Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence
Some geometric aspects of Sobolev spaces
Some modifications of Sobolev spaces and non-linear boundary value problems
Some new methods for numerical solution of initial value problems
Some problems concerning the functional differential equations
Some problems in neutron transport theory
Some remarks on the asymptotic equivalence
Some remarks to numerical solution of the Euler and Navier-Stokes equation
Space-time adaptive -FEM: Methodology overview
We present a new class of self-adaptive higher-order finite element methods (-FEM) which are free of analytical error estimates and thus work equally well for virtually all PDE problems ranging from simple linear elliptic equations to complex time-dependent nonlinear multiphysics coupled problems. The methods do not contain any tuning parameters and work reliably with both low- and high-order finite elements. The methodology was used to solve various types of problems including thermoelasticity,...
Spatially nonhomogeneous pattern generated by homoclinic/equilibrium bifurcations
Special issue: Editorial
Special issue: Editorial [Czech and Slovak Twin Seminar in Applied Mathematics 2006]
Spectral theory of nonlinear operators
Spherically symmetric solutions to a model for interface motion by interface diffusion
The existence of spherically symmetric solutions is proved for a new phase-field model that describes the motion of an interface in an elastically deformable solid, here the motion is driven by configurational forces. The model is an elliptic-parabolic coupled system which consists of a linear elasticity system and a non-linear evolution equation of the order parameter. The non-linear equation is non-uniformly parabolic and is of fourth order. One typical application is sintering.
Stability and asymptotic properties of dynamical systems in the plane
Stability and averaging properties of stochastic evolution equations
Stability of stationary solutions of parabolic variational inequalities
Stability problems in mathematical theory of viscoelasticity
Stable, chaotic and optimal solutions of first order partial differential equations related with the cell kinetics
Stable periodic oscillations in systems with monotonous hysteresis nonlinearity