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.

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