Finite element methods for linear coupled thermoelasticity
Finite element methods for nonlinear parabolic 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.
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.
Finite element solution of a nonlinear diffusion problem with a moving boundary
Finite element solution of a nonlinear diffusion problem with a moving boundary
Finite element solution of a stationary heat conduction equation with the radiation boundary condition
In this paper we present a weak formulation of a two-dimensional stationary heat conduction problem with the radiation boundary condition. The problem can be described by an operator which is monotone on the convex set of admissible functions. The relation between classical and weak solutions as well as the convergence of the finite element method to the weak solution in the norm of the Sobolev space are examined.
Finite Element Solution of Diffusion Problems with Irregular Data.
Finite element solution of Navier-Stokes equations in shallow domains
Finite element solution of nonlinear elliptic equations with discontinuous coefficients and approximations in Sobolev-Slobodeckij spaces
Finite Element Solution of Nonlinear Elliptic Problems.
Finite element solution of quasistationary nonlinear magnetic field
Finite element solution of the fundamental equations of semiconductor devices. II
In part I of the paper (see Zlámal [13]) finite element solutions of the nonstationary semiconductor equations were constructed. Two fully discrete schemes were proposed. One was nonlinear, the other partly linear. In this part of the paper we justify the nonlinear scheme. We consider the case of basic boundary conditions and of constant mobilities and prove that the scheme is unconditionally stable. Further, we show that the approximate solution, extended to the whole time interval as a piecewise...
Finite element solutions for radiation cooling problems with nonlinear boundary conditions
Finite element subspaces with optimal rates of convergence for the stationary Stokes problem
Finite Element Variational Crimes in Parabolic-Elliptic Problems. Part I. Nonlinear Schemes.
Finite elements and numerical stability
Finite Elements for Parabolic Equations Backwards in Time
Finite fractal dimension of pullback attractors and application to non-autonomous reaction diffusion equations.