This paper deals with the numerical resolution of elliptic problems in unbounded domains
using inverted finite elements. In opposition to conventional approaches which are based on …

The primary aim of this paper is the derivation and a proof of a simple and tractable formula
for the stray field energy in micromagnetic problems. The formula is based on an expansion …

This paper is the second in a series devoted to the development of inverted finite element
method for elliptic problems in unbounded domains. Here, focus is on degenerate elliptic …

We give a constructive proof of some functional inequalities related to the div and curl
operators in bounded and unbounded domains of R^ 3 R 3. Our new innovation consists in …

We propose a new spectral method for solving multi-dimensional second order elliptic
equations with varying coefficients in the whole space. This method employs an orthogonal …

L'objectif de ce travail est d'étudier la résolution numérique des problèmes elliptiques dans
des domaines non bornés en utilisant des éléments finis inversés. Contrairement aux …

J. Banasiak In this paper, we deal with spectral properties of a weighted Laplacian in the half‐
space when a Dirichlet or a Neumann boundary condition is imposed. After proving that the …