A finite element scheme with a high order absorbing boundary condition for elastodynamics
From MaRDI portal
Publication:653757
DOI10.1016/j.cma.2011.03.006zbMath1228.74094OpenAlexW2007575342MaRDI QIDQ653757
Daniel Rabinovich, Jacobo Bielak, Dan Givoli, Thomas M. Hagstrom
Publication date: 19 December 2011
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2011.03.006
absorbing boundary conditionelastodynamicselastic wavesauxiliary variableshigh-ordersolid-Earth geophysics
Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Linear waves in solid mechanics (74J05)
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Cites Work
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- Guided elastic waves and perfectly matched layers
- On the stability of the high-order Higdon absorbing boundary conditions
- Non-reflecting boundary conditions
- High-order absorbing boundary conditions for anisotropic and convective wave equations
- Perfectly matched layers for time-harmonic second order elliptic problems
- Transparent boundary conditions for the harmonic diffraction problem in an elastic waveguide
- Radiation boundary conditions for time-dependent waves based on complete plane wave expansions
- A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems
- On absorbing boundary conditions for wave propagation
- Numerical solution of problems on unbounded domains. A review
- A perfectly matched layer for the absorption of electromagnetic waves
- Stability of perfectly matched layers, group velocities and anisotropic waves.
- High-order non-reflecting boundary scheme for time-dependent waves
- Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers
- Finite element formulation with high-order absorbing boundary conditions for time-dependent waves
- High-order local non-reflecting boundary conditions: a review
- A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems
- High-order local absorbing conditions for the wave equation: Extensions and improvements
- A new absorbing layer for elastic waves
- Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods
- Comparison of high-order absorbing boundary conditions and perfectly matched layers in the frequency domain
- Parallel Octree-Based Finite Element Method for Large-Scale Earthquake Ground Motion Simulation
- High-order absorbing boundary conditions incorporated in a spectral element formulation
- Elastic PMLs for resonator anchor loss simulation
- LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES
- Numerical Methods for Treating Unbounded Media
- High-order global-regional model interaction: Extension of Carpenter's scheme
- Numerical Absorbing Boundary Conditions for the Wave Equation
- Radiation boundary conditions for wave-like equations
- Radiation boundary conditions for acoustic and elastic wave calculations
- On Optimal Finite-Difference Approximation of PML
- Finite element analysis of time-dependent semi-infinite wave-guides with high-order boundary treatment
- Perfectly matched layers for transient elastodynamics of unbounded domains
- Radiation Boundary Conditions for Elastic Wave Propagation
