A PRIORI ERROR ANALYSIS OF THE CHARACTERISTICS MIXED FINITE ELEMENT METHOD FOR SHALLOW WATER EQUATIONS

机译：浅水方程特征混合有限元法的先验误差分析

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This paper deals with the error analysis of a numerical formulation for shallow water equations based on the characteristics method for the time discretization combined to mixed finite elements for spatial approximation.. It is proved that the numerical mixed formulation has a unique convergent solution, under some regularity assumptions on the exact solution. A priori error estimates are then established, via L{sup}2 projection.

机译：本文涉及基于用于空间近似混合有限元的特性方法的浅水方程数值配方的误差分析。事实证明，数值混合配方具有独特的会聚解决方案精确解决方案上的规律性假设。然后通过L {SUP} 2投影建立先验错误估计。

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《IASTED International Conference on Modelling, Identification, and Control》|2003年||共6页
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F. Dabaghi; A. El Kacimi; B. Nakhle;
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中图分类 TP2-53;
关键词
Shallow water equations; Characteristics; Mixed finite element; A priori error estimate; Modelling estimation;

机译：浅水方程;特点;混合有限元;先验误差估计;建模估计;

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1. A priori $L^2$ error analysis for an expanded mixed finite element method for quasilinear pseudo-parabolic equations [J] . Mi Ray Ohm, Hyun Young Lee, Jun Yong Shin Journal of the Korean Mathematical Society . 2014,第1期

机译：拟线性拟抛物方程扩展混合有限元方法的先验$ L ^ 2 $误差分析
2. MIXED FINITE ELEMENT METHODS FOR THE SHALLOW WATER EQUATIONS INCLUDING CURRENT AND SILT SEDIMENTATION ( Ⅱ )-THE DISCRETE-TIME CASE ALONG CHARACTERISTICS [J] . 罗振东, 朱江, 曾庆存, 应用数学和力学（英文版） . 2004,第002期

机译：包括水流和泥沙沉降在内的浅水方程组的混合有限元方法（Ⅱ）-沿特征离散的情况
3. Finite element approximations to the system of shallow water equations, part II: Discrete-time a priori error estimates [J] . Chippada S., Martinez-Canales ML., Wheller MF., SIAM Journal on Numerical Analysis . 1998,第1期

机译：浅水方程组的有限元逼近，第二部分：离散时间先验误差估计
4. A PRIORI ERROR ANALYSIS OF THE CHARACTERISTICS MIXED FINITE ELEMENT METHOD FOR SHALLOW WATER EQUATIONS [C] . F. Dabaghi, A. El Kacimi, B. Nakhle IASTED International Conference on Modelling, Identification, and Control . 2003

机译：浅水方程特征混合有限元法的先验误差分析
5. A priori error estimates of finite element models of systems of shallow water equations. [D] . Martinez, Monica Lucia. 1998

机译：浅水方程组有限元模型的先验误差估计。
6. POSTPROCESSING MIXED FINITE ELEMENT METHODS FOR SOLVING CAHN-HILLIARD EQUATION: METHODS AND ERROR ANALYSIS [O] . Wansheng Wang, Long Chen, Jie Zhou -1

机译：解决卡恩-希尔德方程的后处理混合有限元方法：方法和误差分析
7. Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete Time A Priori Error Estimates [O] . S. Chippada, C. N. Dawson, M. L. Martinez, 1999

机译：浅水方程组的有限元逼近，第二部分：离散时间先验误差估计
8. Analysis of Evolutionary Error in Finite-Element Simulations of the Shallow-Water Equations [R] . Navon, I. M. 1981

机译：浅水方程有限元模拟中的进化误差分析

A PRIORI ERROR ANALYSIS OF THE CHARACTERISTICS MIXED FINITE ELEMENT METHOD FOR SHALLOW WATER EQUATIONS

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