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T. 1. Hariharan, and D. Thompson. High-order radiation boundary conditions the convective wave equation in exterior domains. Submitted. 52. T. Hagstrom and I. Nazarov. Absorbing layers and radiation boundary conditions for jet flow simulations. Technical Report AIAA 2002-2606, AIAA, 2002. 53. T. Hagstrom and T. Warburton. High-order radiation boundary conditions for timedomain electromagnetics using unstructured discontinuous Galerkin methods. In preparation, 2002. 54. E. Hairer, C. Lubich, and M.
117) A simple choice which by an easy calculation can be shown to satisfy (117) is: s c R = - + a, a;:::: 0, (118) f-l = 0, leading to the equations: ~ oEot _ V' x B + (wf E = 0, (119) (wfB)) w = 0, (120) wz loB --+V'xE+ C )) (E) C ot (B) z (~:t +a+(/)w(E)+(/(_~) =0, (121) (~:t + a + (/) w(B) + (/ ( -~ ) (122) = 0. Although the equations themselves look quite different, a study of the eigenvalues reveals the formal equivalence between solutions of (119)-(122) and solutions in the layer constructed in .
2002. To appear. 49. T. 1. Hariharan. A formulation of asymptotic and exact boundary conditions using local operators. Appl. Numer. , 27:403-416, 1998. 50. T. 1. Hariharan, and R. MacCamy. On the accurate long-time solution of the wave equation on exterior domains: Asymptotic expansions and corrected boundary conditions. Math. , 63:507-539, 1994. 51. T. 1. Hariharan, and D. Thompson. High-order radiation boundary conditions the convective wave equation in exterior domains. Submitted. 52. T. Hagstrom and I.