We study the mimetic finite difference discretization of diffusion-type problems on unstructured polyhedral meshes. We demonstrate high accuracy of the approximate solutions for general diffusion tensors, the second-order convergence rate for the scalar unknown and the first order convergence rate for the vector unknown on smooth or slightly distorted meshes, on non-matching meshes, and even on...

Unstructured hexahedral volume meshes are of particular interest for visualization and simulation applications. They allow regular tiling of the three-dimensional space and show good numerical behaviour in finite element computations. Beside such appealing properties, volume meshes take huge amount of space when stored in a raw format. In this paper we present a technique for encoding connectiv...

This paper describes an automatic and robust approach to convert 3D CAD assembly models into unstructured hexahedral meshes that are conformal to the given B-Reps (boundary-representations) with sharp feature preservation. In previous works, we developed an octree-based isocontouring method to construct unstructured hexahedral meshes for manifold and non-manifold domains. However, sharp feature...

Overlap Level of Regular Dual graph (no. elements) coarse grid coarsening coarsening 0 None 56 56 0 4 21 22 0 3 15 12 1 None 16 16 1 4 10 10 1 3 7 7 2 None 14 14 2 4 8 8 2 3 5 5 Table 2 Multigrid iterations for the Airfoil mesh Regular coarsening Dual graph coarsening MG Levels Nodes Dir. B. Overlapping schwarz methods on unstructured meshes using non-matching coarse grids. Domain decomposition...

In simulating biofluid flow domains, structured hexahedral meshes are often associated with high quality solutions. However, extensive time and effort are required to generate these meshes for complex branching geometries. This study evaluates potential mesh configurations that may maintain the advantages of the structured hexahedral style while providing significant savings in grid constructio...