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摘要 A new splitting extrapolation based on multivariate asymptotic expansionsof finite elemellt eraes for differellt mesh parameters is described. By means of splittingextrapolation, a far 3 scale prob...
摘要 The finite element solutions of elliptic equations are shown to have a multiparameter asymptotic error expansion. Based on this expansion and a multi-parameter splitting extrapolation technique, a ...
In this paperl we show that the finite element solution of parabolic equation hasa multi-parameter asymptotic error expansion. From this expansion, a multi-parameter splitting extrapolation method and...
In this paper, we discuss the accelerating convergence method for finite element approximation of integro-differential equations with parameters. As applications, we give the error estimates of finite...
The splitting extrapolation is an important technique for solving multidimensional problems. In the case that error u~h-u has an asymptotic expansion of form Σc_αh~(2α), whereα=(α_1,…,α_s) and h~α=h_1...
For a class of non-smooth Fredholm integral equations we prove that Richardson extrapolation method can be used to increase accuracy for finite element methods. On the basis of local refinement mesh, ...
In this paper,a numerical analysis of finite element methods for Fredholm equations of the first kind, which is based upon regularization, is made. It shows that extrapolation algorithms can accelerat...
For the variable coefficient elliptic eigenvalue problem on a smooth domain or aconvex polygonal domain,a numerical quadrature scheme over triangles is used for computing the coefficient of the result...

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