The paper presents a posteriori error estimate of FD-SD method for one- dimension time-dependent convection- dominated diffusion equation 5 which can be used to adjust space mesh. Some numerical results and an algorit...
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The paper presents a posteriori error estimate of FD-SD method for one- dimension time-dependent convection- dominated diffusion equation 5 which can be used to adjust space mesh. Some numerical results and an algorithm of adaptive finite element method based on this a posteriori error estimate are given.
The finite element methods for the second type variational inequality deduced from the simplified contact problem with friction have been considered by *** et al [2]. In this note, the modified finite element method w...
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The finite element methods for the second type variational inequality deduced from the simplified contact problem with friction have been considered by *** et al [2]. In this note, the modified finite element method with numerical integration for this problem is considered, and the error estimate is improved.
In this paper, based on the problems studied in [1], the discrete schemes of the coupling of FEM and BEM for the nonlinear parabolic equations are given. The existence of the approximation solution, and stability resu...
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In this paper, based on the problems studied in [1], the discrete schemes of the coupling of FEM and BEM for the nonlinear parabolic equations are given. The existence of the approximation solution, and stability results and corresponding error estimates are discussed in detail. Finally, the numerical example is provided, and numerical results show that the method is feasible and effective.
In this paper, we discuss the convergence properties of the memoryless quasi-Newton method proposed by Shanno (1978). In the two-dimensional quadratic case, we prove the global convergence of the method without any li...
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In this paper, we discuss the convergence properties of the memoryless quasi-Newton method proposed by Shanno (1978). In the two-dimensional quadratic case, we prove the global convergence of the method without any line search; if an exact line search is made at the first iteration, then the method gives the exact solution at most at the forth iteration. Numerical experiments further demonstrate these properties of the memoryless quasi-Newton method.
In this paper, a non-overlapping domain decomposition method is discussed for solving the exterior boundary value problem of plane elasticity equation. The exterior domain is naturally decomposed by a circle into a bo...
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In this paper, a non-overlapping domain decomposition method is discussed for solving the exterior boundary value problem of plane elasticity equation. The exterior domain is naturally decomposed by a circle into a bounded domain and an unbounded domain. With the advantage of the natural boundary reduction, a D-N method is presented. This method is effective and geometric convergent. The convergence rate of this iteration is independent of the finite element mesh size, but dependent on the relaxation factor.
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