An evaluation of the cost effectiveness of Chebyshev spectral and p-finite element solutions to the scalar wave equation

[1]  R. M. Alford,et al.  ACCURACY OF FINITE‐DIFFERENCE MODELING OF THE ACOUSTIC WAVE EQUATION , 1974 .

[2]  T. Belytschko,et al.  Dispersion analysis of finite element semidiscretizations of the two‐dimensional wave equation , 1982 .

[3]  K. Marfurt.  Accuracy of finite-difference and finite-element modeling of the scalar and elastic wave equations , 1984 .

[4]  M. A. Dablain,et al.  The application of high-order differencing to the scalar wave equation , 1986 .

[5]  Patrick Joly,et al.  Higher-order finite elements with mass-lumping for the 1D wave equation , 1994 .

[6]  D. Gottlieb,et al.  Numerical analysis of spectral methods : theory and applications , 1977 .

[7]  Géza Seriani,et al.  Spectral element method for acoustic wave simulation in heterogeneous media , 1994 .

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

[9]  T. A. Zang,et al.  Spectral methods for fluid dynamics , 1987 .

[10]  Ashley F. Emery,et al.  Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements , 1997 .

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

[12]  M. Jensen,et al.  HIGH CONVERGENCE ORDER FINITE ELEMENTS WITH LUMPED MASS MATRIX , 1996 .

[13]  David S. Burnett,et al.  Finite Element Analysis: From Concepts to Applications , 1987 .

[14]  Erland Johnson.  Dispersion properties of simple 3D finite elements , 1995 .

[15]  A. Patera.  A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .

[16]  W. Lord,et al.  Numerical analysis of the radiated fields of ultrasonic transducers , 1995 .

[17]  W. Scott,et al.  An investigation of numerical dispersion in the vector finite element method using quadrilateral elements , 1994 .