===firstname: Jeremy ===firstname3: Matthew ===affil6: ===lastname3: Knepley ===email: jrt6@rice.edu ===keyword_other2: ===lastname6: ===affil5: ===lastname4: ===lastname7: ===affil7: ===postal: Department of Computational and Applied Mathematics Rice University 6100 S. Main St. MS-134 Houston, TX 77005 ===ABSTRACT: We provide a justification for the fully uncoupled solution of subdomains in SRMG in the simplified setting using a spectral discretization on the square. We estimate all constants, and provide an explicit bound on the halo size necessary at each mesh level in order to reduce algebraic error to the scale of discretization error with one full multigrid cycle, or textbook multigrid efficiency. ===affil3: Rice University ===title: Analysis of Segmental Refinement Multigrid (SRMG) ===affil2: Lawrence Berkeley National Laboratory ===lastname2: Adams ===firstname4: ===keyword1: Iterative Linear Algebraic Data Mining Techniques ===workshop: no ===lastname: Tillay ===firstname5: ===keyword2: NOT_SPECIFIED ===otherauths: ===affil4: ===competition: no ===firstname7: ===firstname6: ===keyword_other1: ===lastname5: ===affilother: ===firstname2: Mark