Abstract
The meshless local Petrov-Galerkin approach based on a regular local boundary integral equation is successfully extended to solve nonlinear boundary value problems. The present method is truly meshless, as no mesh connectivity is needed for interpolating the solution variables and for integrating the weak form. Compared to the original MLPG method, the present method does not need the derivatives of the shape functions in constructing the stiffness matrix for those nodes with no displacement specified on their local boundaries. Numerical examples show that high rates of convergence with mesh refinement are achievable, and the computational results are quite accurate.
Sign-in/Register to access full text options 
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 callMore From: International Journal for Computational Methods in Engineering Science and Mechanics
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.
