Year-end Sale % OFF 
Abstract
Based on the combined field integral equation (CFIE) and the complex variable moving least squares (CVMLS) approximation, a complex variable boundary element-free method is developed for the exterior Neumann problem for the Helmholtz equation. To eliminate both strongly singular and hypersingular integrals and to ensure the stability and efficiency of the method for all wavenumbers, a regularized CFIE is derived. To facilitate the application of the method and the approximation of the gradient of the boundary function, the CVMLS approximation is used to discretize the CFIE. Numerical results reveal that the method is pollution-free and efficient for solving the Helmholtz equation with arbitrary and large wavenumbers.
Published Version
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.
