Hybrid Matrix Compression for High-Frequency Problems
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Publication:5146628
DOI10.1137/19M124280XzbMath1459.35092arXiv1809.04384MaRDI QIDQ5146628
Publication date: 26 January 2021
Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.04384
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for low-rank matrix approximation; matrix compression (65F55)
Related Items (7)
Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber ⋮ Frequency Extraction for BEM Matrices Arising From the 3D Scalar Helmholtz Equation ⋮ Directional $\mathcal{H}^2$ Compression Algorithm: Optimisations and Application to a Discontinuous Galerkin BEM for the Helmholtz Equation ⋮ High-order, Dispersionless “Fast-Hybrid” Wave Equation Solver. Part I: O(1) Sampling Cost via Incident-Field Windowing and Recentering ⋮ Complexity analysis of a fast directional matrix-vector multiplication ⋮ Adaptive directional compression of high-frequency Helmholtz boundary element matrices ⋮ Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation
Uses Software
Cites Work
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