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On the use of the finite-element method with Lagrange multipliers in scattering theory

B L C Dalsgaard

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It is shown that the use of the finite-element method with Lagrange multipliers in scattering theory is equivalent to the Kohn variational principle. For simple test problems, the convergence of the reactance matrix is found to agree with the predicted behaviour, that is, the error in Kij is proportional to the square of the error of the Lagrange multiplier.


PACS

02.70.Dh Finite-element and Galerkin methods

02.10.Yn Matrix theory

02.30.Jr Partial differential equations

MSC

41A25 Rate of convergence, degree of approximation

65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

Subjects

Mathematical physics

Computational physics

Dates

Issue 9 (1 September 1982)



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