Parallel Computations for Solving 3D Helmholtz Problem by Using Direct Solver with Low-Rank Approximation and HSS Technique

DOI10.1007/978-3-319-57099-0_37zbMath1368.65209OpenAlexW2606068632MaRDI QIDQ5274968

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Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_37

zbMATH Keywords

algorithmfinite differencesboundary value problemHelmholtz equationnumerical experimentparallelizationparallel computationslow-rank approximationHSS format

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Finite difference methods for boundary value problems involving PDEs (65N06)

Uses Software

• LAPACK
• BLAS

Cites Work

• An efficient truncated SVD of large matrices based on the low-rank approximation for inverse geophysical problems
• On the Numerical Rank of the Off-Diagonal Blocks of Schur Complements of Discretized Elliptic PDEs
• Nested Dissection of a Regular Finite Element Mesh

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