The subject of this paper is an error estimate of the order h(1/2) in the L-2-norm for an explicit, fully discrete numerical scheme that approximates smooth solutions of the barotropic compressible fluid flow equations in the multidimensional case. Assuming some a-priori estimates for the discrete solution we derive an error estimate using a technique based upon stability results due to Dafermos [3] and DiPerna [5], which were originally formulated for systems of conservation laws.
机构:
Guangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R ChinaGuangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
Zhao, Hongxing
Yao, Zheng-an
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机构:
Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R ChinaGuangzhou Univ, Coll Math & Informat Sci, Guangzhou 510006, Guangdong, Peoples R China
机构:
Inst Appl Phys & Computat Math, Beijing, Peoples R ChinaInst Appl Phys & Computat Math, Beijing, Peoples R China
Ju, Qiangchang
Wang, Zhao
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Inst Appl Phys & Computat Math, Beijing, Peoples R China
China Acad Engn Phys, Grad Sch, Beijing, Peoples R ChinaInst Appl Phys & Computat Math, Beijing, Peoples R China