On the minimization of some nonconvex double obstacle problems.
Elfanni, A. (2003)
Journal of Applied Mathematics
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Displaying similar documents to “Regularization of an unilateral obstacle problem”
On the minimization of some nonconvex double obstacle problems.
Approximation of a nonlinear elliptic problem arising in a non-newtonian fluid flow model in glaciology
Roland Glowinski, Jacques Rappaz (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The main goal of this article is to establish a priori and a posteriori error estimates for the numerical approximation of some non linear elliptic problems arising in glaciology. The stationary motion of a glacier is given by a non-newtonian fluid flow model which becomes, in a first two-dimensional approximation, the so-called infinite parallel sided slab model. The approximation of this model is made by a finite element method with piecewise polynomial functions of degree 1. Numerical...
On a Variational Approach to some Quasilinear Problems
Canino, Annamaria (1996)
Serdica Mathematical Journal
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We prove some multiplicity results concerning quasilinear elliptic equations with natural growth conditions. Techniques of nonsmooth critical point theory are employed.
A posteriori error estimates for the D stabilized Mortar finite element method applied to the Laplace equation
Zakaria Belhachmi (2003)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We consider a non-conforming stabilized domain decomposition technique for the discretization of the three-dimensional Laplace equation. The aim is to extend the numerical analysis of residual error indicators to this model problem. Two formulations of the problem are considered and the error estimators are studied for both. In the first one, the error estimator provides upper and lower bounds for the energy norm of the mortar finite element solution whereas in the second case, it also...
Stabilization methods in relaxed micromagnetism
Stefan A. Funken, Andreas Prohl (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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The magnetization of a ferromagnetic sample solves a non-convex variational problem, where its relaxation by convexifying the energy density resolves relevant macroscopic information. The numerical analysis of the relaxed model has to deal with a constrained convex but degenerated, nonlocal energy functional in mixed formulation for magnetic potential and magnetization . In [C. Carstensen and A. Prohl, Numer. Math. 90 (2001) 65–99], the conforming -element in spatial dimensions...
Stability results for obstacle problems with measure data
Chiara Leone (2005)
Annales de l'I.H.P. Analyse non linéaire
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Superconvergence estimates of finite element methods for American options
Qun Lin, Tang Liu, Shu Hua Zhang (2009)
Applications of Mathematics
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In this paper we are concerned with finite element approximations to the evaluation of American options. First, following W. Allegretto etc., SIAM J. Numer. Anal. (2001), 834–857, we introduce a novel practical approach to the discussed problem, which involves the exact reformulation of the original problem and the implementation of the numerical solution over a very small region so that this algorithm is very rapid and highly accurate. Secondly by means of a superapproximation and...