Simulation of anisotropic motion by mean curvature -- comparison of phase field and sharp interface approaches.
Solving initial-boundary value problems for coupled systems of partial differential equations
Solving of heat shock on a hybrid system
Some -error estimates for semi-variational method applied to parabolic equations
Space-time discontinuous Galerkin method for the solution of fluid-structure interaction
The paper is concerned with the application of the space-time discontinuous Galerkin method (STDGM) to the numerical solution of the interaction of a compressible flow and an elastic structure. The flow is described by the system of compressible Navier-Stokes equations written in the conservative form. They are coupled with the dynamic elasticity system of equations describing the deformation of the elastic body, induced by the aerodynamical force on the interface between the gas and the elastic...
Stability of ALE discontinuous Galerkin method with Radau quadrature
We assume the nonlinear parabolic problem in a time dependent domain, where the evolution of the domain is described by a regular given mapping. The problem is discretized by the discontinuous Galerkin (DG) method modified by the right Radau quadrature in time with the aid of Arbitrary Lagrangian-Eulerian(ALE) formulation. The sketch of the proof of the stability of the method is shown.
Stability of ALE space-time discontinuous Galerkin method
We assume the heat equation in a time dependent domain, where the evolution of the domain is described by a given mapping. The problem is discretized by the discontinuous Galerkin (DG) method in space as well as in time with the aid of Arbitrary Lagrangian-Eulerian (ALE) method. The sketch of the proof of the stability of the method is shown.
Sur la méthode des éléments finis hybrides pour le problème biharmonique.
Sur l'approximation du problème de Dirichlet pour les opérateurs elliptiques d'ordre 2
Sur une famille biparamétrique de schémas des différences finies pour un système d'équations paraboliques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
Sur une méthode des différences finies pour une équation non linéaire différentielle fonctionnelle aux dérivées mixtes