Finite element heterogeneous multiscale method for elastic waves in heterogeneous media
DOI10.1016/j.cma.2018.01.038zbMath1440.74165OpenAlexW2793799757MaRDI QIDQ2310928
Marcus J. Grote, Assyr Abdulle, Orane Jecker
Publication date: 7 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://edoc.unibas.ch/69925/1/2018-05-elawaves-final.pdf
wave equationlinear elasticityheterogeneous mediaupscalingnumerical homogenizationmultiscale methods
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items
Cites Work
- Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
- Multi-scale methods for wave propagation in heterogeneous media
- Numerical homogenization of the acoustic wave equations with a continuum of scales
- The heterogeneous multiscale methods
- Finite difference heterogeneous multi-scale method for homogenization problems.
- Newmark local time stepping on high-performance computing architectures
- Fast Fourier homogenization for elastic wave propagation in complex media
- A Priori Error Analysis of the Finite Element Heterogeneous Multiscale Method for the Wave Equation over Long Time
- Multiscale Methods for Wave Propagation in Heterogeneous Media Over Long Time
- Multiscale Methods for Wave Problems in Heterogeneous Media
- Finite Element Heterogeneous Multiscale Method for the Wave Equation
- A Two–Scale Solution Algorithm for the Elastic Wave Equation
- The heterogeneous multiscale method
- Numerical Experiments for Multiscale Problems in Linear Elasticity
- Energy Conserving Explicit Local Time Stepping for Second-Order Wave Equations
- Analysis of Heterogeneous Multiscale Methods for Long Time Wave Propagation Problems
- Finite Element Heterogeneous Multiscale Method for the Wave Equation: Long-Time Effects
- Runge--Kutta-Based Explicit Local Time-Stepping Methods for Wave Propagation
- Discontinuous Galerkin finite element heterogeneous multiscale method for elliptic problems with multiple scales
- Discontinuous Galerkin Finite Element Method for the Wave Equation
- ANALYSIS OF A HETEROGENEOUS MULTISCALE FEM FOR PROBLEMS IN ELASTICITY
- Shape optimization by the homogenization method
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Finite element heterogeneous multiscale method for elastic waves in heterogeneous media
