Fast iterative solution of stabilised Stokes systems, part I: using simple diagonal preconditioners
SIAM Journal on Numerical Analysis
A Field-Based Mixed Formulation for the Two-Dimensional Magnetostatic Problem
SIAM Journal on Numerical Analysis
A Note on Preconditioning for Indefinite Linear Systems
SIAM Journal on Scientific Computing
Analysis of Preconditioners for Saddle-Point Problems
SIAM Journal on Scientific Computing
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Mixed electrostatic and magnetostatic finite element formulations are considered. Solution methods for the resulting indefinite algebraic systems are investigated. Methods developed for the mixed formulations of the Stokes equations are modified in order to apply to the Maxwell equations: an efficient block preconditioner is proposed and a stabilised formulation is described. The different methods are applied to 2D and 3D examples.