A parallel software-platform for solving problems of partial differential equations using unstructured grids and adaptive multigrid methods. (English) Zbl 0928.65120
Krause, Egon (ed.) et al., High performance computing in science and engineering ’98. Transactions of the High Performance Computing Center Stuttgart (HLRS) 1998. 1st workshop, Stuttgart, Germany, June 22–24, 1998. Berlin: Springer. 326-339 (1999).
Summary: The goal of this work is the development of a parallel software-platform for solving partial differential equation problems. State-of-the-art numerical methods have been developed and implemented for the efficient and comfortable solution of real-world application problems. Emphasis is laid on the following topics: distributed unstructured grids, adaptive grid refinement derefinement/coarsening, robust parallel multigrid methods, various finite element and finite volume discretizations, dynamic load balancing, mapping and grid partitioning. Some important application examples will be presented including structural mechanics, two-phase flow in porous media, Navier-Stokes problems and density-driven groundwater flow.
For the entire collection see [Zbl 0908.00025].
For the entire collection see [Zbl 0908.00025].
MSC:
65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
65M55 | Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs |
65M50 | Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs |
35Q30 | Navier-Stokes equations |
65Y05 | Parallel numerical computation |
65Y15 | Packaged methods for numerical algorithms |
76D05 | Navier-Stokes equations for incompressible viscous fluids |
76M12 | Finite volume methods applied to problems in fluid mechanics |
76M10 | Finite element methods applied to problems in fluid mechanics |
76S05 | Flows in porous media; filtration; seepage |