The mathematization of all sciences, the fading of traditional scientific boundaries, the
impact of computer technology, the growing importance of computer modelling and the …

A review on the recent advances of the flow and transport phenomena in tight and shale
formations is presented in this work. Exploration of oil and gas in resources that were once …

We consider nonlinear algebraic systems resulting from numerical discretizations of
nonlinear partial differential equations of diffusion type. To solve these systems, some …

This article is a review of basic concepts and tools devoted to a posteriori error estimation for
problems solved with the finite element method. For the sake of simplicity and clarity, we …

We consider the a posteriori error analysis of approximations of parabolic problems based
on arbitrarily high-order conforming Galerkin spatial discretizations and arbitrarily high-order …

We study extensions of piecewise polynomial data prescribed on faces and possibly in
elements of a patch of simplices sharing a vertex. In the $ H^ 1$ setting, we look for functions …

This paper derives a posteriori error estimates for conforming numerical approximations of
the Laplace eigenvalue problem with a homogeneous Dirichlet boundary condition. In …

The computational cost of parametric studies currently represents the major limitation to the
application of simulation-based engineering techniques in a daily industrial environment …

Given an arbitrary function in, we show that the error attained by the global-best
approximation by-conforming piecewise polynomial Raviart–Thomas–Nédélec elements …

A finite element-based image segmentation strategy enhanced by an anisotropic mesh
adaptation procedure is presented. The methodology relies on a split Bregman algorithm for …