A first order system least squares method for the Helmholtz equation (Q313591)

scientific article; zbMATH DE number 6626239

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English	A first order system least squares method for the Helmholtz equation	scientific article; zbMATH DE number 6626239

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instance of

scholarly article

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title

A first order system least squares method for the Helmholtz equation (English)

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Journal of Computational and Applied Mathematics

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publication date

12 September 2016

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full work available at URL

https://arxiv.org/abs/1409.3362

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zbMATH Keywords

first order system least squares method

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Helmholtz equation

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high wave number

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pollution error

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stability

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error estimate

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describes a project that uses

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The $L^2$ Norm Error Estimates for the Div Least‐Squares Method

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Stability estimates for a class of Helmholtz problems

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Sharp High-Frequency Estimates for the Helmholtz Equation and Applications to Boundary Integral Equations

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Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers?

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Discontinuous Galerkin Methods for the Helmholtz Equation with Large Wave Number

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ℎ𝑝-Discontinuous Galerkin methods for the Helmholtz equation with large wave number

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Absolutely stable local discontinuous Galerkin methods for the Helmholtz equation with large wave number

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Error analysis for a hybridizable discontinuous Galerkin method for the Helmholtz equation

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A hybridizable discontinuous Galerkin method for the Helmholtz equation with high wave number

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Pre-asymptotic error analysis of CIP-FEM and FEM for the Helmholtz equation with high wave number. Part I: linear version

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Preasymptotic error analysis of CIP-FEM and FEM for Helmholtz equation with high wave number. II: $hp$ version

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THE PARTITION OF UNITY METHOD

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The partition of unity finite element method: basic theory and applications

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

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Convergence Analysis of a Discontinuous Galerkin Method with Plane Waves and Lagrange Multipliers for the Solution of Helmholtz Problems

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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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Analysis of a Spectral-Galerkin Approximation to the Helmholtz Equation in Exterior Domains

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GENERALIZED FINITE ELEMENT METHODS — MAIN IDEAS, RESULTS AND PERSPECTIVE

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An analysis of discretizations of the Helmholtz equation in $L^2$ and in negative norms

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Survey of meshless and generalized finite element methods: A unified approach

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Computational high frequency wave propagation

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A least-squares finite element method for the Helmholtz equation

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First-Order System Least-Squares for the Helmholtz Equation

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Degree and Wavenumber [In]dependence of Schwarz Preconditioner for the DPG Method

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Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

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Q3517285

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General DG-methods for highly indefinite Helmholtz problems

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Convergence rates of the DPG method with reduced test space degree

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A robust Petrov-Galerkin discretisation of convection-diffusion equations

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Asymptotically exact a posteriori error estimators for first-order div least-squares methods in local and global $L_2$ norm

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Analysis of the discontinuous Petrov-Galerkin method with optimal test functions for the Reissner-Mindlin plate bending model

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Low-order dPG-FEM for an elliptic PDE

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Breaking spaces and forms for the DPG method and applications including Maxwell equations

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A robust DPG method for convection-dominated diffusion problems. II: Adjoint boundary conditions and mesh-dependent test norms

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A dual Petrov-Galerkin finite element method for the convection-diffusion equation

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First order least squares method with weakly imposed boundary condition for convection dominated diffusion problems

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A class of discontinuous Petrov-Galerkin methods. I: The transport equation

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A class of discontinuous Petrov-Galerkin methods. II. Optimal test functions

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Locally conservative discontinuous Petrov-Galerkin finite elements for fluid problems

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An analysis of the practical DPG method

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DPG method with optimal test functions for a transmission problem

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Note on discontinuous trace approximation in the practical DPG method

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The DPG method for the Stokes problem

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Dispersive and Dissipative Errors in the DPG Method with Scaled Norms for Helmholtz Equation

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Camellia: a software framework for discontinuous Petrov-Galerkin methods

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Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

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Wavenumber explicit analysis of a DPG method for the multidimensional Helmholtz equation

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Q5607484

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Q4953888

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$hp$-finite element methods for singular perturbations

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Polynomial extension operators. Part III

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On the $p$- and $hp$-extension of Nédélec's curl-conforming elements

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Identifiers

zbMATH Open document ID

1347.65174

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Mathematics Subject Classification ID

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10.1016/J.CAM.2016.06.019

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Sitelinks

Mathematics(1 entry)

mardi Publication:313591