Stochastic Domain Decomposition for Time Dependent Adaptive Mesh Generation

Parallel Dynamic Mesh Generation and Domain Decomposition

The mapping of computations to parallel machines can be realized at the various data structures associated with the computations. In the case of PDE (Partial Differential Equations) based applications, we decided to fonnulate this problem at the discrete data structures of the underlying computation [Chri 91]. In this paper, we fonnulate and implement parallel mapping algorithms on distributed ...

Domain Decomposition Approaches for Mesh Generation via the Equidistribution Principle

Moving mesh methods based on the equidistribution principle are powerful techniques for the space–time adaptive solution of evolution problems. Solving the resulting coupled system of equations, namely the original PDE and the mesh PDE, however, is challenging in parallel. We propose in this paper several Schwarz domain decomposition algorithms for this task. We then study in detail the converg...

MDEC: MeTiS-based Domain Decomposition for Parallel 2D Mesh Generation

Domain decomposition methods are commonly employed within the context of parallel numerical algorithms. Most often, the domain decomposition is performed before the main computation begins. Within the context of mesh generation, parallel mesh generation is desired when the goal is to mesh a very large geometric domain or if very high accuracy is required. In this paper, we propose a novel techn...

Parallel Tetrahedral Mesh Generation Based on A-priori Domain Decomposition

adaptive mesh generation for approximation of traffic flow equations

this paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law equation. the idea behind the new method is to use the characteristic curves and moving non-oscillatory finite volume method. in addition, when characteristic curves intersect, the proposed scheme uses shock speed equation in order to improve computational efficiency. we also compare...