Found 39 Documents (Results 1–39)
Exponentially convergent multiscale methods for 2D high frequency heterogeneous Helmholtz equations. (English) Zbl 1518.65127
Multigrid-augmented deep learning preconditioners for the Helmholtz equation. (English) Zbl 07704368
KKT preconditioners for PDE-constrained optimization with the Helmholtz equation. (English) Zbl 1518.65130
Iterative solution with shifted Laplace preconditioner for plane wave enriched isogeometric analysis and finite element discretization for high-frequency acoustics. (English) Zbl 1507.74534
KKT preconditioners for PDE-constrained optimization with the Helmholtz equation. (English) Zbl 1477.65179
Contraction operator transformation for the complex heterogeneous Helmholtz equation. (English) Zbl 1524.35173
An optimal 13-point finite difference scheme for a 2D Helmholtz equation with a perfectly matched layer boundary condition. (English) Zbl 1458.65133
L-sweeps: a scalable, parallel preconditioner for the high-frequency Helmholtz equation. (English) Zbl 07506624
Domain decomposition with local impedance conditions for the Helmholtz equation with absorption. (English) Zbl 1465.65162
Iterative solution of Helmholtz problem with high-order isogeometric analysis and finite element method at mid-range frequencies. (English) Zbl 1436.78007
An iterative domain decomposition, spectral finite element method on non-conforming meshes suitable for high frequency Helmholtz problems. (English) Zbl 07581567
An efficient high-order multiscale finite element method for frequency-domain elastic wave modeling. (English) Zbl 1425.74234
A class of iterative solvers for the Helmholtz equation: factorizations, sweeping preconditioners, source transfer, single layer potentials, polarized traces, and optimized Schwarz methods. (English) Zbl 1417.65216
Reviewer: Marius Ghergu (Dublin)
Improved sweeping preconditioners for domain decomposition algorithms applied to time-harmonic Helmholtz and Maxwell problems. (English) Zbl 07007340
A preconditioned finite element solution of the coupled pressure-temperature equations used to model trace gas sensors. (English) Zbl 1401.35040
The influence of domain truncation on the performance of optimized Schwarz methods. (English) Zbl 1404.65303
Parallel accelerated cyclic reduction preconditioner for three-dimensional elliptic PDEs with variable coefficients. (English) Zbl 1460.65028
Nested domain decomposition with polarized traces for the 2D Helmholtz equation. (English) Zbl 1394.65136
Reviewer: Wilhelm Heinrichs (Essen)
Sparsify and sweep: an efficient preconditioner for the Lippmann-Schwinger equation. (English) Zbl 1392.65035
An improved sweeping domain decomposition preconditioner for the Helmholtz equation. (English) Zbl 1367.65188
A geometric multigrid preconditioner for the solution of the Helmholtz equation in three-dimensional heterogeneous media on massively parallel computers. (English) Zbl 1364.86008
Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 141-155 (2017).
The multilevel Krylov-multigrid method for the Helmholtz equation preconditioned by the shifted Laplacian. (English) Zbl 1366.65112
Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 113-139 (2017).
How to choose the shift in the shifted Laplace preconditioner for the Helmholtz equation combined with deflation. (English) Zbl 1366.65094
Lahaye, Domenico (ed.) et al., Modern solvers for Helmholtz problems. Basel: Birkhäuser/Springer (ISBN 978-3-319-28831-4/hbk; 978-3-319-28832-1/ebook). Geosystems Mathematics, 85-112 (2017).
A dispersion minimizing scheme for the 3-D Helmholtz equation based on ray theory. (English) Zbl 1349.65571
Recursive sweeping preconditioner for the three-dimensional Helmholtz equation. (English) Zbl 1376.65035
Augmented AMG-shifted Laplacian preconditioners for indefinite Helmholtz problems. (English) Zbl 1374.65039
Equation-based interpolation and incremental unknowns for solving the three-dimensional Helmholtz equation. (English) Zbl 1410.65418
Double sweep preconditioner for optimized Schwarz methods applied to the Helmholtz problem. (English) Zbl 1296.65169
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