Finite element approximations of the von Kármán equations
Finite Element Convergence for Singular Data.
Finite element convergence for the Darwin model to Maxwell's equations
Finite element derivative interpolation recovery technique and superconvergence
A new finite element derivative recovery technique is proposed by using the polynomial interpolation method. We show that the recovered derivatives possess superconvergence on the recovery domain and ultraconvergence at the interior mesh points for finite element approximations to elliptic boundary problems. Compared with the well-known Z-Z patch recovery technique, the advantage of our method is that it gives an explicit recovery formula and possesses the ultraconvergence for the odd-order finite...
Finite element discretization of Darcy's equations with pressure dependent porosity
We consider the flow of a viscous incompressible fluid through a rigid homogeneous porous medium. The permeability of the medium depends on the pressure, so that the model is nonlinear. We propose a finite element discretization of this problem and, in the case where the dependence on the pressure is bounded from above and below, we prove its convergence to the solution and propose an algorithm to solve the discrete system. In the case where the dependence on the pressure is exponential, we propose...
Finite element discretization of the Kuramoto-Sivashinsky equation
We analyze semidiscrete and second-order in time fully discrete finite element methods for the Kuramoto-Sivashinsky equation.
Finite element error analysis for state-constrained optimal control of the Stokes equations
Finite Element Error Estimates for Non-Linear Elliptic Equations of Monotone Type.
Finite element estimates for a class of nonlinear variational inequalities.
Finite element in modeling of flow in porous media: How to describe wells.
Finite element investigations for the construction of composite solutions of even-parity transport equation.
Finite element least-squares methods for a compressible Stokes system.
Finite element methods for elliptic mixed boundary value problems containing singularities
Finite element methods for linear coupled thermoelasticity
Finite element methods for nonlinear parabolic equations
Finite Element Methods for Nonlinear Shell Analysis.
Finite element methods for solving the stationary Stokes and Navier-Stokes equations
Finite Element Methods for Symmetric Hyperbolic Equations.
Finite element methods for the transport equation
Finite element methods on non-conforming grids by penalizing the matching constraint
The present paper deals with a finite element approximation of partial differential equations when the domain is decomposed into sub-domains which are meshed independently. The method we obtain is never conforming because the continuity constraints on the boundary of the sub-domains are not imposed strongly but only penalized. We derive a selection rule for the penalty parameter which ensures a quasi-optimal convergence.