Substructuring Preconditioners for the Systems Arising from Plane Wave Discretization of Helmholtz Equations
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Publication:5739803
DOI10.1137/151003040zbMath1342.65219OpenAlexW2504776022MaRDI QIDQ5739803
Publication date: 20 July 2016
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/151003040
Helmholtz equationnonoverlapping domain decompositionparallel preconditioneriteration countslarge wave numberplane wave discretization
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items
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Cites Work
- A rapidly converging domain decomposition method for the Helmholtz equation
- An algebraic theory for primal and dual substructuring methods by constraints
- The Fourier version of the variational theory of complex rays for medium-frequency acoustics
- Solving Maxwell's equations using the ultra weak variational formulation
- On the use of inexact subdomain solvers for BDDC algorithms
- BDDC and FETI-DP without matrices or vectors
- Overlapping Schwarz methods for Maxwell's equations in three dimensions
- Acceleration of the non-symmetrized two-level iteration
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- Computational aspects of the ultra-weak variational formulation
- Plane wave approximation of homogeneous Helmholtz solutions
- A least-squares method for the Helmholtz equation
- A two-level domain decomposition method for the iterative solution of high frequency exterior Helmholtz problems
- BDDC methods for discontinuous Galerkin discretization of elliptic problems
- Stability estimates for a class of Helmholtz problems
- A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain
- Isogeometric BDDC Preconditioners with Deluxe Scaling
- An Iterative Substructuring Algorithm for Two-Dimensional Problems in H(curl)
- Overlapping Schwarz Methods for Isogeometric Analysis
- A Plane-Wave Least-Squares Method for Time-Harmonic Maxwell's Equations in Absorbing Media
- Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the p-Version
- Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers
- Nonoverlapping domain decomposition methods with a simple coarse space for elliptic problems
- A domain decomposition method for discontinuous Galerkin discretizations of Helmholtz problems with plane waves and Lagrange multipliers
- Three-dimensional discontinuous Galerkin elements with plane waves and Lagrange multipliers for the solution of mid-frequency Helmholtz problems
- A Three-Level BDDC Algorithm for Mortar Discretizations
- A comparison of two Trefftz-type methods: the ultraweak variational formulation and the least-squares method, for solving shortwave 2-D Helmholtz problems
- Plane wave discontinuous Galerkin methods: Analysis of theh-version
- The Construction of Preconditioners for Elliptic Problems by Substructuring, IV
- Domain Decomposition Algorithms for Indefinite Elliptic Problems
- An Optimal Domain Decomposition Preconditioner for the Finite Element Solution of Linear Elasticity Problems
- Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
- Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem
- Substructuring preconditioners for saddle-point problems arising from Maxwell’s equations in three dimensions
- Optimal Discrete Transmission Conditions for a Nonoverlapping Domain Decomposition Method for the Helmholtz Equation
- Efficient Solvers for Saddle-Point Problems Arising from Domain Decompositions with Lagrange Multipliers
- Optimized Schwarz Methods without Overlap for the Helmholtz Equation
- An overlapping domain decomposition preconditioner for a class of discontinuous Galerkin approximations of advection-diffusion problems
- Error analysis of Trefftz-discontinuous Galerkin methods for the time-harmonic Maxwell equations
- Two-Level Overlapping Schwarz Algorithms for a Staggered Discontinuous Galerkin Method
- AN ADAPTIVE NUMERICAL STRATEGY FOR THE MEDIUM-FREQUENCY ANALYSIS OF HELMHOLTZ'S PROBLEM
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