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pro vyhledávání: '"Dwarka, Vandana"'
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level Schwarz domain decomposition preconditioners are enhanced by coarse sp
Externí odkaz:
http://arxiv.org/abs/2408.03571
One of the most well-established codes for modeling non-linear Magnetohydrodynamics (MHD) for tokamak reactors is JOREK, which solves these equations with a B\'ezier surface based finite element method. This code produces a highly sparse but also ver
Externí odkaz:
http://arxiv.org/abs/2308.16124
Autor:
Dwarka, Vandana, Vuik, Cornelis
Getting standard multigrid to work efficiently for the high-frequency Helmholtz equation has been an open problem in applied mathematics for years. Much effort has been dedicated to finding solution methods which can use multigrid components to obtai
Externí odkaz:
http://arxiv.org/abs/2308.13476
A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems
We propose a matrix-free parallel two-level-deflation preconditioner combined with the Complex Shifted Laplacian preconditioner(CSLP) for the two-dimensional Helmholtz problems. The Helmholtz equation is widely studied in seismic exploration, antenna
Externí odkaz:
http://arxiv.org/abs/2308.06152
Publikováno v:
Electron. Trans. Numer. Anal., 59 (2023) 270-294
The Helmholtz equation is related to seismic exploration, sonar, antennas, and medical imaging applications. It is one of the most challenging problems to solve in terms of accuracy and convergence due to the scalability issues of the numerical solve
Externí odkaz:
http://arxiv.org/abs/2308.06085
Publikováno v:
In Journal of Computational Physics 1 October 2024 514
Publikováno v:
Brenner, S.C., Chung, E., Klawonn, A., Kwok, F., Xu, J., Zou, J. (Eds.) Domain Decomposition Methods in Science and Engineering XXVI. Lecture Notes in Computational Science and Engineering, Vol. 145. Springer, Cham, pp. 127-135 (2022)
We examine the use of a two-level deflation preconditioner combined with GMRES to locally solve the subdomain systems arising from applying domain decomposition methods to Helmholtz problems. Our results show that the direct solution method can be re
Externí odkaz:
http://arxiv.org/abs/2103.17081
Finding fast yet accurate numerical solutions to the Helmholtz equation remains a challenging task. The pollution error (i.e. the discrepancy between the numerical and analytical wave number k) requires the mesh resolution to be kept fine enough to o
Externí odkaz:
http://arxiv.org/abs/2010.10232
Autor:
Dwarka, Vandana, Vuik, Cornelis
Publikováno v:
In Journal of Computational Physics 15 November 2022 469
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