The search session has expired. Please query the service again.
The search session has expired. Please query the service again.
Displaying 161 –
180 of
198
We consider the approximation of a class of
exponentially stable infinite dimensional linear systems modelling
the damped vibrations of one dimensional vibrating systems or of
square plates. It is by now well known that the approximating
systems obtained by usual finite element or finite difference are
not, in general, uniformly stable with respect to the discretization
parameter. Our main result shows that, by adding a suitable
numerical viscosity term in the numerical scheme, our approximations
are...
We consider a family of quadrilateral or hexahedral
mixed hp-finite elements for an incompressible
flow problem with Qr-elements for the velocity and
discontinuous -elements for the pressure where the order
r can vary from element to element
between 2 and an arbitrary bound.
For multilevel adaptive grids
with hanging nodes and a sufficiently small mesh size,
we prove the inf-sup condition uniformly with respect to the mesh
size and the polynomial degree.
The mathematical model of a beam on a unilateral elastic subsoil of Winkler's type and with free ends is considered. Such a problem is non-linear and semi-coercive. The additional assumptions on the beam load ensuring the problem solvability are formulated and the existence, the uniqueness of the solution and the continuous dependence on the data are proved. The cases for which the solutions need not be stable with respect to the small changes of the load are described. The problem is approximated...
Unique solvability and stability analysis is conducted for a generalized particle method for a Poisson equation with a source term given in divergence form. The generalized particle method is a numerical method for partial differential equations categorized into meshfree particle methods and generally indicates conventional particle methods such as smoothed particle hydrodynamics and moving particle semi-implicit methods. Unique solvability is derived for the generalized particle method for the...
The properties are studied of the best determined terms method with respect to an a priori decomposition . The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
A universal optimal in order approximation of a general functional in the space of continuous periodic functions is constructed and its fundamental properties and some generalizations are investigated. As an application the approximation of singular integrals is considered and illustrated by numerical results.
Currently displaying 161 –
180 of
198