Abstract
In this paper, a contour integral method called the block Sakurai–Sugiura (SS) method is implemented to solve eigenvalue problems governed by the Helmholtz equation and formulated through the boundary element method. In the SS method, the nonlinear eigenvalue problem is converted into a standard linear eigenvalue problem, and eigenvalues whose multiplicity is larger than one can also be extracted by using the block version of the SS method. In order to solve the boundary element linear equations with multiple right-hand sides efficiently, a block IDR(s) solver and an adaptivecross approximationare employed to improve the overallcomputationalefficiency.Numericalexamplesare given to demonstrate the accuracy and effectiveness of the proposed method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.