Numerical solution for a nonlinear obstacle problem
Volume 11, Issue 12, pp 1302--1312
http://dx.doi.org/10.22436/jnsa.011.12.02
Publication Date: September 08, 2018
Submission Date: March 14, 2018
Revision Date: August 05, 2018
Accteptance Date: August 28, 2018
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Authors
Ling Rao
- Department of Mathematics, Nanjing University of Science and Technology, Nanjing, China.
Shih-Sen Chang
- Center for General Educatin, China Medical University, Taichung, 40402,, Taiwan.
Abstract
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.
Share and Cite
ISRP Style
Ling Rao, Shih-Sen Chang, Numerical solution for a nonlinear obstacle problem, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 12, 1302--1312
AMA Style
Rao Ling, Chang Shih-Sen, Numerical solution for a nonlinear obstacle problem. J. Nonlinear Sci. Appl. (2018); 11(12):1302--1312
Chicago/Turabian Style
Rao, Ling, Chang, Shih-Sen. "Numerical solution for a nonlinear obstacle problem." Journal of Nonlinear Sciences and Applications, 11, no. 12 (2018): 1302--1312
Keywords
- Finite difference method
- nonlinear obstacle problem
- variational inequality
- elliptic partial differential equation
MSC
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