A formulation of asymptotic and exact boundary conditions using local operators

Applied Numerical Mathematics

Volumn 27, Issue 4, 1998, Pages 403-416

  Hagstrom, Thomas ^a   Hariharan, S I ^b  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b The University of Akron   (United States)

Author keywords

Maxwell's equations; Progressive wave expansions; Wave equations

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; MATHEMATICAL OPERATORS; MAXWELL EQUATIONS; PROBLEM SOLVING; TWO DIMENSIONAL;

PROGRESSIVE WAVE EXPANSIONS;

WAVE EQUATIONS;

EID: 0032141095     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(98)00022-1     Document Type: Article

References (9)

1. A. Barry, J. Bielak and R.C. MacCamy, On absorbing boundary conditions for wave propagation, J. Comput. Phys. 79 (1988) 449-468.
2. A. Bayliss and E. Turkel, Radiation boundary conditions for wave-like equations, Comm. Pure Appl. Math. 33 (1980) 707-725.
3. M. Grote and J. Keller, Exact nonreflecting boundary conditions for the time dependent wave equation, SIAM J. Appl. Math. 55 (1995) 280-297.
4. M. Grote and J. Keller, Nonreflecting boundary conditions for time dependent scattering, J. Comput. Phys. 127 (1996) 52-81.
5. T. Hagstrom, B. Alpert, L. Greengard and S.I. Hariharan, Accurate boundary treatments for Maxwell's equations and their computational complexity, in: 13th Annual Review in Applied Computational Electromagnetics, to appear.
6. T. Hagstrom and S.I. Hariharan, Progressive wave expansions and asymptotic boundary conditions for hyperbolic systems, in preparation.
7. T. Hagstrom and S.I. Hariharan, Progressive wave expansions and open boundary problems, in: B. Engquist and G.A. Kriegsmann, eds., Computational Wave Propagation, IMA Volumes in Mathematics and Its Applications, Vol. 86 (Springer, New York, 1997) 23-43.
8. T. Hagstrom, S.I. Hariharan and R.C. MacCamy, On the accurate long-time solution of the wave equation in exterior domains: asymptotic expansions and corrected boundary conditions, Math. Comp. 63 (1994) 507-539.
9. T. Hagstrom, S.I. Hariharan and D. Watkins, Numerical solutions of Maxwell's equations in unbounded regions, in preparation.