Results 11 to 20 of about 289 (157)
Numerical approximation of the Oseen system in polyhedral or polygonal domains
MSC Classification: 65N30 , 65N15We consider the Oseen system with nonhomogeneous Dirichlet boundary conditions, and its approximation by a finite element method (FEM).
Raymond, Jean-Pierre, Badra, Mehdi
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Finite‐difference method for parameterized singularly perturbed problem
Journal of Applied Mathematics, Volume 2004, Issue 3, Page 191-199, 2004., 2004 We study uniform finite‐difference method for solving first‐order singularly perturbed boundary value problem (BVP) depending on a parameter. Uniform error estimates in the discrete maximum norm are obtained for the numerical solution. Numerical results support the theoretical analysis.
G. M. Amiraliyev +2 more
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Numerical approximation of dynamic deformations of a thermoviscoelastic rod against an elastic obstacle [PDF]
, 2004 . In this paper we consider a hyperbolic-parabolic problem that models the longitudinal deformations of a thermoviscoelastic rod supported unilaterally by an elastic obstacle. The existence and uniqueness of a strong solution is shown.
Maria I.M. Copetti +2 more
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L∞‐error estimate for a system of elliptic quasivariational inequalities
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 24, Page 1547-1561, 2003., 2003 We deal with the numerical analysis of a system of elliptic quasivariational inequalities (QVIs). Under W2,p(Ω)‐regularity of the continuous solution, a quasi‐optimal L∞‐convergence of a piecewise linear finite element method is established, involving a monotone algorithm of Bensoussan‐Lions type and standard uniform error estimates known for elliptic ...
M. Boulbrachene, M. Haiour, S. Saadi
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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 53, Page 3385-3411, 2003., 2003 We study the hp version of three families of Eulerian‐Lagrangian mixed discontinuous finite element (MDFE) methods for the numerical solution of advection‐diffusion problems. These methods are based on a space‐time mixed formulation of the advection‐diffusion problems.
Hongsen Chen, Zhangxin Chen, Baoyan Li
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On the minimization of some nonconvex double obstacle problems
Journal of Applied Mathematics, Volume 2003, Issue 10, Page 535-551, 2003., 2003 We consider a nonconvex variational problem for which the set of admissible functions consists of all Lipschitz functions located between two fixed obstacles. It turns out that the value of the minimization problem at hand is equal to zero when the obstacles do not touch each other; otherwise, it might be positive.
A. Elfanni
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Variational analysis for simulating free‐surface flows in a porous medium
Journal of Applied Mathematics, Volume 2003, Issue 8, Page 377-396, 2003., 2003 A variational formulation has been developed to solve a parabolic partial differential equation describing free‐surface flows in a porous medium. The variational finite element method is used to obtain a discrete form of equations for a two‐dimensional domain.
Shabbir Ahmed, Charles Collins
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International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001 This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene +2 more
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Superconvergence of a finite element method for linear integro‐differential problems
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 5, Page 343-359, 2000., 2000 We introduce a new way of approximating initial condition to the semidiscrete finite element method for integro‐differential equations using any degree of elements. We obtain several superconvergence results for the error between the approximate solution and the Ritz‐Volterra projection of the exact solution. For k > 1, we obtain first order gain in Lp(
Do Y. Kwak, Sungyun Lee, Qian Li
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Superconvergence of finite element method for parabolic problem
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 8, Page 567-578, 2000., 2000 We study superconvergence of a semi‐discrete finite element scheme for parabolic problem. Our new scheme is based on introducing different approximation of initial condition. First, we give a superconvergence of uh − Rhu, then use a postprocessing to improve the accuracy to higher order.
Do Y. Kwak, Sungyun Lee, Qian Li
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