Boletín SEMA, No 47 (2009)

Tamaño de la letra:  Pequeña  Mediana  Grande

NUMERICAL ANALYSIS OF SOME EXTERIOR PROBLEMS, MIXED METHODS AND A POSTERIORI ERROR ANALYSIS IN FLUID MECHANICS AND ELASTICITY

M. González-Taboada

Resumen


This paper contains a brief description of various problems in the field
of numerical analysis of partial differential equations. First, some results
concerning the numerical analysis of boundary value problems in exterior
domains of the plane are reviewed. Then, the derivation of dual-dual
mixed variational formulations in fluid mechanics is explored. Finally,
some results related to a posteriori error analysis in linear elasticity and
a new augmented formulation in elasticity are discussed.

Key words: Finite element method, boundary element method, symmetric
coupling, mixed finite elements, twofold sadd le point formulation, augmented for- mulation, a posteriori error analysis, parabolic-el liptic problem, quasi-linear problem, quasi-Newtonian flow, Stokes equation, linear elasticity, hyperelasticity.


AMS sub ject classifications: 65N30 65N22 65N15 65N50 76D07
76M10 74B05


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