A variational inequality approach to free surface seepage in an inhomogeneous dam

✍ Scribed by D. R. Westbrook; Grant J. Gilmour

• Book ID: 102537770
• Publisher: John Wiley and Sons
• Year: 1985
• Tongue: English
• Weight: 392 KB
• Volume: 9
• Category: Article
• ISSN: 0363-9061
• DOI: 10.1002/nag.1610090608

✦ Synopsis

The current work uses Baiocchi's transformation to obtain heuristically a formulation of the inhomogeneous dam problem. When finite element methods are applied thc finite dimensional problem is a variational inequality which may be solved to obtain approximate solutions. The main advantage of the method is that it uses a fixed mesh.

The finite dimensional problem is solved by means of successive overrelaxation with projection. Although the standard convergence theory' for this method does not apply in this case, because the stiffness matrix is not symmetric, satisfactory and rapid convergence was obtained in all of our examples.

Numerical results are given for some examples.