Numerical solution for a nonlinear obstacle problem
- Department of Mathematics, Nanjing University of Science and Technology, Nanjing, China
- Center for General Educatin, China Medical University, Taichung, 40402, Taiwan
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.
- Finite difference method
- nonlinear obstacle problem
- variational inequality
- elliptic partial differential equation
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