In this paper we analyze the Residual-Free Bubble (RFB) method applied to the linear diffusion-advection-reaction problem. We propose a new a priori error analysis for the method and for its practical implementation in a quite general context, which allows, e.g. linear or quadratic elements on the resolvable scales. We also perform some numerical tests, showing in both cases the advantages of the method.
Russo, A., Asensio, M., Sangalli, G. (2004). The residual-free bubble numerical method with quadratic elements. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 14(5), 641-661 [10.1142/S0218202504003398].
The residual-free bubble numerical method with quadratic elements
RUSSO, ALESSANDRO;
2004
Abstract
In this paper we analyze the Residual-Free Bubble (RFB) method applied to the linear diffusion-advection-reaction problem. We propose a new a priori error analysis for the method and for its practical implementation in a quite general context, which allows, e.g. linear or quadratic elements on the resolvable scales. We also perform some numerical tests, showing in both cases the advantages of the method.
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