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三维守恒律有限元方法逼近光滑解的误差估计(英文) 被引量:1

Error Estimates of the Finite Element Method Approximating Smooth Solutions
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摘要 我们对一个三维守恒律的显式有限元方法证明了H~1范数的二阶误差估计. We prove second order error estimates in Hl-norm for an explicit finite element scheme to three dimensional conservation laws.
作者 应隆安
出处 《数学进展》 CSCD 北大核心 2002年第5期451-460,共10页 Advances in Mathematics(China)
基金 This work was supported by the China State Major Key Project for Basic Researches the Research Fund for the Doctoral Program of Higher Education.
关键词 三维守恒律 有限元方法 逼近 光滑解 误差估计 conservation law finite element method error estimate
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  • 1张来平,张涵信.NND格式在非结构网格中的推广[J].力学学报,1996,28(2):135-142. 被引量:25
  • 2Ciarlet,PG. The finite element method for elliptic problems . 1978
  • 3C.Johnson,Szepessy.On the convergence of a finite clement method of a nonlinear hyperbolic conservation law. Mathematics of Computation . 1987
  • 4D.Kr(o|¨)ner,M.Rokyta.Convergence of upwind finite volume schemes on unstructured grids for scalar conservation laws in two dimensions. SIAM Journal on Numerical Analysis . 1994
  • 5Cockbum B,Coquel F,Lefloch P.An error estimate for finite volume methods for multidimensional conservation laws. Math Comut . 1994
  • 6B. Cockburn,S. Hou,C. W. Shu.The Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case. Mathematics of Computation . 1990
  • 7B. Cockburn,C. W. Shu.TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: General Framework. Mathematics of Computation . 1989
  • 8R.J. DiPerna.Measure-valued solutions to conservation laws. Archive for Rational Mechanics and Analysis . 1985
  • 9T. J. R. Hughes,L. P. Franca,M. Mallet.A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics. Computational Methods in Applied Mathematics . 1986
  • 10D. Kroner,S. Noelle,M. Rokyta.Convergence of higher order upwind finite volume Schemes onunstructured grids for scalar conservation laws in several space dimensions, Numer. Mathematica Journal .

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