Fast evaluation of singular BEM integrals based on tensor approximations
From MaRDI portal
Publication:443849
DOI10.1007/s00211-011-0436-6zbMath1261.65026OpenAlexW2041973919MaRDI QIDQ443849
Publication date: 13 August 2012
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00211-011-0436-6
Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Multilinear algebra, tensor calculus (15A69) Boundary element methods for boundary value problems involving PDEs (65N38)
Related Items
A low-rank approach to the computation of path integrals, \(L^{\infty}\) estimation of tensor truncations, Multilevel preconditioning and low-rank tensor iteration for space-time simultaneous discretizations of parabolic PDEs, Black box approximation of tensors in hierarchical Tucker format, Tensor structured evaluation of singular volume integrals, Approximation rates for the hierarchical tensor format in periodic Sobolev spaces, Algorithm 941, Numerical tensor calculus, A literature survey of low-rank tensor approximation techniques
Cites Work
- Tensor Decompositions and Applications
- TT-cross approximation for multidimensional arrays
- Black box low tensor-rank approximation using fiber-crosses
- Differentiability of strongly singular and hypersingular boundary integral formulations with respect to boundary perturbations
- Black box approximation of tensors in hierarchical Tucker format
- Efficient automatic quadrature in 3-D Galerkin BEM
- A new scheme for the tensor representation
- The fast solution of boundary integral equations.
- Hierarchical Singular Value Decomposition of Tensors
- Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions
- Kernel Properties and Representations of Boundary Integral Operators
- On a Class of Winkler‐Type Contact Problems
