Application of Parallel Computing Techniques for Problems of Degenerated Diffusion

Milan Šenkýř (), Jiří Mikyška () and Michal Beneš ()
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Milan Šenkýř: Czech Technical University, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering
Jiří Mikyška: Czech Technical University, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering
Michal Beneš: Czech Technical University, Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering

A chapter in Numerical Mathematics and Advanced Applications, 2004, pp 756-765 from Springer

Abstract: Summary In this contribution, we discuss parallelization of the problem of curve dynamics in plane. Related PDEs are based on the levelset method introduced in [5], and on the phase-field method described in [1]. Numerical schemes use a finite-difference discretization in space and explicit time solvers. Parallel algorithms are designed for systems with distributed memory, and are based on the domain splitting. The achieved results indicate strength and efficiency of the described approach in case of such highly nonlinear problems.

Keywords: Total Node; Process Process; Parallel Computing Technique; Domain Splitting; Closed Planar Curf (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18775-9_74

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DOI: 10.1007/978-3-642-18775-9_74

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