Application of Relaxation Scheme to Degenerate Variational Inequalities |
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| Authors: | Jela Babusikova |
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| Institution: | (1) Department of Numerical Analysis and Optimization, Faculty of Mathematics and Physics, Comenius University, Mlynska dolina, 842 48 Bratislava, Slovakia |
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| Abstract: | In this paper we are concerned with the solution of degenerate variational inequalities. To solve this problem numerically, we propose a numerical scheme which is based on the relaxation scheme using non-standard time discretization. The approximate solution on each time level is obtained in the iterative way by solving the corresponding elliptic variational inequalities. The convergence of the method is proved. |
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| Keywords: | degenerate variational inequalities numerical solution of variational inequalities free boundary problem oxygen diffusion problem |
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