Computational experiments using nonconforming finite elements
| dc.creator | Mahood, Carrie Lynn | |
| dc.date.accessioned | 2016-11-14T23:11:22Z | |
| dc.date.available | 2011-02-19T01:06:33Z | |
| dc.date.available | 2016-11-14T23:11:22Z | |
| dc.date.issued | 2001-08 | |
| dc.description.abstract | Initially, the conforming finite element method is explained. The steps of the finite element method (begin with a second-order differential equation, multiply by a test function, put in integral form, produce a weak formulation by integrating by parts, reach a system of equations, and solve for unknowns) are discussed for a simple univariate case, general univariate case, and Poisson’s equation^1. A nonconforming finite element method is then used to solve the two-dimensional Poisson's equation. A matlab code, which may be found in the Appendix section A3 , solves the problem on Ù = [—1,1] x [0,1], where Ù1 = [—1.0] x [0,1] and Ù2 = [0,1] X [0,1]. The approximation on the boundary Ã12 =Ù1Ù2 is not truly continuous, but is “weakly" continuous. The result is a discontinuous approximation to a smooth function that demonstrates the feasibility of solving Poisson's equation by combining two separately meshed regions and enforcing "weak" continuity across the boundary. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/2346/22620 | en_US |
| dc.language.iso | eng | |
| dc.publisher | Texas Tech University | en_US |
| dc.rights.availability | Unrestricted. | |
| dc.subject | Poisson's equation -- Numerical solutions | en_US |
| dc.subject | Finite element method | en_US |
| dc.title | Computational experiments using nonconforming finite elements | |
| dc.type | Thesis |