Bounded error schemes for the wave equation on complex domains

Journal of Scientific Computing

Volumn 26, Issue 1, 2006, Pages 67-81

  Abarbanel, Saul ^a   Ditkowski, Adi ^a   Yefet, Amir ^a  

^a TEL AVIV UNIVERSITY   (Israel)

Author keywords

Embedded methods; FDTD; Finite difference; Wave equation

Indexed keywords

BOUNDARY CONDITIONS; LINEAR EQUATIONS; MAXWELL EQUATIONS;

DIRICHLET BOUNDARY CONDITION; EMBEDDED METHODS; FINITE DIFFERENCE;

WAVE EQUATIONS;

EID: 32944481626     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-004-4800-x     Document Type: Article

References (8)

1. Abarbanel, S., and Ditkowski, A., (1997). Asymptotically stable fourth-order accurate schemes for the diffusion equation on complex shapes. J. Comput. Phys. 133(2).
2. Also, Multi-Dimensional Asymptotically Stable Fourth-Order Accurate Schemes for the Diffusion Equation. ICASE Report No. 96-8, February 1996.
3. Abarbanel, S., and Ditkowski, A., Multi-dimensional asymptotically stable schemes for advection-diffusion equations.ICASE Report 47-96. To appear Comput. Fluids.
4. Ditkowski, A., (1997). Bounded-error finite difference schemes for initial boundary value problems on complex domains, Thesis, Department of Applied Mathematics, School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Israel.
5. Taflove, A., (1995). Computational Electrodynamics, The Finite-Difference Time-Domain Method. Artech House Inc., pp. 51-56.
6. Turkel, E., and Yefet, A., (2000). Fourth Order Compact Implicit Method for the Maxwell Equations with Discontinuous. IEEE Trans. Antennas Propagat. 33, 125-134.
7. Turkel, E., and Yefet, A., (2000). On the construction of a high order difference scheme for the complex domain in cartesian grid. Appl. Numer. Math. 33, 113-124.
8. Yee, K. S., (1966). Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media. IEEE Trans. Antennas Propagat. AP-14(4), 302-307.