| Author | K. E. Jansen, C. Whiting, S. S. Collis and F. Shakib |
|---|---|
| Title | A Better Consistency for Low-Order Stabilized Finite Element Methods |
| Year | 1997 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 174(1-2) |
| Pages | 153-170 |
| Abstract | The standard implementation of stabilized finite element methods with a piece-wise function space of order lower than the highest derivative present in the partial differential equation often suffers from a weak consistency that can lead to reduced accuracy. The popularity of these low-order elements motivates the development of a new stabilization operator which globally reconstructs the derivatives not present in the local element function space. This new method is seen to engender a stronger consistency leading to better convergence. Applications to the Navier-Stokes equations are given which illustrate the improvement at a negligible additional cost. |
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