On box schemes for elartliptic variational inequalities
作者： J. Steinbach
DOI: 10.1080/01630569708816808
关键词: Discretization 、 Variational inequality 、 Penalty method 、 Mathematics 、 Obstacle 、 Mathematical analysis 、 Norm (mathematics) 、 Maximum principle 、 Boundary value problem 、 Finite volume method
摘要: General finite volume approximations in two and three space dimensions are studied for the discretization of interior boundary obstacle problems with mixed conditions. First order convergence (box) solution is shown energy norm. Based on a discrete maximum principle there proposed penalization techniques inequalities. By coupling penalty parameters overall error analyzed. The iterative discussed. Finally, results numerical experiments presented to illustrate behaviour between exact, box solutions.
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