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Ronald Webster Stability of algebraic multigrid for Stokes problems International Journal for Numerical Methods in Fluids 71

Article first published online: 11 APR 2012 | DOI: 10.1002/fld.3672

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The stability of smoothing in algebraic multigrid solvers, when applied to strongly coupled field problems (saddle-point problems), is shown to depend on the degree of coarsening in the coarse-grid approximation (CGA). Stability is most fragile for CGAs constructed with inter-grid transfer operators based on an equal-order interpolation of the scalar and vector fields. The ability of CGAs based on mixed-order interpolation to provide for a stable smoothing, and hence a mesh-independent convergence, is explained.

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