Efficient use of sparsity by direct solvers applied to 3D controlled-source EM problems
DOI10.1007/s10596-019-09883-yzbMath1427.65033OpenAlexW2973128606MaRDI QIDQ2009864
Daniil V. Shantsev, Sébastien de la Kethulle de Ryhove, Gilles Moreau, Jean-Yves L'Excellent, Patrick R. Amestoy
Publication date: 2 December 2019
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://hal.inria.fr/hal-01912713/file/RR-9220.pdf
direct solvernumerical modelingcontrolled-source electromagnetics (CSEM)marine electromagneticsmultiple sparse right-hand sides
Computational methods for sparse matrices (65F50) Factorization of matrices (15A23) Inverse problems in geophysics (86A22) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05) Potentials, prospecting (86A20)
Uses Software
Cites Work
- A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
- Direct Methods for Sparse Matrices
- Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
- The Multifrontal Solution of Indefinite Sparse Symmetric Linear
- A Mapping Algorithm for Parallel Sparse Cholesky Factorization
- Predicting Structure in Sparse Matrix Computations
- ScaLAPACK Users' Guide
- A set of level 3 basic linear algebra subprograms
- On Exploiting Sparsity of Multiple Right-Hand Sides in Sparse Direct Solvers
- A Minimal Residual Interpolation Method for Linear Equations with Multiple Right-Hand Sides
- Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures
- Parallel Computation of Entries of ${A}^{-1}$
- Elimination Structures for Unsymmetric Sparse $LU$ Factors
- On the Complexity of the Block Low-Rank Multifrontal Factorization
- Nested Dissection of a Regular Finite Element Mesh
