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.
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© 2003 Springer-Verlag Italia
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Asensio, M.I., Franca, L.P., Russo, A. (2003). Residual-free bubbles for a singular perturbation equation. In: Brezzi, F., Buffa, A., Corsaro, S., Murli, A. (eds) Numerical Mathematics and Advanced Applications. Springer, Milano. https://doi.org/10.1007/978-88-470-2089-4_2
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DOI: https://doi.org/10.1007/978-88-470-2089-4_2
Publisher Name: Springer, Milano
Print ISBN: 978-88-470-2167-9
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