Time-Split Finite Element Scheme for the PC

Document Type



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.


Computer simulation; Finite element; Finite element method; Microcomputers; PC; Recursion relation; Time-split


Computer Sciences | Engineering | Longitudinal Data Analysis and Time Series | Mechanical Engineering | Numerical Analysis and Scientific Computing


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