Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations - MaRDI portal

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

From MaRDI portal
Publication:4554197

DOI10.1007/978-3-319-51954-8_6zbMath1404.65252arXiv1511.09244OpenAlexW2256669603MaRDI QIDQ4554197

Daniel Peterseim, Donald L. Brown, Dietmar Gallistl

Publication date: 13 November 2018

Published in: Meshfree Methods for Partial Differential Equations VIII (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.09244




Related Items (27)

Numerical homogenization beyond scale separationA hierarchical finite element Monte Carlo method for stochastic two-scale elliptic equationsA Multiscale Method for Porous MicrostructuresNumerical Homogenization of H(curl)-ProblemsMultiscale scattering in nonlinear Kerr-type mediaA coercive heterogeneous media Helmholtz model: formulation, wavenumber-explicit analysis, and preconditioned high-order FEMSharp Wavenumber-Explicit Stability Bounds for 2D Helmholtz EquationsMulti-Resolution Localized Orthogonal Decomposition for Helmholtz ProblemsA simple proof that the \textit{hp}-FEM does not suffer from the pollution effect for the constant-coefficient full-space Helmholtz equationA Spectral Decomposition Method to Approximate Dirichlet-to-Neumann Maps in Complicated WaveguidesA New Perfectly Matched Layer Method for the Helmholtz Equation in Nonconvex DomainsWavenumber Explicit Convergence of a Multiscale Generalized Finite Element Method for Heterogeneous Helmholtz ProblemsDoes the Helmholtz Boundary Element Method Suffer from the Pollution Effect?Multiscale sub-grid correction method for time-harmonic high-frequency elastodynamics with wave number explicit boundsComputational Homogenization of Time-Harmonic Maxwell's EquationsVariational Multiscale Stabilization and the Exponential Decay of Fine-Scale CorrectorsExponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz EquationsComputational high frequency scattering from high-contrast heterogeneous mediaThe Helmholtz equation in heterogeneous media: a priori bounds, well-posedness, and resonancesSparse Compression of Expected Solution OperatorsAn overlapping decomposition framework for wave propagation in heterogeneous and unbounded media: formulation, analysis, algorithm, and simulationEfficient implementation of the localized orthogonal decomposition methodExplicit computational wave propagation in micro-heterogeneous mediaNumerical Homogenization of Heterogeneous Fractional LaplaciansStability and finite element error analysis for the Helmholtz equation with variable coefficientsLearning dominant wave directions for plane wave methods for high-frequency Helmholtz equationsOptimization of Bathymetry for Long Waves with Small Amplitude



Cites Work


This page was built for publication: Multiscale Petrov-Galerkin Method for High-Frequency Heterogeneous Helmholtz Equations