Localized orthogonal decomposition method for the wave equation with a continuum of scales

From MaRDI portal
Publication:2953198

DOI10.1090/mcom/3114zbMath1358.65064arXiv1406.6325OpenAlexW2115253932MaRDI QIDQ2953198

Patrick Henning, Assyr Abdulle

Publication date: 4 January 2017

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.6325



Related Items

Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescalesNumerical homogenization beyond scale separationNumerical Upscaling for Wave Equations with Time-Dependent Multiscale CoefficientsA Multiscale Method for Porous MicrostructuresA generalized finite element method for the strongly damped wave equation with rapidly varying dataNumerical Homogenization of H(curl)-ProblemsMultiscale scattering in nonlinear Kerr-type mediaRelaxing the CFL condition for the wave equation on adaptive meshesA Space-Time Multiscale Method for Parabolic ProblemsNeural Network Approximation of Coarse-Scale Surrogates in Numerical HomogenizationMultiscale methods for solving wave equations on spatial networksMultiscale techniques for parabolic equationsNumerical wave propagation aided by deep learningOn Optimal Convergence Rates for Discrete Minimizers of the Gross–Pitaevskii Energy in Localized Orthogonal Decomposition SpacesComputational Homogenization of Time-Harmonic Maxwell's EquationsVariational Multiscale Stabilization and the Exponential Decay of Fine-Scale CorrectorsContrast Independent Localization of Multiscale ProblemsReconstruction of quasi-local numerical effective models from low-resolution measurementsEffective Models for Long Time Wave Propagation in Locally Periodic MediaEfficient implementation of the localized orthogonal decomposition methodExplicit computational wave propagation in micro-heterogeneous mediaNumerical Homogenization of Heterogeneous Fractional LaplaciansMultiscale mixed finite elementsNumerical upscaling for heterogeneous materials in fractured domainsA Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long TimeComputational multiscale methods for first-order wave equation using mixed CEM-GMsFEMLocalized orthogonal decomposition for two-scale Helmholtz-type problemsConvergence analysis of the localized orthogonal decomposition method for the semiclassical Schrödinger equations with multiscale potentialsSuperconvergence of time invariants for the Gross–Pitaevskii equation



Cites Work