Efficient and effective algebraic splitting‐based solvers for nonlinear saddle point problems

• Published in: Mathematical Methods in the Applied Sciences
• Main Authors: Liu, Jia, Rebholz, Leo G., Xiao, Mengying
• Other Authors: National Science Foundation
• Format: Article in Journal/Newspaper
• Language: English
• Published: Wiley 2023
• Subjects: Bingham; Saddle Point; IPY
• Online Access: http://dx.doi.org/10.1002/mma.9665; https://onlinelibrary.wiley.com/doi/am-pdf/10.1002/mma.9665; https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9665

The incremental Picard Yosida (IPY) method has recently been developed as an iteration for nonlinear saddle point problems that is as effective as Picard but more efficient. By combining ideas from algebraic splitting of linear saddle point solvers with incremental Picard‐type iterations and grad‐di...