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Parallel strategies for solving the FETI coarse problem in the PERMON toolbox

Vašatová, Alena, Tomčala, Jiří, Sojka, Radim, Pecha, Marek, Kružík, Jakub, Horák, David, Hapla, Václav, Čermák, Martin (2017)

Programs and Algorithms of Numerical Mathematics

PERMON (Parallel, Efficient, Robust, Modular, Object-oriented, Numerical) is a newly emerging collection of software libraries, uniquely combining Quadratic Programming (QP) algorithms and Domain Decomposition Methods (DDM). Among the main applications are contact problems of mechanics. This paper gives an overview of PERMON and selected ingredients improving scalability, demonstrated by numerical experiments.

Pivoting algorithm in class of ABS methods

Gabriela Kálnová (1996)

Archivum Mathematicum

Summary: The paper deals with a pivoting modification of the algorithm in the class of ABS methods. Numerical experiments compare this pivoting modification with the fundamental version. A hybrid algorithm for the solution of the linear system with the Hankel matrix is introduced.

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