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Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations - MaRDI portal

Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations (Q4554197)

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scientific article; zbMATH DE number 6976772

Language	Label	Description	Also known as
English	Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations	scientific article; zbMATH DE number 6976772

Statements

scholarly article

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Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations (English)

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Donald L. Brown

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Daniel Peterseim

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Dietmar Gallistl

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Meshfree Methods for Partial Differential Equations VIII

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publication date

13 November 2018

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full work available at URL

https://arxiv.org/abs/1511.09244

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http://eprints.nottingham.ac.uk/42391/

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zbMATH Keywords

Petrov-Galerkin method

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Helmholtz equations

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acoustic scattering problem

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MaRDI profile type

MaRDI publication profile

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

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Condition number estimates for combined potential integral operators in acoustics and their boundary element discretisation

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A Multiscale Method for Porous Microstructures

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SHARP REGULARITY COEFFICIENT ESTIMATES FOR COMPLEX-VALUED ACOUSTIC AND ELASTIC HELMHOLTZ EQUATIONS

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Mathematical aspects of discontinuous Galerkin methods.

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On Stability of Discretizations of the Helmholtz Equation

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Stable multiscale Petrov-Galerkin finite element method for high frequency acoustic scattering

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Contrôlabilité exacte des solutions de l'équation des ondes en présence de singularités. (Exact controllability of solutions to the wave equation under presence of singularities)

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Oversampling for the Multiscale Finite Element Method

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Stability estimates for a class of Helmholtz problems

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ANALYSIS AND FINITE ELEMENT METHODS FOR A FLUID-SOLID INTERACTION PROBLEM IN ONE DIMENSION

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Localization of elliptic multiscale problems

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Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

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Eliminating the pollution effect in Helmholtz problems by local subscale correction

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Building bridges: connections and challenges in modern approaches to numerical partial differential equations. Selected papers based on the presentations at the 101st LMS-EPSRC symposium, Durham, UK, July 8--16, 2014

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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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Identifiers

zbMATH Open document ID

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10.1007/978-3-319-51954-8_6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:4554197

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