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Task-based parallelization of an implicit kinetic scheme. (English) Zbl 1408.35143
Summary: In this paper, we present and implement the palindromic discontinuous Galerkin (PDG) method in dimensions higher than one. The method has already been exposed and tested in [the third author et al., in: Finite volumes for complex applications VIII – hyperbolic, elliptic and parabolic problems. Cham: Springer. 171–178 (2017; Zbl 1365.76251)] in the one-dimensional context. The PDG method is a general implicit high order method for approximating systems of conservation laws. It relies on a kinetic interpretation of the conservation laws containing stiff relaxation terms. The kinetic system is approximated with an asymptotic-preserving high order DG method. We describe the parallel implementation of the method, based on the StarPU runtime library. Then, we apply it on preliminary test cases.
35Q35 PDEs in connection with fluid mechanics
65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs
65Y10 Numerical algorithms for specific classes of architectures
Gmsh; KLU; StarPU
Full Text: DOI
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