International Journal for Numerical Methods in Engineering · 2005 · 256 citations · 31 references
EngineeringComputational EngineeringMechanical EngineeringComputational MechanicsFinite Element AnalysisFinite Element MethodsAdaptive Mesh RefinementComputational Solid MechanicsFinite Element DiscretizationFinite Element FormulationParticle MethodsSolid Mechanics ApplicationsA Posteriori Error EstimatesA Posteriori Error EstimationAdaptive Mesh AdaptivityAdaptive RefinementH-refinementLinear Elastic AnalysisLinear Elastic BehaviorParticle Arrangement
The implementation of h-adaptivity for meshfree particle methods within a structured framework is described. In this framework, the initial particle arrangement is structured along with a background mesh, and outside boundaries and interior interfaces are described by implicit functions. The advantage of meshfree approximations in this framework lies in the ease of implementing h-adaptivity and the simplicity of the data structures. Particles can easily be added and removed without complications in the data structure, although there are some issues in the quadrature. An a posteriori error estimation is used for the adaptive refinement. An adaptive refinement strategy is applied to several linear elastic problems with high stress and strain gradients and singularities. Several non-linear examples are also given. Copyright © 2005 John Wiley & Sons, Ltd.
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Reconstruction and representation of 3D objects with radial basis functions
J. C. Carr, R. K. Beatson, J. B. Cherrie et al. · 2001 · 1.8K citations