We develop the a posteriori error analysis for the RFB method, applied to the linear advection-diffusion problem: the numerical error, measured in suitable norms, is estimated in terms of the numerical residual. The robustness is investiged, in the sense that we prove uniform equivalence between a norm of the numerical residual and a particular norm of the error.
机构:
Shanghai Key Laboratory of Mechanics in Energy Engineering,Shanghai UniversityShanghai Institute of Applied Mathematics and Mechanics,Shanghai University
机构:
Qassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia
Univ Oran 1, Lab Fundamental & Appl Math Oran LMFAO, Ahmed Benbella, Oran, AlgeriaQassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia
Boulaaras, Salah
Touati Brahim, Mohammed Said
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Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12002, AlgeriaQassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia
Touati Brahim, Mohammed Said
Bouzenada, Smail
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Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12002, AlgeriaQassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia
Bouzenada, Smail
Zarai, Abderrahmane
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Larbi Tebessi Univ, Dept Math & Comp Sci, Tebessa 12002, AlgeriaQassim Univ, Coll Sci & Arts, Dept Math, Al Ras, Saudi Arabia
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Yan, Wenjing
Su, Jian
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Su, Jian
Jing, Feifei
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China