6533b86ffe1ef96bd12cd163

RESEARCH PRODUCT

Numerical Approximation of Elliptic Variational Problems

Pekka NeittaanmäkiViorel Arnăutu

subject

Mathematical optimizationMathematics::ProbabilityNumerical approximationDiscretizationVariational inequalityPendulum (mathematics)Interpolation operatorApplied mathematicsSeepage flowLinear subspaceFinite element methodMathematics

description

This chapter is dedicated to the study of Elliptic Variational Inequalities (EVI). Different forms of such an EVI are considered. The Ritz—Galerkin discretization method is introduced, and methods to approximate the solution of an EVI are presented. The finite dimensional subspaces are built by use of the Finite Element Method. The discretized problems are solved using variants of the Successive OverRelaxation (SOR) method. The algorithms are tested on a typical example. The way to develop computer programs is carefully analysed.

yearjournalcountryeditionlanguage
2003-01-01
https://doi.org/10.1007/978-94-017-2488-3_3