Parallel finite element solver for multi-core computers with shared memory

DOI10.1016/j.camwa.2021.04.013OpenAlexW3160347560MaRDI QIDQ2027595

Sergiy Fialko

Publication date: 27 May 2021

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2021.04.013

zbMATH Keywords

finite element methodsymmetric sparse matricesblock Cholesky factorizationfinite element adjacency graphmulti-core computerssupernodal elimination tree

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Symbolic computation and algebraic computation (68W30) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical algorithms for specific classes of architectures (65Y10)

Uses Software

• MUMPS
• METIS
• UHM
• SCAD

Cites Work

• PARFES: A method for solving finite element linear equations on multi-core computers
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• New parallel sparse direct solvers for multicore architectures
• Parallel direct solver for solving systems of linear equations resulting from finite element method on multi-core desktops and workstations
• On Computing Inverse Entries of a Sparse Matrix in an Out-of-Core Environment
• The Evolution of the Minimum Degree Ordering Algorithm
• A Parallel Sparse Direct Solver via Hierarchical DAG Scheduling
• Two-level dynamic scheduling in PARDISO: Improved scalability on shared memory multiprocessing systems

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