High Dimensional Finite Elements for Multiscale Wave Equations

DOI10.1137/120902409zbMath1316.35025OpenAlexW2001605012MaRDI QIDQ5251788

Viet Hà Hoàng, Bingxing Xia

Publication date: 21 May 2015

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/10356/104256

zbMATH Keywords

correctorsparse tensor product

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (7)

Numerical homogenization beyond scale separation ⋮ Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions ⋮ Analyticity, regularity, and generalized polynomial chaos approximation of stochastic, parametric parabolic two-scale partial differential equations ⋮ High dimensional finite elements for time-space multiscale parabolic equations ⋮ Sparse tensor finite elements for elastic wave equation with multiple scales ⋮ High dimensional finite element method for multiscale nonlinear monotone parabolic equations ⋮ High dimensional finite elements for two-scale Maxwell wave equations

Cites Work

• Multi-scale methods for wave propagation in heterogeneous media
• Numerical homogenization of the acoustic wave equations with a continuum of scales
• Sparse tensor finite elements for elliptic multiple scale problems
• The heterogeneous multiscale methods
• Analysis of global multiscale finite element methods for wave equations with continuum spatial scales
• A multiscale finite element method for elliptic problems in composite materials and porous media
• Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems
• Correctors for the homogenization of the wave and heat equations
• Finite Element Heterogeneous Multiscale Method for the Wave Equation
• Sparse Finite Element Method for Periodic Multiscale Nonlinear Monotone Problems
• A Dispersive Effective Medium for Wave Propagation in Periodic Composites
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• High-Dimensional Finite Elements for Elliptic Problems with Multiple Scales
• Multiscale convergence and reiterated homogenisation
• ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF STOCHASTIC, PARAMETRIC ELLIPTIC MULTISCALE PDEs
• The Periodic Unfolding Method in Homogenization
• $L^2 $-Estimates for Galerkin Methods for Second Order Hyperbolic Equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: High Dimensional Finite Elements for Multiscale Wave Equations