FLLOP
swMATH ID:  29047 
Software Authors:  Markopoulos, Alexandros; Hapla, Vaclav; Cermak, Martin; Fusek, Martin 
Description:  Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages. In this paper we are presenting our PermonCube and FLLOP packages, and their use for massively parallel solution of elastoplasticity problems. PermonCube provides simple cubical meshes, partitioned in a nonoverlapping manner. By means of finite element method it assembles all linear algebra objects required for solution of the physical problem. Two chosen nonlinear material models are presented, and a solving strategy based on the Newton’s method is briefly discussed. PermonCube uses our FLLOP library as a linear system solver. FLLOP is able to solve problems decomposed in a nonoverlapping manner using domain decomposition methods of the FETI type. It extends PETSc (Portable, Extensible Toolkit for Scientific Computation). In the last section, largescale numerical experiments with problem size up to 60 million of degrees of freedom are presented. 
Homepage:  https://www.sciencedirect.com/science/article/abs/pii/S0096300314017585 
Keywords:  TFETI; elastoplasticity; parallel mesh; Permon; PermonCube; FLLOP 
Related Software:  PermonQP; PermonFLLOP; PermonCube; Total FETI; PETSc; TFETI; HYPLAS; Pamgen; Elmer; PERMON; MOOSE; NGSolve; ViennaGrid; ViennaMesh; libMesh; Agros2D; ViennaCL; FEniCS; deal.ii; FreeFem++ 
Referenced in:  3 Publications 
Standard Articles
1 Publication describing the Software, including 1 Publication in zbMATH  Year 

Massively parallel solution of elastoplasticity problems with tens of millions of unknowns using permoncube and FLLOP packages. Zbl 1410.74010 Markopoulos, Alexandros; Hapla, Vaclav; Cermak, Martin; Fusek, Martin 
2015

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Referenced by 9 Authors
3  Čermák, Martin 
3  Hapla, Vaclav 
2  Markopoulos, Alexandros 
2  Vasatova, Alena 
1  Fusek, Martin 
1  Horák, David 
1  Kružík, Jakub 
1  Pospíšil, Lukáš 
1  Sojka, Radim 
Referenced in 2 Serials
1  Computers & Mathematics with Applications 
1  Applied Mathematics and Computation 
Referenced in 3 Fields
3  Mechanics of deformable solids (74XX) 
2  Numerical analysis (65XX) 
1  Operations research, mathematical programming (90XX) 