PARFES: A method for solving finite element linear equations on multi-core computers

DOI10.1016/j.advengsoft.2010.09.002zbMath1205.65139OpenAlexW2145257815MaRDI QIDQ614000

S. Yu. Fialko

Publication date: 23 December 2010

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2010.09.002

zbMATH Keywords

algorithmsnumerical examplesfinite element analysishigh performanceparallelizationload balancingmultithreadingblock matricesfactoringsymmetric sparse matrices

Mathematics Subject Classification ID

Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (7)

Computational cost estimates for parallel shared memory isogeometric multi-frontal solvers ⋮ Solving of multi-connected curvilinear boundary value problems by the fast PIES ⋮ Block subspace projection preconditioned conjugate gradient method in modal structural analysis ⋮ Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations ⋮ Element partition trees for \(h\)-refined meshes to optimize direct solver performance. I: Dynamic programming ⋮ Parallel finite element solver for multi-core computers with shared memory ⋮ On parallelization of the loop over elements in FEAP

Uses Software

• BLAS
• MUMPS
• METIS
• CHOLMOD
• MKL
• Oblio

Cites Work

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• Multifrontal parallel distributed symmetric and unsymmetric solvers
• Anatomy of high-performance matrix multiplication
• The Evolution of the Minimum Degree Ordering Algorithm
• A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
• Two-level dynamic scheduling in PARDISO: Improved scalability on shared memory multiprocessing systems

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