It is very important to improve the quality of surface meshes for numerical simulations, solid mesh generation, and computer graphics applications. Optimizing the form of the mesh elements it is necessary to preserve new nodes of the mesh as close as possible to a surface approximated by the initial mesh. This paper proposes a novel technique in which both of the requirements to mesh improvemen...

A numerical test case demonstrates that Lobatto and Gauss points are not natural superconvergent points for cubic and quartic finite elements under equilateral triangular mesh. 2000 Mathematics Subject Classification. Primary 65N30, Secondary 65N15, 41A10, 41A25, 41A27, 41A63.

The ultraconvergence property of the Zienkiewicz-Zhu gradient patch recovery technique based on local discrete least-squares fitting is established for a large class of even-order finite elements. The result is valid at all rectangular mesh symmetry points. Different smoothing strategies are discussed and numerical examples are demonstrated.

In view of the disadvantages existing planning methods used in CCOS techniques, such as low efficiency and workpieces containing obvious mid-frequency error after polishing, a new tool-path method based on improved Prim algorithm is presented. The core idea consists following steps: surface data reading, mesh generation, distribution resident points determining, polishing path generating. Then,...

We present a novel technique to extract a multiresolution surface representation from a dense set of unorganized points within three dimensional space. Without utilization of additional connectivity or topological information our procedure is able to efficiently produce a precise and topologicaly correct reconstruction of the underlying model. Based on a hierarchical spatial partitioning scheme...

In this paper we introduce a moving mesh method for solving PDEs in two dimensions. It can be viewed as a higher dimensional generalization of the moving mesh PDE (MMPDE) strategy developed in our previous work 24] for one dimensional problems. The MMPDE is derived from a heat ow equation which arises using a mesh adaptation functional in turn motivated from the theory of harmonic maps. Geometr...

This paper analyzes voice quality in terms of R-Factor and MOS in IEEE 802.11s Wireless Mesh Network (WMN). Another issue addressed in this paper is the effect of increasing nodes on voice transmission in wireless mesh network. The simulation model developed allows identifying the main reasons for voice quality degradation in Mesh network. Results show that voice quality measured in terms of R-...

In this paper we introduce a moving mesh method for solving PDEs in two dimensions. It can be viewed as a higher-dimensional generalization of the moving mesh PDE (MMPDE) strategy developed in our previous work for one-dimensional problems [W. Huang, Y. Ren, and R. D. Russell, SIAM J. Numer. Anal., 31 (1994), pp. 709–730]. The MMPDE is derived from a gradient flow equation which arises using a ...

This paper presents a procedure for eecient generation of three-dimensional unstructured meshes of tetrahedral elements. Initially, a constrained Delaunay mesh is generated wherein internal points are created using advancing-front point placement and are inserted using a Delaunay method. The overall procedure is applied repetitively until the mesh satisses a desired element size distribution fu...

In this paper, we propose a new efficient topology estimation algorithm to construct a multiresolution polygonal mesh from measured three-dimensional (3-D) range data. The topology estimation problem is defined under the constraints of cognition, compactness, and regularity, and the algorithm is designed to be applied to either a cloud of points or a dense mesh. The proposed algorithm initially...