Convergence analysis of a coupled method for time‐dependent convection‐diffusion equations

Convergence analysis of a coupled method for time‐dependent convection‐diffusion equations
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时变对流扩散方程耦合方法的收敛性分析

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
Xin Yang
Xin Yang
中科院分区:
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文献类型:
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作者:
B. Rivière;Xin Yang

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针对时变对流扩散问题,提出并分析了两种局部质量守恒方法的耦合性。部分子域采用有限体积法,其他子域采用内罚不连续伽辽金法。数值算例表明了该混合方法的优点,即在较低的计算成本下获得了精确的近似。©2013 Wiley期刊公司数值方法偏微分方程30:133-157,2014
The coupling of two locally mass conservative methods is formulated and analyzed for the time‐dependent convection‐diffusion problem. Finite volume method is used in some subdomains and interior penalty discontinuous Galerkin method is used in other subdomains. Numerical examples show the advantages of the proposed hybrid method, namely an accurate approximation obtained at a reduced computational cost. © 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 133–157, 2014