THE RESIDUAL-FREE BUBBLE NUMERICAL METHOD WITH QUADRATIC ELEMENTS

DOI10.1142/S0218202504003398zbMath1077.65118OpenAlexW2164615940MaRDI QIDQ5315597

Giancarlo Sangalli, M. I. Asensio, Alessandro Russo

Publication date: 9 September 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003398

zbMATH Keywords

numerical examplesfinite element methodsresidual-free bubble methoda priori error analysislinear diffusion-advection-reaction operator

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

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• Virtual bubbles and Galerkin-least-squares type methods (Ga.L.S.)
• Global and Local Error Analysis for the Residual-Free Bubbles Method Applied to Advection-Dominated Problems
• LINK-CUTTING BUBBLES FOR THE STABILIZATION OF CONVECTION-DIFFUSION-REACTION PROBLEMS
• A Priori Error Analysis of Residual-Free Bubbles for Advection-Diffusion Problems
• CHOOSING BUBBLES FOR ADVECTION-DIFFUSION PROBLEMS