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
Event-triggered static output feedback control of discrete time piecewise-affine systems
This paper is concerned with the problem of event-triggered output feedback control of discrete time piecewise-affine systems. Relying on system outputs, a piecewise-affine triggering condition is constructed to release communication burden. Resorting to piecewise Lyapunov functional and robust control techniques, sufficient conditions are built to ensure the closed-loop systems to be asymptotically stable with the prescribed performance. By utilizing a separation strategy, the static output...
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