Chapter 3 The variational formulation of elliptic PDEs.
Shuai Li — disambiguation page; Shuai Li 0002 — Hong Kong Polytechnic University, Department of Computing, Kowloon, Hong Kong (and 1 more); Shuai Li 0003 — Northeastern University, State Laboratory of Synthesis Automation of Process Industry, Shenyang, China (and 1 more); Shuai Li 0004 — University of Idaho, Department of Biological Sciences, Moscow, ID, USA.
Laplace's equation,. is elliptic since the discriminant,, is negative.Laplace's equation occurs in numerous physically based simulation models and is usually associated with a diffusive or dispersive process in which the state variable, is in an equilibrium condition. For example, could represent an equilibrium temperature in a two dimensional thermodynamic model based on Fick's Law.
Elliptic problems for some anisotropic operators Ph.D. Thesis Agnese Di Castro. This Ph.D. Thesis is devoted to the study of some classes of elliptic boundary value problems. The interest in these problems relies on the fact that they are nonlinear. Indeed the anisotropic operator which we consider in our studies, weighs partial.
Shengfa Wang, Yu Cai, Zhiling Yu, Junjie Cao, Zhixun Su: Normal-controlled coordinates based feature-preserving mesh editing. Multimedia Tools Appl. 71 ( 2 ): 607-622 ( 2014 ).
Mesh-free methods have significant potential for simulations in complex geometries, as the time consuming process of mesh-generation is avoided. Smoothed Particle Hydrodynamics (SPH) is the most widely used mesh-free method, but suffers from a lack of consistency. High order, consistent, and local (using compact computational stencils) mesh-free methods are particularly desirable. Here we.
Abstract This paper presents n -dimensional feature recognition of triangular meshes that can handle both geometric properties and additional attributes such as color information of a physical object. Our method is based on a tensor voting technique for classifying features and integrates a clustering and region growing methodology for segmenting a mesh into sub-patches.
It has been shown to be very accurate in anisotropic media, and requires less computation than the exact method proposed in Sethian and Vladimirsky in a general framework for anisotropic optimal path planning. The main contribution of this work is to show how this method applies to the case of an elliptic medium, where the algorithm performs extremely well both in terms of accuracy and.