. More subdomains than number of processes. A New Paradigm for parallel adaptive Meshing Algorithms , to appear in SIAM J. on Sci.