An Improved Finite Element Formulation Derived from the Method of Weighted Residuals.
WEAPONS RESEARCH ESTABLISHMENT SALISBURY (AUSTRALIA)
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By replacing the residual with its least-squares fit an improvement has been made to the Method of Weighted Residuals. For finite element applications the least-squares fit is made on an element basis. The improved formulation is illustrated by a number of examples drawn mainly from fluid-flow problems. The new formulation is closely related to the use of reduced integration and detailed comparisons with both exact and reduced integration are presented. The present formulation produces superior results to the use of reduced integration for some problems and formulations particularly when used with quadratic triangular elements. Author
- Statistics and Probability
- Fluid Mechanics