The maximum principle is a basic qualitative property of the solution of second-order elliptic
boundary value problems. The preservation of the qualitative characteristics, such as the …

Heterogeneous anisotropic diffusion problems arise in the various areas of science and
engineering including plasma physics, petroleum engineering, and image processing …

In order to have reliable numerical simulations it is very important to preserve basic
qualitative properties of solutions of mathematical models by computed approximations. For …

A Delaunay-type mesh condition is developed for a linear finite element approximation of
two-dimensional anisotropic diffusion problems to satisfy a discrete maximum principle. The …

This paper derives some discrete maximum principles for P1-conforming finite element
approximations for quasi-linear second order elliptic equations. The results are extensions …

We consider the tensorial diffusion equation, and address the discrete maximum–minimum
principle of mixed finite element formulations. In particular, we address non-negative …

Through variational methods, the existence of positive solutions for a nonlinear parameter-
depending algebraic system is investigated. The main tools used are some very recent …

In this paper, we consider anisotropic diffusion with decay, which takes the form α (x) c (x)−
div [𝔻 (x) grad [c (x)]]= f (x) with decay coefficient α (x)⩾ 0, and diffusivity coefficient 𝔻 (x) to …

In this work, we present and discuss some continuous and discrete maximum principles for
linear elliptic problems of the second order with the third boundary condition (almost never …

The Mathematical Analysis of a Micro Scale Model for Lithium-Ion Batteries Page 1 The
Mathematical Analysis of a Micro Scale Model for Lithium-Ion Batteries Zur Erlangung des …