Y Okada et al 2005 J. Phys. A: Math. Gen. 38 6675 doi:10.1088/0305-4470/38/30/004
Y Okada1, A Shudo1, S Tasaki2 and T Harayama3
Show affiliationsThe boundary element method is one of the reliable numerical schemes to solve the eigenvalue problem of the Helmholtz equation, which is justified by the Fredholm theory for domains with a smooth boundary. When a domain has corners, however, the corresponding integral equation is singular, so that the boundary element method lacks its well-established base. Employing a cutoff technique, we here formulate a well-grounded version of the boundary element method, and also give a certain justification to the standard boundary element method even for domains with corners.
81Q50 Quantum chaos (See also 37Dxx)
35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation (See also 31Axx, 31Bxx)
Issue 30 (29 July 2005)
Received 31 March 2005, in final form 15 June 2005
Published 13 July 2005
Y Okada et al 2005 J. Phys. A: Math. Gen. 38 6675
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