Variational Principles and Conservation. Laws in the Derivation of Radiation Boundary Conditions for Wave Equations

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Daalen, Edwin F.G. van and Broeze, Jan and Groesen, Embrecht van (1992) Variational Principles and Conservation. Laws in the Derivation of Radiation Boundary Conditions for Wave Equations. Mathematics of Computation, 58 . pp. 55-71. ISSN 0025-5718

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Abstract:Radiation boundary conditions are derived for partial differential equations which describe wave phenomena. Assuming the evolution of the system to be governed by a Lagrangian variational principle, boundary conditions are obtained with Noether's theorem from the requirement that they transmit some appropriate density--such as the energy density--as well as possible. The theory is applied to a nonlinear version of the Klein-Gordon equation. For this application numerical test results are presented. In an accompanying paper the theory is applied to a two-dimensional wave equation.
Item Type:Article
Copyright:© 1992 American Mathematical Society
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Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/30240
Official URL:http://www.jstor.org/stable/2153020
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