BELYTSCHKO T. , KRONGAUZ Y. , ORGAN D., FLEMING M., KRYSL P.: Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139 (1996). Home/Search Document Not in Database Summary Related Articles Check |
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Parallel Support Set Searches For Meshfree Methods - Cartwright Oliveira And (Correct)
....FE methods. There are a number of types of mesh free methods, such as partition of unity nite element methods (PUFEM) reproducing kernel particle methods (RKPM) element free Galerkin (EFG) methods, and moving least squares (MLS) methods. An overview of mesh free methods can be found in [1]. In this article we will focus on computational geometry techniques that are applicable to meshfree Galerkin methods. In meshfree Galerkin methods, a set of basis functions # i , i = 1, 2, N is de ned and we seek an approximate solution u = i=1 u i # i (x) For solving a partial ....
....distributed memory and up to 48 processors. Computer time was provided by the National Center for Supercomputing Applications at the University of Illinois at Urbana Champaign. 7.1. Results I: Regular domain, uniform density of sets. We rst tested our algorithm on a domain of the unit square [0, 1] [0, 1] with 128,000 points and 196,000 sets. The points were generated randomly and uniformly on [0, 1] 0, 1] The sets were generated by randomly generating the center of the set, and then the diameter of the set was randomly and uniformly generated in the range of [10 6 , diammax ] ....
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl, Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, 139 (1996), pp. 347.
Element-Free Galerkin Method for Electromagnetic Field.. - Cingoski, Miyamoto.. (1997) (Correct)
....II. Element free Galerkin Method The element free Galerkin (EFG) method is considered as a meshless method, because to obtain an approximated solution it requires only the de nition of a set of nodes distributed over the entire analysis region and the de nition of the boundary conditions [5]. However, for the numerical evaluation of the integrals generated using the Galerkin procedure, some kind of mesh must be considered. In the EFG method, this mesh does not depend on the node disposition and it is far simpler than the ordinary nite element mesh. This, so called integration mesh is ....
T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl, \Meshless methods: An overview and recent developments, "Computer Methods in Applied Mechanics and Engineering 139, 1-4, pp.3-47, 1996.
Numerical Solution of Variational Problems by Radial Basis.. - Wendland (1998) (3 citations) (Correct)
....which can be solved by discretization. This is the way finite elements treat this kind of problems in a very successful way. The aim of this paper is to give first ideas how radial basis functions can be used in this setting. There are several good reasons to investigate this meshless method (cf. [1] for an overview on general meshless methods and the literature in [3] for collocation based methods) e.g. the independence of space dimension (in contrast to classical finite element methods) and the independence of the underlying grid. The latter might be interesting in time dependent problems ....
Belytschko, T., Y. Krongauz, D. Organ, M. Fleming, and P. Krysl, Meshless methods: an overview and recent developments, Comp. Methods in Appl. Mech. Engin. 139 (1996), 3--47.
New Matrix Assembly Techniques for Meshless Methods - Han, Oliveira, Stewart (1999) (Correct)
....methods; there are a number of types of meshless methods such as Partition of Unity Finite Element Methods (PUFEM) Reproducing Kernel Particle Methods (RKPM) Element Free Galerkin (EFG) methods and Moving Least Squares (MLS) methods. An overview of meshless methods in general can be found in [3]. All of these methods construct basis functions Psi i , i = 1; 2; N over the domain of interest Omega ae R from which a Galerkin discretization is developed. Thus, for example, for solving the partial differential equation Gammar u(x) u(x) f(x) x 2 Omega u(x) 0; x ....
.... private QtreeNode parent; private int depth; private int coords[2] g qtree; An octree tree can be described in a similar way using Java class OctreeNodef private Object data; private OctreeNode parent; private OctreeNode children[2] 2] 2] private int depth; private int coords[3]; g octree; We use the following notation and terminology to describe various aspects of quadtrees, octrees and their d dimensional analogues. ffl A support set S i is simply a bounded subset of R ; the quadtree or octree construction algorithm is , given a collection fS i j i = 1; 2; ....
T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
Probabilistic fracture mechanics by Galerkin meshless methods - .. - Rao, Rahman (2002) (3 citations) (Correct)
.... Stress intensity factor, Rates of stress intensity factor, Interaction integral, Linear eleastic fracture mechanics Introduction In recent years, various Galerkin based meshless methods have been developed or investigated to solve fracturemechanics problems without the use of a structured grid [1 7]. These meshless methods employ moving leastsquares (MLS) approximation of a function that permits the resultant shape functions to be constructed entirely in terms of arbitrarily placed nodes. Since no element connectivity data is required, the burdensome meshing or remeshing characteristic of ....
....given by Eqs. 1) and (2) can then be expressed by [1] du i x J df i u i #g #0 4 where f i and u i are the ith components of fx J respectively. Consider an MLS approximation of the displacement at node J in the x i direction u i denoted as [1 7] I1 fU ;0; U ;0g f0;U ; 0;U Jg 6 . 9 = is the vector of nodal parameters or generalized displacements, and N is the total number of nodal ....
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Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P (1996) Meshless methods: an overview and recent developments. Comp. Meth. Appl. Mech. Eng. 139: 3--47
The Finite Volume, Finite Element, and Finite Difference Methods .. - Mattiussi (2000) (Correct)
....a continuous counterpart of a cell complex, composed by spread cells. Of course, these spread cells usually overlap, whereas the 78 CLAUDIO MATTIUSSI p cells of a cell complex meet at most on lower dimensional cells. However, if the weight function constitute a partition of unity in the domain [Belytschko et al. 1996], something of the spirit that dictated that request for cell complexes remains valid, since the sum of the physical quantities associated with the spread cells of W equals the amount of that quantity associated with the entire domain. Note that the role of integration by parts,or, if you prefer, ....
