Improvement of hierarchical matrices for 3D elastodynamic problems with a complex wavenumber
From MaRDI portal
Publication:2124742
DOI10.1007/s10444-021-09921-3OpenAlexW4213174120MaRDI QIDQ2124742
Laura Bagur, Stéphanie Chaillat, Patrick~jun. Ciarlet
Publication date: 11 April 2022
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-021-09921-3
Software, source code, etc. for problems pertaining to partial differential equations (35-04) Numerical analysis (65-XX) Software, source code, etc. for problems pertaining to integral equations (45-04)
Cites Work
- Unnamed Item
- Fast directional multilevel summation for oscillatory kernels based on Chebyshev interpolation
- Approximation of integral operators by Green quadrature and nested cross approximation
- Data-sparse approximation of non-local operators by \(\mathcal H^2\)-matrices
- A low frequency elastodynamic fast multipole boundary element method in three dimensions
- Hierarchical matrices. A means to efficiently solve elliptic boundary value problems
- Rapid solution of integral equations of classical potential theory
- Convolution quadrature and discretized operational calculus. I
- On the fast matrix multiplication in the boundary element method by panel clustering
- Convolution quadrature and discretized operational calculus. II
- A sparse matrix arithmetic based on \({\mathfrak H}\)-matrices. I: Introduction to \({\mathfrak H}\)-matrices
- A new visco- and elastodynamic time domain boundary element formulation
- Adaptive low-rank approximation of collocation matrices
- Introduction to hierarchical matrices with applications.
- Variable order panel clustering
- Theory and implementation of \(\mathcal{H}\)-matrix based iterative and direct solvers for Helmholtz and elastodynamic oscillatory kernels
- Recent advances on the fast multipole accelerated boundary element method for 3D time-harmonic elastodynamics
- The fast multipole method: Numerical implementation
- Fast large-scale boundary element algorithms
- Wideband nested cross approximation for Helmholtz problems
- Application of the multi-level time-harmonic fast multipole BEM to 3-D visco-elastodynamics
- Generalized convolution quadrature with variable time stepping
- Hierarchical Matrices: Algorithms and Analysis
- Directional ‐matrix compression for high‐frequency problems
- Hybrid Matrix Compression for High-Frequency Problems
- Hierarchical matrix techniques for low- and high-frequency Helmholtz problems
- A fast algorithm for particle simulations
- Application of 3D time domain boundary element formulation to wave propagation in poroelastic solids