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DISCONTINUOUS FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS

DISCONTINUOUS FINITE ELEMENT METHOD FOR CONVECTION-DIFFUSION EQUATIONS
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摘要 A discontinuous finite element method for convection-diffusion equations is proposed and analyzed. This scheme is designed to produce an approximate solution which is completely discontinuous. Optimal order of convergence is obtained for model problem. This is the same convergence rate known for the classical methods. [ABSTRACT FROM AUTHOR] A discontinuous finite element method for convection-diffusion equations is proposed and analyzed. This scheme is designed to produce an approximate solution which is completely discontinuous. Optimal order of convergence is obtained for model problem. This is the same convergence rate known for the classical methods. [ABSTRACT FROM AUTHOR]
出处 《Journal of Computational Mathematics》 SCIE CSCD 2000年第6期639-644,共6页 计算数学(英文)
关键词 Discontinuous finite element method Convection-diffusion equations. Discontinuous finite element method, Convection-diffusion equations.
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参考文献4

  • 1Griffiths,D.F.,Mitchell,A.R.,Griffiths,D.F.Nonconforming elements[].The mathematical basis of finite element methods with applications to partial differential equations.1984
  • 2Johnson,C,Navert,U,Pitk?ranta,J.Finite element methods for linear hyperbolic problems[].Computer Methods in Applied Mechanics and Engineering.1984
  • 3Johnson,C.,Pitk?ranta,J.An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation[].Mathematics of Computation.1987
  • 4P. G. Ciarlet.The Finite Element Method for Elliptic Problems[]..1978

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