===firstname: Yicong ===firstname3: Xiaozhe ===affil6: ===lastname3: Hu ===email: yxm147@psu.edu ===keyword_other2: ===lastname6: ===affil5: ===lastname4: Xu ===lastname7: ===affil7: ===postal: 109 McAllister Building, University Park, State College, PA 16802 ===ABSTRACT: Preconditioned GMRES method is widely used in solving linear systems in the coupled multi-physics problems. Block triangular preconditioners usually give satisfactory performance. We first analyze such preconditioned GMRES method for an abstract problem, and then apply this technique to linear systems arising from the finite element discretization. ===affil3: Tufts University, Medford, MA ===title: Preconditioned GMRES method with applications ===affil2: Peking University, Beijing, China ===lastname2: Hu ===firstname4: Jinchao ===keyword1: Robust and scalable iterative solution of coupled multi-physics problems: electromagnetics/fluids ===workshop: no ===lastname: Ma ===firstname5: ===keyword2: NOT_SPECIFIED ===otherauths: ===affil4: Penn State University, State College, PA ===competition: yes ===firstname7: ===firstname6: ===keyword_other1: ===lastname5: ===affilother: ===firstname2: Kaibo