Inexact monotone methods for solving nonlinear elliptic problems

Authors

  • Igor Boglaev Institute of Fundamental Sciences, Massey University, Palmerston North

DOI:

https://doi.org/10.21914/anziamj.v56i0.9317

Keywords:

semilinear elliptic problem, monotone convergence, inexact monotone method, inexact Newton method

Abstract

We numerically solving semilinear elliptic problems with the method of upper and lower solutions. Inexact monotone iterative methods are constructed, where monotone linear systems are solved by the Jacobi or Gauss--Seidel methods only approximately. The inexact monotone methods combine the quadratic monotone iterative method at outer iterations and the Jacobi or Gauss--Seidel methods at inner iterations, and possess global monotone convergence. Results of numerical experiments are presented. References
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Published

2015-10-28

Issue

Section

Proceedings Computational Techniques and Applications Conference