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Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations

Codd, Andrea; Manteuffel, T; McCormick, S


A fully variational approach is developed for solving nonlinear elliptic equations that enables accurate discretization and fast solution methods. The equations are converted to a first-order system that is then linearized via Newton's method. First-order system least squares (FOSLS) is used to formulate and discretize the Newton step, and the resulting matrix equation is solved using algebraic multigrid (AMG). The approach is coupled with nested iteration to provide an accurate initial guess...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: SIAM Journal of Numerical Analysis
DOI: 10.1137/S0036142902404406


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