Eli Turkel

Professor, Department of Applied Mathematics

Tel Aviv University

Numerical Methods the Helmholtz Equation

Brief Research Summary

We have focused on high order methods for the Helmholtz equation.

Selected Publications

  • I. Singer and E. Turkel Sixth order
    Sixth Order Accurate Finite Difference Schemes for the Helmholtz Equation
    to appear in Journal of Computational Acoustics, 2006.

  • I. Singer and E. Turkel Helmholtz & PML
    A Perfectly Matched Layer for the Helmholtz Equation in a Semi-infinite Strip
    Journal of Computational Physics, 201:439-465, 2004.

  • E. Turkel, C. Farhat and U. Hetmaniuk Accuracy
    Improved Accuracy for the Helmholtz Equation in Unbounded Domains
    International Journal of Numerical Methods in Engineering, 59:1963-1988, 2004

  • E. Turkel Survey
    Numerical Difficulties Solving Time Harmonic Equations
    Multiscale Computational Methods in Chemistry and Physics
    A. Brandt, J. Bernholc and K. Binder editors, IOS Press, Ohmsha, 319-337, 2001.

  • I. Harari, M. Slavutin and E. Turkel PML
    Analytical and Numerical Studies of a Finite Element PML for the Helmholtz Equation
    Journal of Computational Acoustics, 8:121-137, 2000.

  • I. Singer and E. Turkel 4th order BC
    High Order Finite Difference Methods for the Helmholtz Equation,
    Computer Methods in Applied Mechanics and Engineering 163:343-358, 1998

  • I. Harari and E. Turkel, Fourth Order
    Accurate Finite Difference Methods for Time-harmonic Wave Propagation,
    Journal of Computational Physics, 119:252-270, 1995.

  • A. Bayliss, C. I. Goldstein and E. Turkel,
    The Numerical Solution of the Helmholtz Equation for Wave Propagation
    Problems in Underwater Acoustics,
    Computers and Mathematics with Applications, 11:655-665, 1985.

  • A. Bayliss, C. I. Goldstein and E. Turkel,
    Preconditioned Conjugate Gradient for the Helmholtz Equation,
    Proc. Second Elliptic Problem Solvers, Birkhoff Editor, Academic Press, N.Y., 233-243, 1984.

  • J. Gozani, A. Nachshon, E. Turkel,
    Conjugate Gradient Coupled with Multigrid for an Indefinite Problem,
    Advances in Computer Methods for Partial Differential Equations V, 425-427, 1984.

  • A. Bayliss, C. I. Goldstein and E. Turkel,
    An Iterative Method for the Helmholtz Equation,
    Journal of Computational Physics, 49: 443-457, 1983.

  • A. Bayliss, C. I. Goldstein and E. Turkel,
    An Iterative Method for the Helmholtz Equation,
    Journal of Computational Physics, 49: 443-457, 1983.

  • Return to Eli Turkel's homepage