A new Meshless Local Petrov-Galerkin (MLPG) approach in computational mechanics

1998/08/24 by Satya N. Atluri, S. N. Atluri, T. Zhu +1 · 9 citations
Engineering · Mathematics · #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Boundary element method #Boundary value problem #Computer science #Finite element method #Geotechnical Engineering and Underground Structures #Interpolation (computer graphics) #Mathematical analysis #Mathematical optimization #Mathematics #Meshfree methods #Moving least squares #Numerical methods in engineering #Petrov–Galerkin method #Regularized meshless method #Singular boundary method #Smoothing

paper · doi:10.1007/s004660050346

crossref issued 1998/08/24 · crossref published 1998/08/24 · crossref published-print 1998/08/24 · openalex publication_date 1998/08/24 · crossref created 2002/08/25 · crossref deposited 2019/05/29 · openalex created_date 2025/10/10 · crossref indexed 2026/07/22 · openalex updated_date 2026/07/30

Citations

• Generalizing the finite element method: Diffuse approximation and diffuse elements
• Element‐free Galerkin methods

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• An advanced meshless approach for the high-dimensional multi-term time-space-fractional PDEs on convex domains
• An Overview on Meshfree Methods: For Computational Solid Mechanics
• Meshfree methods [wikipedia]