Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems (Q2195897)

scientific article

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English	Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems	scientific article

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instance of

scholarly article

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title

Adaptive-multilevel BDDC algorithm for three-dimensional plane wave Helmholtz systems (English)

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Journal of Computational and Applied Mathematics

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publication date

28 August 2020

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full work available at URL

https://arxiv.org/abs/1909.04426

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zbMATH Keywords

Helmholtz equation

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plane wave discretization

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BDDC

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adaptive constraints

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multilevel algorithms

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describes a project that uses

PCBDDC

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BDDCML

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MaRDI profile type

MaRDI publication profile

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cites work

A Survey of Trefftz Methods for the Helmholtz Equation

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Application of an Ultra Weak Variational Formulation of Elliptic PDEs to the Two-Dimensional Helmholtz Problem

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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

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The Fourier version of the variational theory of complex rays for medium-frequency acoustics

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The variational theory of complex rays for the calculation of medium‐frequency vibrations

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A least-squares method for the Helmholtz equation

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Q5862214

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A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations

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Plane wave discontinuous Galerkin methods: Analysis of the<i>h</i>-version

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Plane Wave Discontinuous Galerkin Methods for the 2D Helmholtz Equation: Analysis of the <i>p</i>-Version

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Q4825126

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FETI-DPH: A DUAL-PRIMAL DOMAIN DECOMPOSITION METHOD FOR ACOUSTIC SCATTERING

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Optimized Schwarz Methods without Overlap for the Helmholtz Equation

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An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation

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A robust domain decomposition method for the Helmholtz equation with high wave number

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Sweeping Preconditioner for the Helmholtz Equation: Moving Perfectly Matched Layers

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A Source Transfer Domain Decomposition Method for Helmholtz Equations in Unbounded Domain Part II: Extensions

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A Preconditioner for Substructuring Based on Constrained Energy Minimization

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Convergence of a balancing domain decomposition by constraints and energy minimization

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Analysis of FETI-DP and BDDC for Linear Elasticity in 3D with Almost Incompressible Components and Varying Coefficients Inside Subdomains

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BDDC Preconditioners for Spectral Element Discretizations of Almost Incompressible Elasticity in Three Dimensions

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Convergence analysis of a balancing domain decomposition method for solving a class of indefinite linear systems

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BDDC for Nonsymmetric Positive Definite and Symmetric Indefinite Problems

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Application of the parallel BDDC preconditioner to the Stokes flow

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A BDDC algorithm for flow in porous media with a hybrid finite element discretization

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Multilevel Balancing Domain Decomposition by Constraints Deluxe Algorithms with Adaptive Coarse Spaces for Flow in Porous Media

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Isogeometric BDDC Preconditioners with Deluxe Scaling

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A BDDC Algorithm with Enriched Coarse Spaces for Two-Dimensional Elliptic Problems with Oscillatory and High Contrast Coefficients

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Adaptive selection of face coarse degrees of freedom in the BDDC and the FETI-DP iterative substructuring methods

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BDDC and FETI-DP algorithms with a change of basis formulation on adaptive primal constraints

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Adaptive Coarse Spaces for BDDC with a Transformation of Basis

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BDDC Algorithms with deluxe scaling and adaptive selection of primal constraints for Raviart-Thomas vector fields

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Balancing Domain Decomposition by Constraints Algorithms for Curl-Conforming Spaces of Arbitrary Order

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An adaptive BDDC algorithm in variational form for mortar discretizations

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A BDDC algorithm with adaptive primal constraints for staggered discontinuous Galerkin approximation of elliptic problems with highly oscillating coefficients

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Adaptive Selection of Primal Constraints for Isogeometric BDDC Deluxe Preconditioners

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BDDC and FETI-DP without matrices or vectors

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PCBDDC: A Class of Robust Dual-Primal Methods in PETSc

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A comparison of adaptive coarse spaces for iterative substructuring in two dimensions

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A unified framework for adaptive BDDC

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Series and parallel addition of matrices

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Multispace and multilevel BDDC

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A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems

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Identifiers

zbMATH Open document ID

1446.65178

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Mathematics Subject Classification ID

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10.1016/J.CAM.2020.113011

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Sitelinks

Mathematics(1 entry)

mardi Publication:2195897