Parallelized UVWF method for 3D Helmholtz problems (original) (raw)

Parallel solution of the Helmholtz equation in a multilayer domain

Elisabeth Larsson

BIT Numerical Mathematics, 2003

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Femlab As a Front-End for Large-Scale Acoustic Modeling Parallelized Wave Basis Solver for the 3 D Helmholtz Problems

Tomi Huttunen

… Multiphysics Conference 2005 …, 2005

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L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation

Matthias Taus

Journal of Computational Physics, 2020

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Error estimates for the Ultra Weak Variational Formulation of the Helmholtz equation

Tomi Huttunen

ESAIM: Mathematical Modelling and Numerical Analysis, 2008

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On the Computationally Efficient Numerical Solution to the Helmholtz Equation

Angwenyi David

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Parallel resolution of the 3D Helmholtz equation based on multi-graphics processing unit clusters

Gloria Ortega

Concurrency and Computation: Practice and Experience, 2014

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On the Choice of Krylov Methods and Preconditioners for a Domain Decomposed Iterative Solution of the Exterior Helmholtz Problem

Antonini Macedo

1999

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Towards accuracy and scalability: Combining Isogeometric Analysis with deflation to obtain scalable convergence for the Helmholtz equation

Matthias Moller

Computer Methods in Applied Mechanics and Engineering, 2021

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Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations

Thomas Hou

ArXiv, 2021

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Multigrid methods for Helmholtz problems: A convergent scheme in 1D using standard components

Martin Gander

Direct and Inverse Problems in Wave Propagation and Applications

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Nonsymmetric Structured Multifrontal Methods for Sparse Matrices with Application to Solving the Helmholtz Equation

zixing xin

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FETI-H: a scalable domain decomposition method for high frequency exterior Helmholtz problems

Antonini Macedo

1999

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Geometrically unfitted finite element methods for the Helmholtz equation

Luke Swift

2018

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Robustness and dispersion analysis of the Partition of Unity Finite Element Method applied to the Helmholtz equation

Luis Hervella Nieto

Computers & Mathematics with Applications, 2020

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Preconditionning Techniques for the Solution of the Helmholtz Equation by the Finite Element Method

Yousef Saad

Lecture Notes in Computer Science, 2003

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A comparison of two Trefftz-type methods: the ultraweak variational formulation and the least-squares method, for solving shortwave 2-D Helmholtz problems

Jeremy Astley

International Journal for Numerical Methods in Engineering, 2007

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A domain decomposition method for the Helmholtz equation in a multilayer domain

Elisabeth Larsson

SIAM Journal on Scientific Computing, 1999

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Why it is Difficult to Solve Helmholtz Problems with Classical Iterative Methods

Martin Gander

Lecture Notes in Computational Science and Engineering, 2011

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A Multiscale Hybrid-Mixed Method for the Helmholtz Equation in Heterogeneous Domains

Frederic Valentin

SIAM Journal on Numerical Analysis

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Comparison of several methods for the solution of the Helmholtz equation

Zbynek Sokol

Studia Geophysica et Geodætica, 1995

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A nearly optimal Galerkin projected residual finite element method for Helmholtz problem

Gustavo Benitez Alvarez

Computer Methods in Applied Mechanics and Engineering, 2008

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A Non-Overlapping Domain Decomposition Method for the Exterior Helmholtz Problem

Frédéric Magoulès, Charbel Farhat

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A Multigrid Method for the Helmholtz Equation with Optimized Coarse Grid Corrections

Walace Vital

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Fast Multipole Accelerated Boundary Element Methods for the 3D Helmholtz Equation

Ramani Duraiswami

2008

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A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers

Omar Laghrouche

Journal of Computational and Applied Mathematics, 2010

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The hp-version of the boundary element method for Helmholtz screen problems

Matthias Maischak

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A Domain Decomposition Solver for the Discontinuous Enrichment Method for the Helmholtz Equation

Charbel Farhat

Lecture notes in computational science and engineering, 2013

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An Optimal Algorithm for the Solution of the Helmholtz Equation

ISAAC CHUKLE

Journal of Advances in Mathematics and Computer Science, 2020

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The Iterative Solver RISOLV with Application to the Exterior Helmholtz Problem

Hillel Tal-Ezer

SIAM Journal on Scientific Computing, 2010

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Restricted overlapping balancing domain decomposition methods and restricted coarse problems for the Helmholtz problem

Jung-han Kimn

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Parallel Solution Methods For Large-Scale Acoustic Scattering Problems

Jari Toivanen

2001

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Solving Interface Problems of the Helmholtz Equation by Immersed Finite Element Methods

Yanping Lin

Communications on Applied Mathematics and Computation, 2019

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