论文信息 - Parallel strategies for solving the FETI coarse problem in the PERMON toolbox

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

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.

[1] Alena Vasatová,et al. Solving Contact Mechanics Problems with PERMON , 2015, HPCSE.

[2] Vaclav Hapla,et al. Use of Direct Solvers in TFETI Massively Parallel Implementation , 2012, PARA.

[3] William Gropp,et al. Efficient Management of Parallelism in Object-Oriented Numerical Software Libraries , 1997, SciTools.

[4] Vaclav Hapla,et al. TFETI Coarse Space Projectors Parallelization Strategies , 2011, PPAM.

[5] C. Farhat,et al. A method of finite element tearing and interconnecting and its parallel solution algorithm , 1991 .

[6] Y. Maday,et al. Optimal convergence properties of the FETI domain decomposition method , 2007 .

[7] Alena Vasatová,et al. Parallel Implementation of the FETI DDM Constraint Matrix on Top of PETSc for the PermonFLLOP Package , 2015, PPAM.

[8] Lois Curfman McInnes,et al. TAO users manual. , 2003 .

[9] Z. Dostál,et al. Total FETI—an easier implementable variant of the FETI method for numerical solution of elliptic PDE , 2006 .

[10] J. Haslinger,et al. FETI based algorithms for contact problems: scalability, large displacements and 3D Coulomb friction , 2005 .

[11] P. Gosselet,et al. Non-overlapping domain decomposition methods in structural mechanics , 2006, 1208.4209.