The immersed interface method for acoustic wave equations with discontinuous coefficients

[1]  A. A. Samarskii,et al.  Homogeneous difference schemes , 1962 .

[2]  R. Stephens,et al.  Acoustics and Vibrational Physics , 1966 .

[3]  Stanley Osher,et al.  Stability of difference approximations of dissipative type for mixed initial-boundary value problems. I , 1969 .

[4]  H. Kreiss,et al.  Stability Theory of Difference Approximations for Mixed Initial Boundary Value Problems. II , 1972 .

[5]  K. R. Kelly,et al.  SYNTHETIC SEISMOGRAMS: A FINITE ‐DIFFERENCE APPROACH , 1976 .

[6]  L. Trefethen.  Group velocity in finite difference schemes , 1981 .

[7]  David L. Brown.  A note on the numerical solution of the wave equation with piecewise smooth coefficients , 1984 .

[8]  J. Virieux.  P-SV wave propagation in heterogeneous media: Velocity‐stress finite‐difference method , 1986 .

[9]  Eli Turkel,et al.  A fourth-order accurate finite-difference scheme for the computation of elastic waves , 1986 .

[10]  A. Levander.  Fourth-order finite-difference P-SV seismograms , 1988 .

[11]  Bengt Fornberg,et al.  The pseudospectral method; accurate representation of interfaces in elastic wave calculations , 1988 .

[12]  Allan D. Pierce,et al.  Acoustics , 1989 .

[13]  Stéphane Gaffet,et al.  A boundary integral equation‐discrete wavenumber representation method to study wave propagation in multilayered media having irregular interfaces , 1989 .

[14]  R. LeVeque.  Numerical methods for conservation laws , 1990 .

[15]  Richard E. Ewing,et al.  Interface conditions for acoustic and elastic wave propagation , 1991 .

[16]  Elastic wave propagation in composite media , 1992 .

[17]  F. Muir,et al.  Modeling elastic fields across irregular boundaries , 1992 .

[18]  Najib N. Abboud,et al.  Electromechanical modeling using explicit time-domain finite elements , 1993 .

[19]  R. LeVeque,et al.  A comparison of the extended finite element method with the immersed interface method for elliptic equations with discontinuous coefficients and singular sources , 2006 .

[20]  William W. Symes,et al.  Error analysis of numerical schemes for the wave equation in heterogeneous media , 1994 .

[21]  Richard A. Ferguson,et al.  Some image modeling issues for I-line, 5X phase-shifting masks , 1994, Advanced Lithography.

[22]  Michael B. Porter,et al.  Computational Ocean Acoustics , 1994 .

[23]  Difference approximations for wave equations via finite elements II. Error analysis , 1995 .

[24]  Alain Sei.  A Family of Numerical Schemes for the Computation of Elastic Waves , 1995, SIAM J. Sci. Comput..

[25]  Difference approximations for wave equations via finite elements. I. Construction and performance , 1995 .

[26]  Zhilin Li.  The immersed interface method: a numerical approach for partial differential equations with interfaces , 1995 .

[27]  R. LeVeque.  High-resolution conservative algorithms for advection in incompressible flow , 1996 .

[28]  Zhilin Li,et al.  A note on immersed interface method for three-dimensional elliptic equations , 1996 .

[29]  Randall J. LeVeque,et al.  Immersed Interface Methods for Stokes Flow with Elastic Boundaries or Surface Tension , 1997, SIAM J. Sci. Comput..