Équation de la chaleur et réflections multiples
Error analysis for spectral approximation of the Korteweg-de Vries equation
Error Estimates for a Semi-Explicit Numerical Scheme for Stefan-Type Problems.
Error estimates for Euler forward scheme related to two-phase Stefan problems
Error estimates for the Coupled Cluster method
The Coupled Cluster (CC) method is a widely used and highly successful high precision method for the solution of the stationary electronic Schrödinger equation, with its practical convergence properties being similar to that of a corresponding Galerkin (CI) scheme. This behaviour has for the discrete CC method been analyzed with respect to the discrete Galerkin solution (the “full-CI-limit”) in [Schneider, 2009]. Recently, we globalized the CC formulation to the full continuous space, giving a root...
Estimate of vegetation efficiency on reducing dust concentration produced by a surface coal mine
A new vegetative barrier can help to reduce dust concentration in a surface coal mine neighbourhood. The project reports about quantification of this effect. An air flow field is computed together with the dust transport driven by it using an in-house CFD solver. The 2D cuts of a real geometry of Bílina coal mine in north Bohemia are used. The vegetation is modelled as horizontally homogeneous porous medium which slows the air flow inside. An influence on turbulence and filtering the dust particles...
Estimation of a temporally and spatially varying diffusion coefficinet in a parabolic system by an augmented Lagrangian technique.
Estimation of the conductivity in the one-phase Stefan problem : numerical results
Étude d'un schéma aux différences finies pour la résolution numérique des équations de Navier-Stokes couplées à celle de la chaleur
Exact, approximate solutions and error bounds for coupled implicit systems of partial differential equations.
Existence et approximation de points selles pour certains problèmes non linéaires
Far from equilibrium steady states of 1D-Schrödinger–Poisson systems with quantum wells I
Finite difference discretization of the Kuramoto-Sivashinsky equation.
Finite difference discretization with variable mesh of the Schrodinger equation in a variable domain
Finite element approximation for a div-rot system with mixed boundary conditions in non-smooth plane domains
The authors examine a finite element method for the numerical approximation of the solution to a div-rot system with mixed boundary conditions in bounded plane domains with piecewise smooth boundary. The solvability of the system both in an infinite and finite dimensional formulation is proved. Piecewise linear element fields with pointwise boundary conditions are used and their approximation properties are studied. Numerical examples indicating the accuracy of the method are given.
Finite element approximation of a periodic Ginzburg-Landau model for type-II superconductors.
Finite element convergence for the Darwin model to Maxwell's equations
Finite element discretization of the Kuramoto-Sivashinsky equation
We analyze semidiscrete and second-order in time fully discrete finite element methods for the Kuramoto-Sivashinsky equation.
Finite element methods for the transport equation
Finite element modeling of wood structure
This work is focused on a weak solution of a coupled physical task of the microwave wood drying process with stress-strain effects and moisture/temperature dependency. Due to the well known weak solutions for the individual physical fields, the author concerns with the coupled stress-strain relation coupled with the moisture and temperature distributions. For the scale dependency the subgrid upscaling method was used. The solved region is assumed to be divided into discontinuous subregions according...