COMPARISON OF CONTROL VOLUME AND GALERKIN FINITE ELEMENT METHODS FOR DIFFUSION-TYPE PROBLEMS
- 1 January 1990
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer, Part B: Fundamentals
- Vol. 16 (1) , 59-78
- https://doi.org/10.1080/10407798908944928
Abstract
Behavioral errors of an approximate solution, resulting from violation of fundamental physical constraints occurring in a diffusion transport phenomenon, are compared for Ike weighted residual-based and control volume-based finite element methods. Because of its physical background, the latter method offers a higher accuracy, better stability and oscillation characteristics, and preservation of the discrete maximum principle in coarse time-space discretization grids. Furthermore, it gives a simple, physically justified way for setting up a computationally convenient lumped mass matrix model in high-order finite element grids.Keywords
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