Discrete Monotonicity Principle for Numerical Solutions of Obstacle Problems
نویسنده
چکیده
A new monotonicity principle and an L stability theorem are es tablished for a discrete obstacle problem which is de ned by a piece wise linear nite element discretization of a continuous problem This discrete monotonicity principle extends the discrete maximum princi ple of Ciarlet from linear equations to obstacle problems As an application of the monotonicity principle and the L stability theo rem we study the monotonicity property of three discrete obstacle problems and extend Baiocchi s and Nitsche s L estimates to a conforming full discrete obstacle problem
منابع مشابه
The University of Chicago Numerical Solution of Variational Inequalities a Dissertation Submitted to the Faculty of the Division of the Physical Sciences in Candidacy for the Degree of Doctor of Philosophy Department of Mathematics by Yongmin Zhang
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