Error estimates of a linear approximation scheme for nonlinear diffusion problems.
Error estimates of a numerical method for a class of nonlinear evolution equations
Error estimates of an iterative method for a quasistatic elastic-visco-plastic problem
This paper deals with an initial and boundary value problem describing the quasistatic evolution of rate-type viscoplastic materials. Using a fixed point property, an iterative method in the study of this problem is proposed. A concrete algorithm as well as some numerical results in the one-dimensional case are also presented.
Error estimation of pseudospectral method for solving the barotropic vorticity equation.
Error of the two-step BDF for the incompressible Navier-Stokes problem
The incompressible Navier-Stokes problem is discretized in time by the two-step backward differentiation formula. Error estimates are proved under feasible assumptions on the regularity of the exact solution avoiding hardly fulfillable compatibility conditions. Whereas the time-weighted velocity error is of optimal second order, the time-weighted error in the pressure is of first order. Suboptimal estimates are shown for a linearisation. The results cover both the two- and three-dimensional case....
Error of the two-step BDF for the incompressible Navier-Stokes problem
The incompressible Navier-Stokes problem is discretized in time by the two-step backward differentiation formula. Error estimates are proved under feasible assumptions on the regularity of the exact solution avoiding hardly fulfillable compatibility conditions. Whereas the time-weighted velocity error is of optimal second order, the time-weighted error in the pressure is of first order. Suboptimal estimates are shown for a linearisation. The results cover both the two- and three-dimensional...
Estimates Near Discontinuities for Some Difference Schemes.
Estimates of deviations from exact solutions of initial-boundary value problem for the heat equation
The paper is concerned with deriving functionals that give upper bounds of the difference between the exact solution of the initial-boundary value problem for the heat equation and any admissible function from the functional class naturally associated with this problem. These bounds are given by nonegative functionals called deviation majorants, which vanish only if the function and exact solution coincide. The deviation majorants pose a new type of a posteriori estimates that can be used in numerical...
Estimation of a temporally and spatially varying diffusion coefficinet in a parabolic system by an augmented Lagrangian technique.
Estimation of discontinuous parameters in general nonautonomous parabolic systems
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude numérique des oscillations des systèmes semi-linéaires
Étude numérique des pôles de résonance associés à la diffraction d'ondes acoustiques et élastiques par un obstacle en dimension 2
Euler characteristic Galerkin scheme with recovery
Evolution of fluid-fluid interface in porous media as the model of gas-oil fields.
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.
Exact boundary controllability of Galerkin's approximations of Navier-Stokes equations
Existence and Approximation of Solutions of Non-Linear Elliptic Equations.
Existence and asymptotic stability for viscoelastic problems with nonlocal boundary dissipation
We consider the damped semilinear viscoelastic wave equation with nonlocal boundary dissipation. The existence of global solutions is proved by means of the Faedo-Galerkin method and the uniform decay rate of the energy is obtained by following the perturbed energy method provided that the kernel of the memory decays exponentially.
Existence and uniqueness of generalized solutions to a telegraph equation with an integral boundary condition via Galerkin's method.