A fast direct boundary element method for 3D acoustic problems based on hierarchical matrices
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Publication:6042430
DOI10.1016/j.enganabound.2022.11.035zbMath1521.74335OpenAlexW4311439234MaRDI QIDQ6042430
Ruoyan Li, Yijun J. Liu, Wenjing Ye
Publication date: 10 May 2023
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2022.11.035
Factorization of matrices (15A23) Boundary element methods applied to problems in solid mechanics (74S15) Boundary element methods for initial value and initial-boundary value problems involving PDEs (65M38)
Cites Work
- Finding structure with randomness: Probabilistic algorithms for constructing approximate matrix decompositions
- Hierarchical LU decomposition-based preconditioners for BEM
- A randomized algorithm for the decomposition of matrices
- An adaptive fast direct solver for boundary integral equations in two dimensions
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- The fast multipole boundary element method for potential problems: a tutorial
- A weakly singular form of the hypersingular boundary integral equation applied to 3-D acoustic wave problems
- Rapid solution of integral equations of scattering theory in two dimensions
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- Diagonal forms of translation operators for the Helmholtz equation in three dimensions
- Approximation of boundary element matrices
- Is the Burton-Miller formulation really free of fictitious eigenfrequencies?
- A new fast direct solver for the boundary element method
- An adaptive model order reduction method for boundary element-based multi-frequency acoustic wave problems
- Fast direct isogeometric boundary element method for 3D potential problems based on HODLR matrix
- On the BEM for acoustic wave problems
- The fast solution of boundary integral equations.
- An \(\mathcal O(N\log N)\) fast direct solver for partial hierarchically semi-separable matrices. With application to radial basis function interpolation
- Randomized algorithms for the low-rank approximation of matrices
- Hierarchical Adaptive Cross Approximation GMRES Technique for Solution of Acoustic Problems Using the Boundary Element Method
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions
- Inverse Obstacle Scattering in Two Dimensions with Multiple Frequency Data and Multiple Angles of Incidence
- The application of integral equation methods to the numerical solution of some exterior boundary-value problems
- Adjustment of an Inverse Matrix Corresponding to a Change in One Element of a Given Matrix
- Randomized numerical linear algebra: Foundations and algorithms
