2016
DOI: 10.1007/978-3-319-40361-8_7
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Solving Contact Mechanics Problems with PERMON

Abstract: 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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Cited by 10 publications
(8 citation statements)
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“…The PERMON [18] software package is an MPI-parallel implementation of the FETI method focusing on engineering applications and will be used as a target application throughout this section.…”
Section: Feti Methods and Their Implementationsmentioning
confidence: 99%
“…The PERMON [18] software package is an MPI-parallel implementation of the FETI method focusing on engineering applications and will be used as a target application throughout this section.…”
Section: Feti Methods and Their Implementationsmentioning
confidence: 99%
“…The quadratic program is solved in parallel by the PermonQP library (Hapla et al, 2016;Kružík et al, 2020;Hapla et al, 2021), which uses the PETSc library (Balay et al, 1997(Balay et al, , 2019. The fluxes, f j1j2 , are then used to conservatively transfer effective area and tracer quantities between destination polygons, removing excess effective area.…”
Section: Optimization-based Flux Correction To Remappingmentioning
confidence: 99%
“…The software package PERMON [18] solves quadratic programming problems with the help of FETI methods [15] for domain decomposition. PERMON extends PETSc [3] and is used mainly for simulating mechanical structure, for example linear elasticity, elasto-plasticity and shape optimization.…”
Section: Permonmentioning
confidence: 99%