Multigrid methods for parameter dependent problems are discussed. The contraction numbers of the algorithms are proved within a unifying framework to be bounded away from one, independent of the parameter and the mesth levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Timoshenko beam problem, and the Reissner-Mindlin plate problem.
CITATION STYLE
Brenner, S. C. (1996). Multigrid methods for parameter dependent problems. Mathematical Modelling and Numerical Analysis, 30(3), 265–297. https://doi.org/10.1051/m2an/1996300302651
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