Distributed solution of the Helmholtz transmission problems via relaxed local multi-trace formulation and adaptive cross approximation
DOI10.1016/j.cam.2021.113644zbMath1478.65138OpenAlexW3162381581MaRDI QIDQ2043165
Jan Zapletal, Michal Kravčenko, Michal Merta
Publication date: 29 July 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113644
boundary element methodparallelizationadaptive cross approximationHelmholtz transmission problemslocal multi-trace formulation
Boundary value problems for second-order elliptic equations (35J25) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38) Preconditioners for iterative methods (65F08)
Cites Work
- Unnamed Item
- Rapid solution of integral equations of classical potential theory
- On the fast matrix multiplication in the boundary element method by panel clustering
- Adaptive low-rank approximation of collocation matrices
- Approximation of boundary element matrices
- Distributed fast boundary element methods for Helmholtz problems
- The fast solution of boundary integral equations.
- Multi-Trace Boundary Integral Formulation for Acoustic Scattering by Composite Structures
- Fast Multipole Methods and Applications
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- A Fast and High Quality Multilevel Scheme for Partitioning Irregular Graphs
- Compression Techniques for Boundary Integral Equations---Asymptotically Optimal Complexity Estimates
- Boundary Element Methods