Abstract
An iterative quadrature method is presented and analyzed for a second kind Fredholm integral equation with a logarithmic kernel which arises from the boundary integral equation reformulation of some boundary value problems for the two-dimensional Helmholtz equation. The method combines a quadrature method for discretizing the integral equation with a preconditioned iterative method for solving the resulting dense and nonsymmetric linear system. The quadrature method has a polynomial or exponential rate of convergence, which can be retained by the preconditioned iterative method with only $O(N^2 )$ arithmetic operations.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: 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.
