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.
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, 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.
In this paper, we obtain H1 norm estimate for multigrid method for plate bending problem. Meanwhile, optimal convergence rate under H1 norm is also obtainted for nested iteration multigrid method.
In this paper, we obtain H1 norm estimate for multigrid method for plate bending problem. Meanwhile, optimal convergence rate under H1 norm is also obtainted for nested iteration multigrid method.
In this paper, we develop the cascadic multigrid method for parabolic problems. The optimal convergence accuracy and computation complexity are obtained.
In this paper, we develop the cascadic multigrid method for parabolic problems. The optimal convergence accuracy and computation complexity are obtained.
Correction methods for the steady semi-periodic motion of incompressible fluid are investigated. The idea is similar to the influence matrix to solve the lack of vorticity boundary conditions. For any given boundary...
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Correction methods for the steady semi-periodic motion of incompressible
fluid are investigated. The idea is similar to the influence matrix to solve the
lack of vorticity boundary conditions. For any given boundary condition of the
vorticity, the coupled vorticity-stream function formulation is solved. Then solve
the governing equations with the correction boundary conditions to improve the
solution. These equations are numerically solved by Fourier series truncation and
finite difference method. The two numerical techniques are employed to treat the non-
linear terms. The first method for small Reynolds number R equals 0-50 has the same
results as that in M. Anwar and S.C.R. Dennis' report. The second one for R greater
than 50 obtains the reliable results. (Author abstract) 4 Refs.
In this paper, the elastic contact problems in which no friction is present andtheir linear finite element approximation have been considered. First the elasticcontact problems are classified intuitively according to ...
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In this paper, the elastic contact problems in which no friction is present andtheir linear finite element approximation have been considered. First the elasticcontact problems are classified intuitively according to the different location ofcontact boundary, and for one cases a new proof of existence of the solution ofproblem has been presented. Next a general error estimation of linear finite elementapproximation to the contact problem has been obtained under weaker assumptionfor the regularity of the solution of problem.
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