Journal ArticleDOI
Hierarchical tree-based discretization for the method of finite spheres
TLDR
A geometry-based automatic pre-processing environment for the method of finite spheres is reported; a truly meshfree numerical technique developed for the solution of boundary value problems on geometrically complex domains.About:
This article is published in Computers & Structures.The article was published on 2003-05-01. It has received 21 citations till now. The article focuses on the topics: Boundary knot method & Meshfree methods.read more
Citations
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Journal ArticleDOI
Robustness of isogeometric structural discretizations under severe mesh distortion
TL;DR: In this paper, a circular fillet patch is introduced through the appropriate degeneration of a control mesh in order to address the problem of modeling small features in finite element models and is tested with two problems of linear elasticity and is shown to be accurate.
BookDOI
Risk Analysis Based on Data and Crisis Response Beyond Knowledge : Proceedings of the 7th International Conference on Risk Analysis and Crisis Response (RACR 2019), October 15-19, 2019, Athens, Greece
TL;DR: In this article, two criteria are suggested to inspect whether a model of geospatial information diffusion is valid to fill in the missing observation in a gap unit, and the valid radiance determined by the maximum distance between the units of the sample point passed the test.
Journal ArticleDOI
On the method of finite spheres in applications: Towards the use with ADINA and in a surgical simulator
TL;DR: In this article, the authors present a preprocessor for the generation of nodal points on two-dimensional computational domains and a specialized version of the method of finite spheres using point collocation and moving least squares approximation functions and singular weight functions.
Journal ArticleDOI
A fast object-oriented Matlab implementation of the Reproducing Kernel Particle Method
Ettore Barbieri,Michele Meo +1 more
TL;DR: This paper presents numerous computational solutions aimed at a considerable reduction of the computational times: the use of kd-trees for the neighbour search, sparse indexing of the nodes-points connectivity and, most importantly, the explicit and vectorized inversion of the moment matrix without using loops and numerical routines.
Journal ArticleDOI
A natural neighbour Galerkin method with quadtree structure
TL;DR: In this paper, a highly structured numerical method that allows for an important speedup in the calculations is described, implemented in a bi-dimensional binary tree (quadtree or octree) structure in a partition of unity framework.
References
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Book
Finite Element Procedures
TL;DR: The Finite Element Method as mentioned in this paper is a method for linear analysis in solid and structural mechanics, and it has been used in many applications, such as heat transfer, field problems, and Incompressible Fluid Flows.
Proceedings ArticleDOI
A two-dimensional interpolation function for irregularly-spaced data
TL;DR: In many fields using empirical areal data there arises a need for interpolating from irregularly-spaced data to produce a continuous surface as discussed by the authors, and it is assumed that a unique number (such as rainfall in meteorology, or altitude in geography) is associated with each data point.
Book
The design and analysis of spatial data structures
TL;DR: The design and analysis of spatial data structures and applications for predicting stock returns and remembering and imagining palestine identity and service manual are studied.
Journal ArticleDOI
A finite point method in computational mechanics. applications to convective transport and fluid flow
TL;DR: In this article, the finite point method (FPM) is proposed for solving partial differential equations, which is based on a weighted least square interpolation of point data and point collocation for evaluating the approximation integrals.
Book
Curve and surface fitting : an introduction
TL;DR: The purpose of this book is to reveal to the interested (but perhaps mathematically unsophisticated) user the foundations and major features of several basic methods for curve and surface fitting that are currently in use.
Related Papers (5)
The method of finite spheres with improved numerical integration
Suvranu De,Klaus-Jürgen Bathe +1 more
The partition of unity finite element method: Basic theory and applications
Jens Markus Melenk,Ivo Babuška +1 more