Trefftz Approximations: A New Framework for Nonreflecting Boundary Conditions
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Date
2016-03
Publication Type
Journal Article
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Abstract
A new general framework for approximate nonreflecting boundary conditions in wave scattering involves a set of local Trefftz functions-outgoing waves-and a commensurate set of degrees of freedom (DOF). With specific choices of bases and DOF, one obtains classical Engquist-Majda and Bayliss-Turkel conditions. Other choices yield a variety of approximate conditions. With derivatives of the solution as additional boundary DOF, accurate results can be obtained even on fairly coarse grids, as illustrated numerically.
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published
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52 (3)
Pages / Article No.
7201604
Publisher
IEEE
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Subject
Approximation methods; Boundary conditions; Electrodynamics; Wave propagation
Organisational unit
03632 - Hiptmair, Ralf / Hiptmair, Ralf