C¹ quadratic finite element analysis and its applications /

Bibliographic Details
Main Author: He, Tian-Xiao, 1954-
Other Authors: Goodman, Timothy N. T. (degree committee member.), Palazzolo, Alan B. (degree committee member.), Ward, Joseph D. (degree committee member.)
Format: Thesis Book
Language:English
Published: 1991.
Subjects:
Online Access:Link to OAKTrust copy
Description
Abstract:It is well known that quadratic elements are very important in finite element analysis. However, in many applications, there are needs for globally smooth representation. The purpose of this dissertation is to investigate various aspects of C^1 quadratic finite element construction, analysis, and its application to shape-control interpolation and to the solution of Partial Differential Equations. In particular, we will emphasize the application of the theory of multivariate spline function to finite element analysis. In order to understand C^1 quadratic spline functions and C^1 quadratic elements in a more general setting some general results will be studied.
Item Description:Typescript (photocopy).
Vita.
"Major subject: Mathematics."
Physical Description:viii, 277 leaves : illustrations ; 29 cm
Bibliography:Includes bibliographical references.