2014/02/03 by Alexander Bihlo, Bihlo, Alexander, Ronald D. Haynes +1
Computer Science · #Computational Geometry and Mesh Generation #FOS: Mathematics #Numerical Analysis (math.NA)
paper · pdf · doi:10.48550/arxiv.1402.0266
openalex publication_date 2014/02/03 · openalex created_date 2022/10/06 · openalex updated_date 2026/07/28
We use a time-relaxed linear grid generator of Winslow type to propose a new deterministic-stochastic domain decomposition approach to the generation of adaptive moving meshes. The method uses the probabilistic form of the exact solution of the linear mesh generator to provide the sub-domain interface values that serve as boundary conditions for the domain decomposition. The meshes over the single sub-domains can then be obtained independently of each other in an entirely parallel fashion. We demonstrate numerically the capability of the method to yield smooth, time-evolving meshes.