In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained. [ABSTRACT FROM AUTHOR]
In this paper, we solve a problem on the existence of conjugate symplecticity of linear multi-step methods (LMSM), the negative result is obtained. [ABSTRACT FROM AUTHOR]
In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite...
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In this paper, a least-squares mixed finite element method for the solution of the primal saddle-point problem is developed. It is proved that the approximate problem is consistent ellipticity in the conforming finite element spaces with only the discrete BB-condition needed for a smaller auxiliary problem. The abstract error estimate is derived. [ABSTRACT FROM AUTHOR]
Presents the abstract L...-norm error estimate of nonconforming finite element method. Use of the Aubin Nitsche Lemma in estimating nonconforming finite element methods; Details on the equations.
Presents the abstract L...-norm error estimate of nonconforming finite element method. Use of the Aubin Nitsche Lemma in estimating nonconforming finite element methods; Details on the equations.
In this paper, an overlapping domain decomposition method for solvingthe exterior boundary value problem of plane elasticity equation by using naturalboundary reduction is discussed. This method is effective especiall...
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In this paper, an overlapping domain decomposition method for solvingthe exterior boundary value problem of plane elasticity equation by using naturalboundary reduction is discussed. This method is effective especially for problems overunbounded domains. The geometric convergency is proved. The theoretical results aswell as the numerical examples show that the convergence rate of this discreteSchwarz iteration is independent of the finite element mesh size, but dependent onthe frequency of the exact solution and the overlapping degree of subdomains.
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