| LINEARIZATION OF A NONLINEAR PERIODIC BOUNDARY CONDITION RELATED TO CORROSION MODELING |
| |
| 作者姓名： | Y. S. Bhat S. Moskow |
| |
| 作者单位： | [1]Institute for Mathematics and its Applications, Univ. of Minnesota, Minneapolis, MN 55455, USA [2]Department of Mathematics, Drexel University, Philadelphia, PA 19104, USA |
| |
| 基金项目： | Acknowledgments. This research is partially supported by the National Science Foundation Grants DMS#0619080 and DMS#0605021. |
| |
| 摘 要： |
|
| 关 键 词： | 非线性椭圆方程 边值问题 电流腐蚀 边界条件 |
| 修稿时间： | 2007-02-05 |
LINEARIZATION OF A NONLINEAR PERIODIC BOUNDARY CONDITION RELATED TO CORROSION MODELING |
| |
| Y. S. Bhat S. Moskow.LINEARIZATION OF A NONLINEAR PERIODIC BOUNDARY CONDITION RELATED TO CORROSION MODELING[J].Journal of Computational Mathematics,2007,25(6):645-660. |
| |
| Abstract: | We study galvanic currents on a heterogeneous surface. In electrochemistry, the oxidation-reduction reaction producing the current is commonly modeled by a nonlinear elliptic boundary value problem. The boundary condition is of exponential type with periodically varying parameters. We construct an approximation by first homogenizing the problem, and then linearizing about the homogenized solution. This approximation is far more accurate than both previous approximations or direct linearization. We establish convergence estimates for both the two and three-dimensional case and provide two-dimensional numerical experiments. |
| |
| Keywords: | Galvanic corrosion Homogenization Nonlinear elliptic boundary value problem Butler-Volmer boundary condition Robin boundary condition |
| 本文献已被 维普 等数据库收录！ |
