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A mesh is a representation of a larger geometric domain by smaller discrete cells. Meshes are commonly used to compute solutions of partial differential equations and render computer graphics, and to analyze geographical and cartographic data.
The basic object used in mesh modeling is a vertex, a point in three-dimensional space.Two vertices connected by a straight line become an edge.Three vertices, connected to each other by three edges, define a triangle, which is the simplest polygon in Euclidean space.
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
MATLAB (an abbreviation of "MATrix LABoratory" [18]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
MATLAB was created in the 1970s by Cleve Moler, who was chairman of the computer science department at the University of New Mexico at the time. It was a free tool for academics. Jack Little, who would eventually set up the company, came across the tool while he was a graduate student in electrical engineering at Stanford University.
function plot (x, y, c) is plot the pixel at (x, y) with brightness c (where 0 ≤ c ≤ 1) // integer part of x function ipart (x) is return floor (x) function round (x) is return ipart (x + 0.5) // fractional part of x function fpart (x) is return x-ipart (x) function rfpart (x) is return 1-fpart (x) function drawLine (x0, y0, x1, y1) is boolean steep:= abs (y1-y0) > abs (x1-x0) if steep ...
2D FEM mesh, the triangles are the elements, the vertices are the nodes.The finite element method has been the tool of choice since civil engineer Ray W. Clough in 1940 derived the stiffness matrix of a 3-node triangular finite element (and coined the name).
The ES-PIM is found superior in accuracy, and CS-PIM behaves in between the NS-PIM and ES-PIM. Moreover, W2 formulations allow the use of polynomial and radial basis functions in the creation of shape functions (it accommodates the discontinuous displacement functions, as long as it is in G1 space), which opens further rooms for future ...