论文信息 - Performance Analysis of Iterative Solvers of Linear Equations for Hp-adaptive Finite Element Method

Performance Analysis of Iterative Solvers of Linear Equations for Hp-adaptive Finite Element Method

Abstract The paper presents performance considerations for Krylov space iterative solvers used in hp-adaptive finite element codes. The design of optimal data structures and algorithms in terms of memory requirements and computing efficiency is shown. Preliminary computational results prove the correctness of basic assumptions and indicate the direction of further research.

Krzysztof Banas | Przemyslaw Plaszewski | K. Banas | P. Plaszewski

[1] Maciej Paszyński,et al. Architecture of iterative solvers for hp-adaptive finite element codes , 2013 .

[2] Andreas Dedner,et al. A generic interface for parallel and adaptive discretization schemes: abstraction principles and the Dune-Fem module , 2010, Computing.

[3] Carlos Torres-Verdín,et al. A parallel direct solver for the self-adaptive hp Finite Element Method , 2010, J. Parallel Distributed Comput..

[4] Mary F. Wheeler,et al. Preconditioning GMRES for discontinuous Galerkin approximations , 2004 .

[5] Krzysztof Banas,et al. Scalability Analysis for a Multigrid Linear Equations Solver , 2007, PPAM.

[6] L. Demkowicz. One and two dimensional elliptic and Maxwell problems , 2006 .

[7] David Pardo,et al. Out-of-core multi-frontal solver for multi-physics hp adaptive problems , 2011, ICCS.