Residual-free bubbles for a singular perturbation equation
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.
KeywordsGalerkin Method Homogeneous Dirichlet Boundary Condition Reactive Coefficient Trial Space Galerkin Formulation
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