On chaos in difference and differential-difference equations
On construction of the coarse space in the BDDC method
On domain decomposition methods for optimal control problems
In this note, we introduce a new approach to study overlapping domain decomposition methods for optimal control systems governed by partial differential equations. The model considered in our paper is systems governed by wave equations. Our technique could be used for several other equations as well.
On finite element procedures of high order accuracy for parabolic equations
On formulation and solvability of boundary value problems for viscous incompressible fluids in domains with non-compact boundaries
On Lagrange multipliers of trust-region subproblems
On limit-point and separation criteria for linear differential expressions
On linear problems in the space BV
On lower-semicontinuity of variational integrals
On mathematical modelling of gust response using the finite element method
In this paper the numerical approximation of aeroelastic response to sudden gust is presented. The fully coupled formulation of two dimensional incompressible viscous fluid flow over a flexibly supported structure is used. The flow is modelled with the system of Navier-Stokes equations written in Arbitrary Lagrangian-Eulerian form and coupled with system of ordinary differential equations describing the airfoil vibrations with two degrees of freedom. The Navier-Stokes equations are spatially discretized...
On nonlinear elliptic equations in infinite cylinders
On one system of nonlinear equations
On properties of spectral approximations
On regularity of solutions to some problems of mathematical physics
On simplicial red refinement in three and higher dimensions
We show that in dimensions higher than two, the popular "red refinement" technique, commonly used for simplicial mesh refinements and adaptivity in the finite element analysis and practice, never yields subsimplices which are all acute even for an acute father element as opposed to the two-dimensional case. In the three-dimensional case we prove that there exists only one tetrahedron that can be partitioned by red refinement into eight congruent subtetrahedra that are all similar to the original...
On some boundary value problems for systems of nonlinear ordinary differential equations
On some inverse problems for partial differential equations
On some problems of the theory of the difference schemes
On some recent results on the numerical problems in semiconductor device simulation
On some semilinear Volterra diffusion equations arising in ecology