In this paper, a nonlinear electrostatic surface integral equation is presented that is suitable for predicting corrosion-related fields. Nonlinear behavior arises due to electrochemical reactions at polarized surfaces. Hierarchical H2 matrices are used to compress the discretized integral equation for the fast solution of large problems. A technique based on randomized linear algebra is discussed for the efficient computation of the Jacobian matrix required at each iteration of a nonlinear solution.
|Number of pages||2|
|Journal||Applied Computational Electromagnetics Society Journal|
|State||Published - Nov 2020|
Bibliographical noteFunding Information:
This work was supported in part by Office of Naval Research Grant N00014-16-1-3066.
This work was supported in part by Office of Naval N00014-16-1-3066.
- Corrosion-related fields
- Hierarchical matrices
- Nonlinear integral equation
- Randomized linear algebra
ASJC Scopus subject areas
- Astronomy and Astrophysics
- Electrical and Electronic Engineering