Composite Mesh Difference Methods for Elliptic Boundary Value Problems.
COMSOL modelling for a water infiltration problem in an unsaturated medium.
Contribution à la résolution numérique des équations de Laplace et de la chaleur
Convergence Near Plane Boundaries of Some Elliptic Difference Schemes.
Convergence of a Finite Difference Method for the Third BVP for Poisson's Equation
Convergence of a finite difference scheme for the third boundary-value problem.
Convergence of a lattice numerical method for a boundary-value problem with free boundary and nonlinear Neumann boundary conditions.
Convergence of a variational lagrangian scheme for a nonlinear drift diffusion equation
We study a Lagrangian numerical scheme for solution of a nonlinear drift diffusion equation on an interval. The discretization is based on the equation’s gradient flow structure with respect to the Wasserstein distance. The scheme inherits various properties from the continuous flow, like entropy monotonicity, mass preservation, metric contraction and minimum/ maximum principles. As the main result, we give a proof of convergence in the limit of vanishing mesh size under a CFL-type condition. We...
Convergence of Finite-difference Schemes for Poisson's Equation With Boundary Condition of the Third Kind