Eli Turkel

Professor, Department of Applied Mathematics

Tel Aviv University

Numerical Methods the Time Dependent Maxwell Equations
CEM
and Acoustics

Brief Research Summary

We have focused primarily on developing high order numerical algorithms for the time dependent Maxwell and acoustic equations. We also investigate absorbing boundary conditions for these equations.

Selected Publications

  • E. Kashdan and E. Turkel Time Dependent
    Sixth Order Accurate Finite Difference Schemes for the Helmholtz Equation
    High-order accurate modeling of electromagnetic wave propagation across media: Grid conforming bodies
    to appear in Journal of Computational Physics

  • E. Kashdan and E. Turkel Helmholtz
    A High Order Accurate Method for Frequency Domain Maxwell's Equations with Discontinuous Coefficients
    DOI: 10.1007/s10915-005-9049-5
    to appear in Journal of Scientific Computing

  • E. Turkel and A. Yefet Cartesian
    On the Construction of a High Order Difference Scheme for Complex Domains in a Cartesian Grid
    Applied Numerical Mathematics 33 (2000) 113-124

  • A. Yefet and E. Turkel Discontinuous
    Fourth Order Compact Implicit Method for the Maxwell Equations with Discontinuous Coefficients
    Applied Numerical Mathematics 33 (2000) 125-134

  • E. Turkel and A. Yefet PML
    Absorbing PML Boundary Layers for Wave-Like Equations
    Applied Numerical Mathematics 27:533-557, 1998

  • R. Hixon and E. Turkel
    Compact Implicit MacCormack-type Schemes with High Accuracy for Acoustics,
    Journal of Computational Physics, 158:51-70, 2000.

  • M.E. Hayder, E. Turkel On Absorbing Buffer Layers as Non-Reflecting Computational Boundaries,
    34th AIAA Aerospace Sciences Meeting, AIAA paper 96-0273, 1996.

  • M.E. Hayder, E. Turkel Nonreflecting Boundary Conditions for Jet Flow Computations
    AIAA J., 33:2264-2270, 1995.

  • A. Bayliss, K. E. Jordan, B. J. LeMesurier and E. Turkel,
    A Fourth Order Accurate Finite Difference Scheme for the Computation of Elastic Waves,
    Bulletin of the Seismological Society, 76: 1115-1132, 1986.

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