Efficient Jacobian Matrix Determination for H2 Representations of Nonlinear Electrostatic Surface Integral Equations
Abstract
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Feb 03, 2021
- Source ID
- 10.47037/2020.aces.j.351101
Entities
People
- John Young
- Robert Adams
- Stephen Gedney
Organizations
- Office of Naval Research