User ' S Guide Toa Boundary Element
نویسنده
چکیده
1 OVERVIEW This guide describes a collection of programs for (1) creating and reening tri-angulations on surfaces, and (2) solving integral equations using collocation methods over these triangulations. The main purpose of this package is to allow for experimentation with numerical methods for solving boundary integral equations that are deened on piecewise smooth surfaces in R 3. General surveys of the numerical solution of boundary integral equation (BIE) refor-mulations of Laplace's equation are given in 5] and 9], and an introduction to the numerical solution of such BIE is given in 8, Chap. 9]. Our package is restricted to triangulations which are \uniform", as there are additional diiculties in dealing with meshes that are suitably graded. We have included a few routines to create graded meshes, to allow for numerical integration of functions which have poor behaviour near edges and corners of the surface. These can also be used for setting up graded meshes for 1
منابع مشابه
User S Guide to a Boundary Element Package for Solving Integral Equations on Piecewise Smooth Surfaces
This guide describes a collection of programs for creating and re ning triangulations on surfaces and solving integral equations using collocation methods over these tri angulations The main purpose of this package is to allow for experimentation with numerical methods for solving boundary integral equations that are de ned on piecewise smooth surfaces in R For a general survey of the numerical...
متن کاملDynamical Characteristics of the Linear Rolling Guide with Numerical Simulation and Experiment
Research results will be different when the boundary condition is changed. In this work, the finite element model of the linear rolling guide of the NC machine tool is established. Then the natural frequencies and the corresponding vibration modals of the linear rolling guide model are obtained with two different boundary conditions. One boundary condition is that the movable joint surface of t...
متن کاملStepwise Context Boundary Exploration Using Guide Words
Most requirements elicitation methods do not explicitly provide a systematic way for deciding the boundary of the usage context that should be taken into account because it is essentially difficult to decide which context element should be included as the system requirements. If a developer explores the context boundary in an ad-hoc manner, the developer will be faced with the frame problem bec...
متن کاملA boundary element/finite difference analysis of subsidence phenomenon due to underground structures
Analysis of the stresses, displacements, and horizontal strains of the ground subsidence due to underground excavation in rocks can be accomplished by means of a hybridized higher order indirect boundary element/finite difference (BE/FD) formulation. A semi-infinite displacement discontinuity field is discretized (numerically) using the cubic displacement discontinuity elements (i.e. each highe...
متن کاملNovel techniques for the analysis of the TOA radiometric uncertainty
In the framework of the European Copernicus programme, the European Space Agency (ESA) has launched the Sentinel-2 (S2) Earth Observation (EO) mission which provides optical high spatial -resolution imagery over land and coastal areas. As part of this mission, a tool (named S2-RUT, from Sentinel-2 Radiometric Uncertainty Tool) estimates the radiometric uncertainties associated to each pixel usi...
متن کامل