Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects
DOI10.1137/13094195XzbMath1315.65084OpenAlexW2006509721MaRDI QIDQ5251774
Christian Stohrer, Assyr Abdulle, Marcus J. Grote
Publication date: 21 May 2015
Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/13094195x
convergencewave equationerror estimatesheterogeneous mediadispersive waveslong-time behaviormultiscale methodnumerical experimentnumerical homogenizationsecond-order hyperbolic problems
Wave equation (35L05) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Green's functions for ordinary differential equations (34B27) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (27)
Cites Work
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- FE heterogeneous multiscale method for long-time wave propagation
- Multi-scale methods for wave propagation in heterogeneous media
- Numerical homogenization of the acoustic wave equations with a continuum of scales
- Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients
- The heterogeneous multiscale methods
- Finite difference heterogeneous multi-scale method for homogenization problems.
- Correctors for the homogenization of the wave and heat equations
- Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time
- Finite Element Heterogeneous Multiscale Method for the Wave Equation
- DISPERSIVE EFFECTIVE MODELS FOR WAVES IN HETEROGENEOUS MEDIA
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- The heterogeneous multiscale method
- A Dispersive Model for Wave Propagation in Periodic Heterogeneous Media Based on Homogenization With Multiple Spatial and Temporal Scales
- Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
- A Dispersive Effective Medium for Wave Propagation in Periodic Composites
- The Effect of Quadrature Errors on Finite Element Approximations for Second Order Hyperbolic Equations
- Heterogeneous Multiscale FEM for Diffusion Problems on Rough Surfaces
- Bloch-Wave Homogenization on Large Time Scales and Dispersive Effective Wave Equations
- Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- Operator Upscaling for the Acoustic Wave Equation
- ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY
- On A Priori Error Analysis of Fully Discrete Heterogeneous Multiscale FEM
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