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

E.F.G. van Daalen, Edwin F.G. van Daalen, Jan Broeze, J. Broeze, Embrecht W.C. van Groesen

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    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.
    Original languageUndefined
    Pages (from-to)55-71
    Number of pages17
    JournalMathematics of computation
    Issue number58
    Publication statusPublished - 1992


    • METIS-140880
    • IR-30240

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