A finite element scheme with a high order absorbing boundary condition for elastodynamics

[1]  J. Lysmer,et al.  Finite Dynamic Model for Infinite Media , 1969 .

[2]  J. Z. Zhu,et al.  The finite element method , 1977 .

[3]  A. Majda,et al.  Radiation boundary conditions for acoustic and elastic wave calculations , 1979 .

[4]  A. Bayliss,et al.  Radiation boundary conditions for wave-like equations , 1980 .

[5]  Robert L. Higdon,et al.  Numerical absorbing boundary conditions for the wave equation , 1987 .

[6]  Jacobo Bielak,et al.  On absorbing boundary conditions for wave propagation , 1988 .

[7]  Robert L. Higdon,et al.  Radiation boundary conditions for elastic wave propagation , 1990 .

[8]  D. Givoli.  Non-reflecting boundary conditions , 1991 .

[9]  R. Kleinman,et al.  Second International Conference on Mathematical and Numerical Aspects of Wave Propagation , 1993 .

[10]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[11]  David R. O'Hallaron,et al.  Large-scale simulation of elastic wave propagation in heterogeneous media on parallel computers , 1998 .

[12]  S. Tsynkov.  Numerical solution of problems on unbounded domains. a review , 1998 .

[13]  T. Hagstrom.  Radiation boundary conditions for the numerical simulation of waves , 1999, Acta Numerica.

[14]  Chrysoula Tsogka.  Modélisation mathématique et numérique de la propagation des ondes élastiques tridimensionnelles dans des milieux fissurés , 1999 .

[15]  J. Bielak,et al.  Domain Reduction Method for Three-Dimensional Earthquake Modeling in Localized Regions, Part II: Verification and Applications , 2001 .

[16]  C. Tsogka,et al.  Application of the perfectly matched absorbing layer model to the linear elastodynamic problem in anisotropic heterogeneous media , 2001 .

[17]  Murthy N. Guddati,et al.  On Optimal Finite-Difference Approximation of PML , 2003, SIAM J. Numer. Anal..

[18]  D. Givoli,et al.  High-order non-reflecting boundary scheme for time-dependent waves , 2003 .

[19]  Patrick Joly,et al.  Stability of perfectly matched layers, group velocities and anisotropic waves , 2003 .

[20]  Dan Givoli,et al.  Finite element analysis of time‐dependent semi‐infinite wave‐guides with high‐order boundary treatment , 2003 .

[21]  Thomas Hagstrom,et al.  A new auxiliary variable formulation of high-order local radiation boundary conditions: corner compatibility conditions and extensions to first-order systems , 2004 .

[22]  A. Chopra,et al.  Perfectly matched layers for transient elastodynamics of unbounded domains , 2004 .

[23]  D. Givoli.  High-order local non-reflecting boundary conditions: a review☆ , 2004 .

[24]  J. Vilotte,et al.  The Newmark scheme as velocity–stress time-staggering: an efficient PML implementation for spectral element simulations of elastodynamics , 2005 .

[25]  O. Ghattas,et al.  Parallel Octree-Based Finite Element Method for Large-Scale Earthquake Ground Motion Simulation , 2005 .

[26]  David Bindel,et al.  Elastic PMLs for resonator anchor loss simulation , 2005 .

[27]  Gunilla Kreiss,et al.  A new absorbing layer for elastic waves , 2006, J. Comput. Phys..

[28]  Dan Givoli,et al.  FINITE ELEMENT FORMULATION WITH HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES , 2006 .

[29]  Dan Givoli,et al.  LOCAL HIGH-ORDER ABSORBING BOUNDARY CONDITIONS FOR TIME-DEPENDENT WAVES IN GUIDES , 2007 .

[30]  E. A. Skelton,et al.  Guided elastic waves and perfectly matched layers , 2007 .

[31]  Dan Givoli,et al.  Computational Absorbing Boundaries , 2008 .

[32]  Dan Givoli,et al.  High-order local absorbing conditions for the wave equation: Extensions and improvements , 2008, J. Comput. Phys..

[33]  Kim B. Olsen,et al.  Model for Basin Effects on Long-Period Response Spectra in Southern California , 2008 .

[34]  Patrick Joly,et al.  Numerical Methods for Treating Unbounded Media , 2008 .

[35]  Dan Givoli,et al.  High‐order global–regional model interaction: Extension of Carpenter's scheme , 2009 .

[36]  Tim Warburton,et al.  Complete Radiation Boundary Conditions: Minimizing the Long Time Error Growth of Local Methods , 2009, SIAM J. Numer. Anal..

[37]  Tim Colonius,et al.  A high-order super-grid-scale absorbing layer and its application to linear hyperbolic systems , 2009, J. Comput. Phys..

[38]  Dan Givoli,et al.  Radiation boundary conditions for time-dependent waves based on complete plane wave expansions , 2010, J. Comput. Appl. Math..

[39]  L. Hervella-Nieto,et al.  Perfectly Matched Layers for Time-Harmonic Second Order Elliptic Problems , 2010 .

[40]  Anne-Sophie Bonnet-Ben Dhia,et al.  Transparent boundary conditions for the harmonic diffraction problem in an elastic waveguide , 2010, J. Comput. Appl. Math..

[41]  Dan Givoli,et al.  High‐order absorbing boundary conditions incorporated in a spectral element formulation , 2010 .

[42]  Dan Givoli,et al.  High-order Absorbing Boundary Conditions for anisotropic and convective wave equations , 2010, J. Comput. Phys..

[43]  Dan Givoli,et al.  Comparison of high‐order absorbing boundary conditions and perfectly matched layers in the frequency domain , 2010 .

[44]  D. Givoli,et al.  On the stability of the high-order Higdon Absorbing Boundary Conditions , 2011 .