A scalable multigrid method for solving indefinite Helmholtz equations with constant wave numbers

Ira Livshits

doi:10.1002/nla.1926

A scalable multigrid method for solving indefinite Helmholtz equations with constant wave numbers

Numerical Linear Algebra with Applications ◽

10.1002/nla.1926 ◽

2014 ◽

Vol 21 (2) ◽

pp. 177-193 ◽

Cited By ~ 8

Author(s):

Ira Livshits

Keyword(s):

Multigrid Method ◽

Helmholtz Equations ◽

Wave Numbers

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A multigrid method with reduced phase error for 2D damped Helmholtz equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7155 ◽

2021 ◽

Author(s):

Mostak Ahmed ◽

Chengjian Zhang

Keyword(s):

Multigrid Method ◽

Phase Error ◽

Helmholtz Equations

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Dirac assisted tree method for 1D heterogeneous Helmholtz equations with arbitrary variable wave numbers

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.015 ◽

2021 ◽

Vol 97 ◽

pp. 416-438

Author(s):

Bin Han ◽

Michelle Michelle ◽

Yau Shu Wong

Keyword(s):

Helmholtz Equations ◽

Wave Numbers ◽

Tree Method

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Implementation of the multigrid method for solving the boundary-value problems for the Poisson and Helmholtz equations on the massively parallel computers

Lecture Notes in Computer Science - Parallel Computing Technologies ◽

10.1007/3-540-60222-4_130 ◽

1995 ◽

pp. 427-433

Author(s):

I. G. Mamedova

Keyword(s):

Boundary Value Problems ◽

Multigrid Method ◽

Boundary Value ◽

Parallel Computers ◽

Massively Parallel ◽

Helmholtz Equations ◽

Massively Parallel Computers

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Asymptotic analysis of the scattering problem for the Helmholtz equations with high wave numbers

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017048 ◽

2017 ◽

Vol 37 (3) ◽

pp. 1159-1181

Author(s):

Daniel Bouche ◽

◽

Youngjoon Hong ◽

Chang-Yeol Jung ◽

◽

...

Keyword(s):

Asymptotic Analysis ◽

Scattering Problem ◽

Helmholtz Equations ◽

High Wave ◽

Wave Numbers

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A Multigrid Method Enhanced by Krylov Subspace Iteration for Discrete Helmholtz Equations

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501357190 ◽

2001 ◽

Vol 23 (4) ◽

pp. 1291-1315 ◽

Cited By ~ 135

Author(s):

Howard C. Elman ◽

Oliver G. Ernst ◽

Dianne P. O'Leary

Keyword(s):

Multigrid Method ◽

Krylov Subspace ◽

Helmholtz Equations ◽

Subspace Iteration

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Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

Journal of Computational Mathematics ◽

10.4208/jcm.1604-m2015-0290 ◽

2016 ◽

Vol 34 (5) ◽

pp. 499-510 ◽

Cited By ~ 2

Author(s):

Xiaolu Su ◽

Xiufang Feng ◽

Zhilin Li

Keyword(s):

Fourth Order ◽

Polar Coordinates ◽

Compact Schemes ◽

Helmholtz Equations ◽

Wave Numbers

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Novel Multilevel Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations with Large Wave Numbers

SIAM Journal on Scientific Computing ◽

10.1137/15m1022963 ◽

2017 ◽

Vol 39 (4) ◽

pp. A1675-A1709 ◽

Cited By ~ 1

Author(s):

Qiya Hu ◽

Xuan Li

Keyword(s):

Plane Wave ◽

Helmholtz Equations ◽

Large Wave ◽

Multilevel Preconditioners ◽

Wave Numbers

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Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers

International Journal of Computer Mathematics ◽

10.1080/00207160.2019.1616177 ◽

2019 ◽

Vol 97 (4) ◽

pp. 920-941

Author(s):

Long Yuan ◽

Qiya Hu

Keyword(s):

Plane Wave ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Helmholtz Equations ◽

Wave Numbers

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A Novel Least Squares Method for Helmholtz Equations with Large Wave Numbers

SIAM Journal on Numerical Analysis ◽

10.1137/19m1294101 ◽

2020 ◽

Vol 58 (5) ◽

pp. 3091-3123

Author(s):

Qiya Hu ◽

Rongrong Song

Keyword(s):

Least Squares ◽

Least Squares Method ◽

Helmholtz Equations ◽

Large Wave ◽

Wave Numbers

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A generalized plane wave discontinuous Galerkin method for three-dimensional anisotropic Helmholtz equations with variable wave numbers

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107595 ◽

2021 ◽

pp. 107595

Author(s):

Long Yuan

Keyword(s):

Plane Wave ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Three Dimensional ◽

Helmholtz Equations ◽

Wave Numbers

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