Residual-free bubbles for a singular perturbation equation

M. I. Asensio, L. P. Franca and A. Russo
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M. I. Asensio: Universidade de Salamanca, Departamento de Matematica Aplicada
L. P. Franca: University of Colorado, Department of Mathematics
A. Russo: Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 21-34 from Springer

Abstract: Summary We introduce a Galerkin formulation for the advective-reactive-diffusive equation. It is based on “residual-free bubble” enrichments for the test and trial spaces. An approximation of the ideal residual-free bubbles is considered and a new stabilized method is derived. The resulting formulation is proven to be stable for a wide range of coefficients and a convergence estimate is established. Numerical experiments attest to the stability and accuracy of the approach introduced.

Keywords: Galerkin Method; Homogeneous Dirichlet Boundary Condition; Reactive Coefficient; Trial Space; Galerkin Formulation (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_2

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DOI: 10.1007/978-88-470-2089-4_2

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