Geodesic
Numerical solution for a nonlinear obstacle problem
Rao, Ling1 ; Chang, Shih-Sen 2
1 Department of Mathematics, Nanjing University of Science and Technology, Nanjing, China
2 Center for General Educatin, China Medical University, Taichung, 40402,, Taiwan
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 12, p. 1302-1312.

Voir la notice de l'article provenant de la source International Scientific Research Publications

A monotone iterations algorithm combined with the finite difference method is constructed for an obstacle problem with semilinear elliptic partial differential equations of second order. By means of Dirac delta function to improve the computation procedure of the discretization, the finite difference method is still practicable even though the obstacle boundary is irregular. The numerical simulations show that our proposed methods are feasible and effective for the nonlinear obstacle problem.
DOI : 10.22436/jnsa.011.12.02
Classification : 35J87, 35J61
Keywords: Finite difference method, nonlinear obstacle problem, variational inequality, elliptic partial differential equation

Rao, Ling 1 ; Chang, Shih-Sen  2

1 Department of Mathematics, Nanjing University of Science and Technology, Nanjing, China
2 Center for General Educatin, China Medical University, Taichung, 40402,, Taiwan 
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 Rao, Ling; Chang, Shih-Sen . Numerical solution for a nonlinear   obstacle  problem. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 12, p. 1302-1312. doi : 10.22436/jnsa.011.12.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.12.02/

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