Multigrid methods for parameter dependent problems
نویسندگان
چکیده
منابع مشابه
Multigrid methods for parameter dependent problems
—Multigrid methods for parameter dependent problems are discussed* The contraction numbers ofthe algoriîhms are proved within a unifying framework to be bounded awayfrom one, independent ofthe parameter and the mesth levels. Examples include the pure displacement and pure traction boundary value problems in planar linear elasticity, the Tïmoshenko béant problem, and the Reissner-Mindlin plate p...
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In this paper we consider multigrid methods for the parameter dependent problem of nearly incompressible materials. We construct and analyze multilevel-projection algorithms, which can be applied to the mixed as well as to the equivalent, non-conforming nite element scheme in primal variables. For proper norms, we prove that the smoothing property and the approximation property hold with consta...
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In this review, we intend to clarify the underlying ideas and the relations between various multigrid methods ranging from subset decomposition, to projected subspace decomposition and truncated multigrid. In addition, we present a novel globally convergent inexact active set method which is closely related to truncated multigrid. The numerical properties of algorithms are carefully assessed by...
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Multigrid methods with nested subspaces and inherited forms are analyzed in an abstract framework that permits application to linear systems of the type that have to be solved at each time level in time-stepping methods for nite element approximations of parabolic problems. Convergence rates that are independent of the space and time steps are obtained in an appropriate time step dependent norm.
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ژورنال
عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis
سال: 1996
ISSN: 0764-583X,1290-3841
DOI: 10.1051/m2an/1996300302651