The numerical analysis of a given nonlinear Dirichlet problem is studied. The approximation is achieved by a finite element method and error estimates are given; the approximated problem is solved by an iterative algorithm combining S. O. R. , penalty and duality. An extension to other nonlinear problems is given, along with numerical results.
|Translated title of the contribution||Approximation by Finite Elements of Order One and Solution by Penalization-Duality of a Class of Nonlinear Dirichlet Problems.|
|Number of pages||36|
|Journal||Rev Fr Autom Inf Rech Oper|
|Publication status||Published - 1975|
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