Abstract
AbstractThis chapter gives a state of the art review of the weak‐form‐ and strong‐form‐based reproducing kernel particle method (RKPM). The construction of the continuous and discrete reproducing kernel (RK) approximations and their approximation properties are first presented. Recent developments and their connection to other meshfree methods, as well as an overview of the inherent multiresolution capabilities of the RKPM, are then given. The Galerkin‐based method is discussed in detail, along with several recent advances in quadrature and stability. A review of strong form collocation with RK approximation as well as implicit gradient enhancement is presented. Formulations for large deformation and contact problems for which the RKPM is particularly well suited are also discussed.
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 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.
