The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations

Thumbnail image of item number 1 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 2 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 3 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 4 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Showing 1-4 of 104 pages in this dissertation.

PDF Version Also Available for Download.

Description

The purpose of this paper is to develop a general method for using Finite Elements in the Steepest Descent Method. The main application is to a partial differential equation for a Transonic Flow Problem. It is also applied to Burger's equation, Laplace's equation and the minimal surface equation. The entire method is tested by computer runs which give satisfactory results. The validity of certain of the procedures used are proved theoretically. The way that the writer handles finite elements is quite different from traditional finite element methods. The variational principle is not needed. The theory is based upon the calculation … continued below

Physical Description

ix, 95 leaves : ill.

Creation Information

Liaw, Mou-yung Morris August 1981.

Context

This dissertation is part of the collection entitled: UNT Theses and Dissertations and was provided by the UNT Libraries to the UNT Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 240 times, with 4 in the last month. More information about this dissertation can be viewed below.

Who

People and organizations associated with either the creation of this dissertation or its content.

Author

Chair

Committee Members

Publisher

Rights Holder

For guidance see Citations, Rights, Re-Use.

  • Liaw, Mou-yung Morris

Provided By

UNT Libraries

The UNT Libraries serve the university and community by providing access to physical and online collections, fostering information literacy, supporting academic research, and much, much more.

About | Browse this Partner

Contact Us

Corrections Questions

What

Descriptive information to help identify this dissertation. Follow the links below to find similar items on the Digital Library.

Degree Information

Description

The purpose of this paper is to develop a general method for using Finite Elements in the Steepest Descent Method. The main application is to a partial differential equation for a Transonic Flow Problem. It is also applied to Burger's equation, Laplace's equation and the minimal surface equation. The entire method is tested by computer runs which give satisfactory results. The validity of certain of the procedures used are proved theoretically. The way that the writer handles finite elements is quite different from traditional finite element methods. The variational principle is not needed. The theory is based upon the calculation of a matrix representation of operators in the gradient of a certain functional. Systematic use is made of local interpolation functions.

Physical Description

ix, 95 leaves : ill.

Language

Item Type

Identifier

Unique identifying numbers for this dissertation in the Digital Library or other systems.

Collections

This dissertation is part of the following collection of related materials.

UNT Theses and Dissertations

Theses and dissertations represent a wealth of scholarly and artistic content created by masters and doctoral students in the degree-seeking process. Some ETDs in this collection are restricted to use by the UNT community.

About | Browse this Collection

What responsibilities do I have when using this dissertation?

Digital Files

When

Dates and time periods associated with this dissertation.

Creation Date

  • August 1981

Added to The UNT Digital Library

  • Aug. 22, 2014, 6 p.m.

Description Last Updated

  • June 25, 2018, 11:16 a.m.

Usage Statistics

When was this dissertation last used?

Yesterday: 0
Past 30 days: 4
Total Uses: 240
More Statistics

Interact With This Dissertation

Here are some suggestions for what to do next.

Start Reading

Thumbnail image of item number 1 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 2 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 3 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.
Thumbnail image of item number 4 in: 'The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations'.

PDF Version Also Available for Download.

Citations, Rights, Re-Use

International Image Interoperability Framework

IIF Logo

We support the IIIF Presentation API

Links for Robots

Helpful links in machine-readable formats.

Archival Resource Key (ARK)

International Image Interoperability Framework (IIIF)

Metadata Formats

Images

URLs

Stats

Liaw, Mou-yung Morris. The Steepest Descent Method Using Finite Elements for Systems of Nonlinear Partial Differential Equations, dissertation, August 1981; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc332366/: accessed May 26, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .

Back to Top of Screen