
doi: 10.1002/nme.798
handle: 11336/27372
AbstractA meshless method is presented which has the advantages of the good meshless methods concerning the ease of introduction of node connectivity in a bounded time of order n, and the condition that the shape functions depend only on the node positions. Furthermore, the method proposed also shares several of the advantages of the finite element method such as: (a) the simplicity of the shape functions in a large part of the domain; (b) C0 continuity between elements, which allows the treatment of material discontinuities, and (c) ease of introduction of the boundary conditions. Copyright © 2003 John Wiley & Sons, Ltd.
meshless methods, natural neighbour coordinates, Engineering, Civil, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite element method, Delaunay tessellation, Natural Neighbour Co-Ordinates, Engineering, Multidisciplinary, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, https://purl.org/becyt/ford/2.7, Engineering, Ocean, https://purl.org/becyt/ford/2, Engineering, Aerospace, Engineering, Biomedical, numerical examples, Computer Science, Software Engineering, Engineering, Marine, Engineering, Manufacturing, Engineering, Mechanical, non-Sibsonian interpolation, Finite Element Method, Engineering, Industrial, Non-Sibsonian Interpolation, Meshless Methods
meshless methods, natural neighbour coordinates, Engineering, Civil, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, finite element method, Delaunay tessellation, Natural Neighbour Co-Ordinates, Engineering, Multidisciplinary, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Poisson equation, Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs, https://purl.org/becyt/ford/2.7, Engineering, Ocean, https://purl.org/becyt/ford/2, Engineering, Aerospace, Engineering, Biomedical, numerical examples, Computer Science, Software Engineering, Engineering, Marine, Engineering, Manufacturing, Engineering, Mechanical, non-Sibsonian interpolation, Finite Element Method, Engineering, Industrial, Non-Sibsonian Interpolation, Meshless Methods
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