A Posteriori Error Estimations of Some Cell Centered Finite Volume Methods for Diffusion-Convection-Reaction Problems
作者： Serge Nicaise
DOI: 10.1137/040611483
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摘要: This paper presents an a posteriori residual error estimator for diffusion-convection-reaction problems approximated by some cell centered finite volume methods on isotropic or aniso-tropic meshes in Rd, d=2 3. For that purpose we built reconstructed approximation, which is appropriate interpolant of the solution. The then difference between exact solution and this interpolant. based jump normal derivative We prove equivalence energy norm estimator. Some numerical tests confirm our theoretical results.
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