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2012•Unpublished venueRequires access

Combining the LEAP preconditioner with FETI-DP

Georgios N. Paraschos, Marinos N. Vouvakis

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Abstract

The newly introduced Locally Exact Algebraic Preconditioner (LEAP) is combined with the well established FETI-DP method to provide robust and scalable iterative convergence. This is achieved by adopting a single-level version of LEAP, sufficient to deduce scalable results due to treatment of domain-edges by FETI-DP. It is experimentally shown that the LEAP can significantly improve the order of convergence of FETI-DP to make it more efficient and robust.

About this research paper

What this paper is about

The newly introduced Locally Exact Algebraic Preconditioner (LEAP) is combined with the well established FETI-DP method to provide robust and scalable iterative convergence. This is achieved by adopting a single-level version of LEAP, sufficient to deduce scalable results due to treatment of domain-edges by FETI-DP. It is experimentally shown that the LEAP can significantly improve the order of convergence of FETI-DP to make it more efficient and robust.

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Available abstract

The newly introduced Locally Exact Algebraic Preconditioner (LEAP) is combined with the well established FETI-DP method to provide robust and scalable iterative convergence. This is achieved by adopting a single-level version of LEAP, sufficient to deduce scalable results due to treatment of domain-edges by FETI-DP. It is experimentally shown that the LEAP can significantly improve the order of convergence of FETI-DP to make it more efficient and robust.

Key concepts: Preconditioner, FETI, Scalability, Computer science, Convergence (economics), Domain (mathematical analysis), Domain decomposition methods, Computational science

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