A three dimensional adaptive nodes technique applied to meshless-type methods

DOI10.1016/j.apnum.2008.06.003zbMath1162.65056OpenAlexW2038792811MaRDI QIDQ1015908

Kamal Shanazari, Nima Rabie

Publication date: 30 April 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.06.003

zbMATH Keywords

numerical examplesradial basis functionsPoisson equationadaptive meshsecond order elliptic equationequi-distributioncollocation meshless methoddimension reduction method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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A marching-on in time meshless kernel based solver for full-wave electromagnetic simulation ⋮ An adaptive domain partitioning technique for meshfree-type methods ⋮ A two-dimensional adaptive nodes technique in irregular regions applied to meshless-type methods ⋮ Adapting nodes in three dimensional irregular regions for meshless-type methods ⋮ An adaptive interpolation element free Galerkin method based on a posteriori error estimation of FEM for Poisson equation ⋮ AN ERROR ESTIMATOR AND ADAPTIVITY BASED ON BASIS COEFFICIENT-VECTOR FIELD OF ELEMENT-FREE GALERKIN METHOD

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