Bi-orthonormal wavelets and numerical boundary measures for wavelet-Galerkin methods
| dc.creator | Sangari, Bimal | |
| dc.date.accessioned | 2012-06-07T22:38:19Z | |
| dc.date.available | 2012-06-07T22:38:19Z | |
| dc.date.created | 1994 | |
| dc.date.issued | 1994 | |
| dc.description | Due to the character of the original source materials and the nature of batch digitization, quality control issues may be present in this document. Please report any quality issues you encounter to [email protected], referencing the URI of the item. | en |
| dc.description | Includes bibliographical references. | en |
| dc.description.abstract | The primary objective of this research is to study the application of B-spline wavelets in the approximation of the solutions of differential equations. The multiscale representation of geometric domains and their boundaries using B-splines is demonstrated. These are useful for specific numerical calculations in which boundary conditions are enforced over arbitrary domains using the penalty method. The formulation and solution of a multiscale wavelet-Galerkin problem using the penalty method is derived and the error in the solution is shown to depend on the order of the B-spline as well as the resolution level. The use of wavelets in multigridding strategies is demonstrated and the accuracy of the resulting solution is shown to be enhanced. The a posteriori error estimates, as presented by Bank and Smith [Ref 2], are validated and shown to be good error indicators. They are used to determine and compare the errors for solutions on different subspaces for wavelet Galerkin methods. | en |
| dc.format.digitalOrigin | reformatted digital | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/ETD-TAMU-1994-THESIS-S225 | |
| dc.language.iso | en_US | |
| dc.publisher | Texas A&M University | |
| dc.rights | This thesis was part of a retrospective digitization project authorized by the Texas A&M University Libraries in 2008. Copyright remains vested with the author(s). It is the user's responsibility to secure permission from the copyright holder(s) for re-use of the work beyond the provision of Fair Use. | en |
| dc.subject | aerospace engineering. | en |
| dc.subject | Major aerospace engineering. | en |
| dc.title | Bi-orthonormal wavelets and numerical boundary measures for wavelet-Galerkin methods | en |
| dc.type | Thesis | en |
| dc.type.genre | thesis | en |
| dc.type.material | text | en |
| thesis.degree.discipline | aerospace engineering | en |
| thesis.degree.level | Masters | en |
| thesis.degree.name | M.S. | en |