2017/10/18 by Sahil Garg, Mohit Pant · 1 citation
Engineering · Mathematics · #Numerical methods in engineering #Geotechnical Engineering and Underground Structures #Dam Engineering and Safety #Meshfree methods #Diffuse element method #Partial differential equation #Computer science #Galerkin method #Finite element method #Smoothed finite element method #Solid mechanics #Numerical analysis #Applied mathematics #Mathematical optimization #Mathematics #Extended finite element method #Structural engineering #Boundary knot method #Mathematical analysis #Physics #Boundary element method #Engineering #Spectral element method
paper · doi:10.1142/s0219876218300015
openalex publication_date 2017/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/15
The meshfree methods in computational mechanics have been actively proposed and increasingly developed in order to overcome some drawbacks in the conventional numerical methods. Over past three decades meshfree methods have found their way into many different application areas ranging from classical astronomical problems to solid mechanics analysis, fluid flow problems, vibration analysis, heat transfer and optimization to the numerical solution of all kind of (partial) differential equation problems. The present work is an effort to provide a comprehensive review of various Meshfree methods, their classification, underlying methodology, application area along with their advantages and limitations. Key contributions of mesh free techniques to the area of fracture mechanics have been discussed with applications of element free Galerkin method (EFGM) to fracture analysis as primary concern.