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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].

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

Software:

UG