A discrete variational approach for investigation of stationary localized states in a discrete nonlinear Schrödinger equation, named IN-DNLS.
A discreteness criterion for the spectrum of the Laplace--Beltrami operator on quasimodel manifolds.
A distributional solution to a hyperbolic problem arising in population dynamics.
A domain decomposition algorithm for elliptic problems in three dimensions.
A domain embedding method for Dirichlet problems in arbitrary space dimension
A domain splitting method for heat conduction problems in composite materials
A domain splitting method for heat conduction problems in composite materials
We consider a domain decomposition method for some unsteady heat conduction problem in composite structures. This linear model problem is obtained by homogenization of thin layers of fibres embedded into some standard material. For ease of presentation we consider the case of two space dimensions only. The set of finite element equations obtained by the backward Euler scheme is parallelized in a problem-oriented fashion by some noniterative overlapping domain splitting method, eventually enhanced...
A double complex related with a system of partial differential equations. II
A double complex related with a system of partial differential equations. I
A double eigenvalue problem for Schrödinger equations involving sublinear nonlinearities at infinity.
A double -shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions.
A doubly degenerate elliptic system
A dual mesh method for a nonlocal thermistor problem.
A duality principle for delay equations
A duality theorem for solutions of elliptic equations.
A Dynamic Frictionless Contact Problem with Adhesion and Damage
We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with...
A family of finite elements with optimal approximation properties for various Galerkin methods for 2nd and 4th order problems
A family of sixth-order compact finite-difference schemes for the three-dimensional Poisson equation.
A Fast Iterative Method for Solving Stationary Heat Conduction Problems on Regions Partitioned into Rectangles.
A fast solver for the first biharmonic boundary value problem.