Residual-free bubbles for a singular perturbation equation

  • M. I. Asensio
  • L. P. Franca
  • A. Russo
Conference paper


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.


Galerkin Method Homogeneous Dirichlet Boundary Condition Reactive Coefficient Trial Space Galerkin Formulation 


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Copyright information

© Springer-Verlag Italia 2003

Authors and Affiliations

  • M. I. Asensio
    • 1
  • L. P. Franca
    • 2
  • A. Russo
    • 3
    • 4
  1. 1.Departamento de Matematica AplicadaUniversidade de SalamancaSalamancaSpain
  2. 2.Department of MathematicsUniversity of ColoradoDenverUSA
  3. 3.Dipartimento di Matematica e ApplicazioniUniversità di Milano BicoccaMilanoItaly
  4. 4.IMATI-CNRPaviaItaly

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