Abstract. The FETI methods blend iterative and direct solvers. The dual problem is solved iteratively using e.g. CG method; in each iteration, the auxiliary problems related to the application of an unassembled system matrix (subdomain problems' solutions and projector application in dual operator) are solved directly. The paper deals with the comparison of the direct solvers available in PETSc on the Cray XE6 machine HECToR (PETSc, MUMPS, SuperLU) regarding their performance in the two most time consuming actions in TFETI -the pseudoinverse application and the coarse problem solution. For the numerical experiments, our novel TFETI implementation in FLLOP (FETI Light Layer on top of PETSc) library was used.
175322 -Salvus for next-generation full-waveform ultrasonic imaging solutions (SNF) 823844 -Centre of Excellence for Exascale in Solid Earth (EC) 608881 -ETH Zurich Postdoctoral Fellowship Program II (EC) This page was generated automatically upon download from the ETH Zurich Research Collection. For more information, please consult the Terms of use.
Abstract. PERMON makes use of theoretical results in quadratic programming algorithms and domain decomposition methods. It is built on top of the PETSc framework for numerical computations. This paper describes its fundamental packages and shows their applications. We focus here on contact problems of mechanics decomposed by means of a FETI-type nonoverlapping domain decomposition method. These problems lead to inequality constrained quadratic programming problems that can be solved by our PermonQP package.
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