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Seminar - Recent advances in large scale finite element solvers, by Santiago Badia

Wednesday, November 9th, 2016. Time: 12 p.m.

Place: O.C. Zienkiewicz Conference Room, C1 Building, UPC Campus Nord, Barcelona.

ABSTRACT

In this talk, the speaker will talk about recent advances in the development of extremely scalable solvers for linear systems arising from finite element discretizations.
He will present the overlapped and recursive implementations of multilevel domain decomposition techniques, which have been able to scale up to almost 2 million MPI tasks and half a million processors on the JUQUEEN supercomputer, solving problems with tens of billions of unknowns. Recent developments include the extension of these solver to heterogeneous problems with very large jumps of physical coefficients. In particular, his research team has defined preconditioners that are both scalable and independent of physical coefficient jumps. This techniques have also been extended to end up with robust solvers for embedded boundary methods, in which the linear solver is robust with respect to the element cuts. In order to efficiently deal with transient problems, and motivated by the future exascale supercomputers, we will comment on the extension of our framework to space-time linear solvers. All the developments presented in this talk have been implemented in the software project FEMPAR.

SPEAKER CV

Prof. Santiago Badia is Professor of Continuum Mechanics at UPC and the leader of the Large Scale Scientific Computing Group at CIMNE. His research focuses on the development, mathematical analysis, and application of numerical methods in engineering and sciences, and high performance scientific computing.

Further information about the speaker