Estimation de l'erreur d'interpolation d'Hermite dans IR".
Estimation de l'erreur sur le coefficient de la singularité de la solution d'un problème elliptique sur un ouvert avec coin
Estimation d'erreur optimale et de type superconvergence de la méthode des éléments finis pour un problème aux limites, dégénéré
Estimation of the Effect of Numerical Integration in Finite Element Eigenvalue Approximation.
Estimations d'erreur pour des éléments finis droits presque dégénérés
Étude de deux schémas numériques pour les équations de la thermoélasticité
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.
Existence de maillages optimaux dans les méthodes d'éléments finis
Expanded mixed finite element methods for linear second-order elliptic problems, I
Expanded mixed finite element methods for quasilinear second order elliptic problems, II
Explicit estimation of error constants appearing in non-conforming linear triangular finite element method
The non-conforming linear () triangular FEM can be viewed as a kind of the discontinuous Galerkin method, and is attractive in both the theoretical and practical purposes. Since various error constants must be quantitatively evaluated for its accurate a priori and a posteriori error estimates, we derive their theoretical upper bounds and some computational results. In particular, the Babuška-Aziz maximum angle condition is required just as in the case of the conforming triangle. Some applications...
Explicit finite element error estimates for nonhomogeneous Neumann problems
The paper develops an explicit a priori error estimate for finite element solution to nonhomogeneous Neumann problems. For this purpose, the hypercircle over finite element spaces is constructed and the explicit upper bound of the constant in the trace theorem is given. Numerical examples are shown in the final section, which implies the proposed error estimate has the convergence rate as .
Extrapolation Methods for Spline Collocation Solutions of Pseudodifferential Equations on Curves.
Finite difference approximation to the Cauchy problem for non-linear parabolic differential equations
Finite difference methods for coupled flow interaction transport models.
Finite element analysis of primal and dual variational formulations of semicoercive elliptic problems with nonhomogeneous obstacles on the boundary
The Poisson equation with non-homogeneous unilateral condition on the boundary is solved by means of finite elements. The primal variational problem is approximated on the basis of linear triangular elements, and -convergence is proved provided the exact solution is regular enough. For the dual problem piecewise linear divergence-free approximations are employed and -convergence proved for a regular solution. Some a posteriori error estimates are also presented.
Finite element approximation of a free boundary problem arising in the theory of liquid drops ans plasma physics
Finite element approximation of a model reaction - diffusion problem with a non-Lipschitz nonlinearity.
Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors.
Finite element approximation of nonlinear elliptic problems with discontinuous coefficients