CONSTRUCTION AND CONVERGENCE STUDY OF SCHEMES PRESERVING THE ELLIPTIC LOCAL MAXIMUM PRINCIPLE

In this paper, a variational formulation for the transport equation is proposed, and by introducing a positivity constraint combined with a penalization of the total variation of

We have adopted the Hohenberg-Kohn-Sham theory to express the exchange and correlation contributions in a local density appro- ximation, and made use of the extensive

This will include the derivation of non-equilibrium distribution function, field equations and non-linear source term, analysis of entropy density and entropy production and

These properties hold for weak solutions of quasilinear inequalities of p-Laplacian type, as well as for viscosity supersolutions of fully nonlinear equations of Isaacs type..

In the framework of split FEM [3, 4], we introduce approximations of the mass matrices in the metric equations resulting in a structure-preserving discretization of the split

The theory of locally Feller processes is applied to L´ evy-type processes in order to obtain convergence results on discrete and continuous time indexed processes, simulation

(vi) Localization of critical point [16]: here we will explain how to use our main result to study the star-shapedness property of the level sets of solutions to various p.d.e.. in

7.1] (dualized) we reduce to where T is a single finitely-generated free Ox -module, in which case the assertion is obvious since by §1, LAzP = AzP for any quasi-coherent flat