2002 | OriginalPaper | Chapter
Numerical Verification Methods for Solutions of Free Boundary Problems
Authors : Mitsuhiro T. Nakao, Cheon Seoung Ryoo
Published in: Mathematical Modeling and Numerical Simulation in Continuum Mechanics
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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In this paper, we consider numerical techniques which enable us to verify the existence of solutions for the free boundary problems governed by two kinds of elliptic variational inequalities(EVIs). Based upon the finite element approximations and the explicit a priori error estimates for some simple EVIs, we present effective verification procedures that, through numerical computation, generate a set which includes exact solutions. We describe a survey of the previous works as well as show some newly obtained results up to now.