Computational methods to approximate the solution of differential equations play a crucial
role in science, engineering, mathematics, and technology. Indeed, the key processes which …

This article describes a method for efficiently computing parallel transport of tangent vectors
on curved surfaces, or more generally, any vector-valued data on a curved manifold. More …

We present an isogeometric boundary element method (IGABEM) capable of delivering
accurate and efficient solutions in the heat transfer analysis of 2D coated structures such as …

This paper is devoted to the construction and analysis of the finite element approximations
for the H(D) convection-diffusion problems, where D can be chosen as grad, curl, or div in …

In this paper we discretize the incompressible Navier–Stokes equations in the framework of
finite element exterior calculus. We make use of the Lamb identity to rewrite the equations …

In this paper, we present several new a posteriori error estimators and two adaptive mixed
finite element methods AMFEM1 and AMFEM2 for the Hodge Laplacian problem in finite …

We present a priori and superconvergence error estimates of mixed finite element methods
for the pseudostress-velocity formulation of the Oseen equation. In particular, we derive …

Les complexes différentiels discrets ont récemment attiré l'attention des numériciens en
raison des nombreux avantages qu'ils offrent pour la discrétisation des équations aux …

We present a priori and superconvergence error estimates of mixed finite element methods
for the pseudostress-velocity formulation of the Oseen equation. In particular, we derive …

We presents a priori and superconvergence error estimates of mixed finite element methods
for the pseudostress-velocity formulation of the Oseen equation. In particular, we derive …