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Numerical resolvent methods for constrained problems in mechanics

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Approximation Theory and its Applications

Abstract

Resolvent methods are presented for generating systematically iterative numerical algorithms for constrained problems in mechanics. The abstract framework corresponds to a general mixed finite element subdifferential model, with dual and primal evolution versions, which is shown to apply to problems of fluid dynamics, transport phenomena and solid mechanics, among others. In this manner, Uzawa’s type methods and penalization-duality schemes, as well as macro-hybrid formulations, are generalized to non necessarily potential nonlinear mechanical problems.

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  1. Instituto de Geojisca, UNAM Coyoacán, 04510, México, D.F., México

    Gonzalo Alduncin

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  1. Gonzalo Alduncin
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Alduncin, G. Numerical resolvent methods for constrained problems in mechanics. Approx. Theory & its Appl. 12, 1–25 (1996). https://doi.org/10.1007/BF02849315

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  • DOI: https://doi.org/10.1007/BF02849315

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