Time-Split Finite Element Scheme for the PC
Document Type
Article
Publication Date
1995
Publication Title
Advances in Engineering Software
Volume
23
Issue
1
First page number:
15
Last page number:
26
Abstract
A time-split finite element scheme is developed based on one-dimensional, linear basis functions. The transient form of the transport equation is discretized and a recursion equation obtained through assemblage over two adjacent elements. The resulting one-dimensional scheme can be readily applied to multidimensional problems, requiring only the solution of a simple tri-diagonal banded matrix (in each direction). Computer program listings are included for solving two-dimensional advection and displaying a surface plot of a rotating cosine hill distribution on a PC.
Keywords
Computer simulation; Finite element; Finite element method; Microcomputers; PC; Recursion relation; Time-split
Disciplines
Computer Sciences | Engineering | Longitudinal Data Analysis and Time Series | Mechanical Engineering | Numerical Analysis and Scientific Computing
Language
English
Permissions
Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.
Repository Citation
Pepper, D. W.
(1995).
Time-Split Finite Element Scheme for the PC.
Advances in Engineering Software, 23(1),
15-26.