Mixed Finite Element Methods for the Shallow Water Equations Including Current and Silt Sedimentation (Ⅰ)-The Continuous-Time Case
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摘要: 研究由水动力方程、 泥沙输运方程和河床变化方程组成的浅水方程的初边值问题, 讨论其广义解和混合有限元解的存在性, 并导出半离散混合有限元解的误差估计, 这些估计是最优阶的.Abstract: An initial-boundary value problem for shallow equation system consisting of water dynamics equations,silt transport equation,the equation of bottom topography change,and of some boundary and initial conditions is studied,the existence of its generalised solution and semidiscrete mixed fuute element(MFE) solution was discussed,and the error estimates of the semidiscrete MFE solution was derived.The error estimates are optimal.
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