Abstract
The “patch test” verifies whether a linear solution is reproduced exactly in an elasticity problem. This approach to test the numerical formulation and the code itself is standard in the finite element method. The MLS shape functions do not have a polynomial form. Therefore, the integration is not well performed by the classical Gauss–Legendre scheme and the patch test is only satisfied asymptotically at convergence. In this paper, we propose a custom quadrature scheme for MLS shape functions in order to ensure the properties needed for an exact verification of the patch test.
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: Computer Methods in Applied Mechanics and Engineering
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.