....number of n cells of the primary or secondary mesh, this is not mandatory. One could in fact conceive of a separately defined element mesh to accommodate this process, which can be itself a cell complex or not (for example, different elements could overlap) or, as is the case of meshless methods [Belytschko et al. 1996], no element mesh at all. Finally, some scattered comments on edge elements and the operation of reconstruction in general. First, we should mention that edge elements alone do not guarantee that a discretization complies with the results of the NUMERICAL METHODS FOR PHYSICAL FIELD PROBLEMS 105 ....
Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., and Krysl, P. (1996). Meshless Methods: An Overview and Recent Developments, Computer Methods in Applied Mechanics and Engineering 139, 3-47.
Discontinuous Enrichment in Finite Elements with a.. - Dolbow, Moes, Belytschko (2000) Self-citation (Belytschko) (Correct)
....While this strategy certainly creates a discontinuity in the approximation, it is cumbersome if the line Gamma c evolves in time, or if several different configurations for Gamma c are to be considered. In this paper we propose to model the discontinuity along Gamma c with extrinsic enrichment [11], in which the standard approximation (1) is modified as u h (x) n X I=1 N I ( x) 0 u I nE (I) X l=1 a Il G l (x) 1 A (2) where G l (x) are enrichment functions, and a Il are additional nodal degrees of freedom for node I. In the above, the total number of enriched degrees of ....
T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
Point Set Surfaces with Sharp Features - Reuter, Joyot, Trunzler.. (2005) (Correct)
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BELYTSCHKO T. , KRONGAUZ Y. , ORGAN D., FLEMING M., KRYSL P.: Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139 (1996).
Reconstructing Implicit Surfaces with Sharp Edges via Enriched . .. - Reuter, al. (2004) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
Domain Decomposition By Radial Basis Functions For .. - Munoz-Gomez.. (2006) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming and P. Krysl, Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, 139(1-4), 1996, 3-47.
Multi-scale and Adaptive CS-RBFs for Shape Reconstruction .. - Ohtake, Belyaev, Seidel (2003) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3-47, 1996.
3D Scattered Data Approximation with Adaptive Compactly.. - Ohtake, Belyaev, Seidel (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
Multiple Crack Weight for Solution of Multiple - Interacting Cracks By (Correct)
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Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., Krysl, P., "Meshless Methods: An Overview and Recent Developments." Computer Methods in Applied Mechanics and Engineering, Vol. 139, 1996, pp. 3--47.
A Meshless Method wth Enriched Weight Functions for.. - Duflot (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
A Meshless Method With Enriched Weight Functions For.. - Duflot, Nguyen-Dang (2003) (1 citation) (Correct)
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Belytschko T, Krongauz Y, Organ D, Fleming M, Krysl P. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996, 139:347.
Spacetime Meshing for Discontinuous Galerkin Methods - Thite (2004) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139:3--47, 1996. #http://www.tam.northwestern.edu/mfleming/efg.html#. Special issue on Meshless Methods.
Point Based Animation of Elastic, Plastic and Melting.. - Müller, Keiser.. (2004) (Correct)
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BELYTSCHKO T. KRONGAUZ Y. ORGAN D., FLEMING M., KRYSL P. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139, 3 (1996), 3--47. 2
Meshless Methods and Partition of Unity Finite Elements - Sukumar (2003) (2 citations) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139:3--47, 1996.
Point Based Animation of Elastic, Plastic and Melting.. - Müller, Keiser.. (2004) (Correct)
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BELYTSCHKO T. KRONGAUZ Y. ORGAN D., FLEMING M., KRYSL P. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering 139, 3 (1996), 3--47.
A Meshfree Method for Incompressible Fluid Dynamics Problems - Tsukanov, al. (2002) (Correct)
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T. Belytschko, Y. Krongauz, D. Organ, M. Fleming, and P. Krysl. Meshless methods: An overview and recent developments. Computer Methods in Applied Mechanics and Engineering, 139(1--2):3--47, 1996.
Numerical Methods for Partial Differential Equations Involving.. - Cecil (2003) (Correct)
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T Belytschko, Y Krongauz, D Organ, M Fleming, and P Krysl. "Meshless methods: An overview and recent developments." Comp. Meth. Appl. Mech. Eng., 139:3--47, 1996.
Numerical Methods for High Dimensional Hamilton-Jacobi.. - Cecil, Qian, Osher (2003) (Correct)
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T Belytschko, Y Krongauz, D Organ, M Fleming, and P Krysl. Meshless methods: An overview and recent developments. Comp. Meth. Appl. Mech. Eng., 139:3--47, 1996.
Voronoi Cell Finite Difference Method for the Diffusion Operator.. - Sukumar (2003) (Correct)
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Belytschko, T, Krongauz, Y, Organ, D, Fleming, M, Krysl P. Meshless methods: an overview and recent developments. Computer Methods in Applied Mechanics and Engineering 1996; 139:3--47.
An Investigation of Wavelet Bases for Grid-Based.. - Christon.. (1998) (Correct)
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T. BELYTSCHKO, Y. KRONGAUZ, D. ORGAN, M. FLEMING, AND P. KRYSL, Meshless methods: An overview and recent developments, Computer Methods in Applied Mechanics and Engineering, 139 (1996), pp. 3-47.
Point placement for meshless methods using Sphere packing and .. - Li, Teng, Ungor (Correct)
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T. BELYTSCHKO, Y. KRONGAUZ, D. ORGAN, M. FLEMING AND P. KRYSL, Meshless Methods: An Overview and Recent Developments Computer Methods in Applied Mechanics and Engineering (139), 3-47, 1996.
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