Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions. Page: 55
View a full description of this thesis.
Extracted Text
The following text was automatically extracted from the image on this page using optical character recognition software:
// performs Gauss-Legendre quadrature to fill element equations
I-
// Jason C. Hunnell
I-
// August 8, 2001
#ifndef ELEMENT H
#define ELEMENT H
#include <iostream>
#include <cmath>
#include "Shapes.h"
#include "TNT\tnt.h"
#include "TNT\cmat.h"
using namespace std;
using namespace TNT;
const int numGaussPoints = 12;
struct QuadPolyCoeffs
{
// = a + b*x + c*x*x
double a;
double b;
double c;
};
class Element
{
public:
............................................................................................................................................................ E le
ment0;
............ ............ ............ ........................................................................................................................ - E l
ement0;
void SetElementData(const double &leftBound, const double &rightBound,
const int &numberNodesPerElement, const int &numberDofPerNode,
const QuadPolyCoeffs &alpha,const QuadPolyCoeffs &beta,
const QuadPolyCoeffs &gamma);
double LeftBound0;
double RightBound0;
double Length 0;
int NumberOfNodes0;
int DofPerNode0;
void AssembleElement0;
Matrix<double> K;
Matrix<double> M;
private:
double GLIntegration(int &Row, int &Col, double (Element::*IntegrandFcn) (int&, int&, double&));
double Alphalntegrand(int &shapeNumRow, int &shapeNumCol, double &Xi);55
Upcoming Pages
Here’s what’s next.
Search Inside
This thesis can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Thesis.
Hunnell, Jason C. Application of the Finite Element Method to Some Simple Systems in One and Two Dimensions., thesis, May 2002; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc3087/m1/62/: accessed April 23, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .