Adaptive mixed hybrid and macro-hybrid finite element methods.
Adaptivity and variational stabilization for convection-diffusion equations
In this paper we propose and analyze stable variational formulations for convection diffusion problems starting from concepts introduced by Sangalli. We derive efficient and reliable a posteriori error estimators that are based on these formulations. The analysis of resulting adaptive solution concepts, when specialized to the setting suggested by Sangalli’s work, reveals partly unexpected phenomena related to the specific nature of the norms induced by the variational formulation. Several remedies,...
Adaptivity and variational stabilization for convection-diffusion equations∗
In this paper we propose and analyze stable variational formulations for convection diffusion problems starting from concepts introduced by Sangalli. We derive efficient and reliable a posteriori error estimators that are based on these formulations. The analysis of resulting adaptive solution concepts, when specialized to the setting suggested by Sangalli’s work, reveals partly unexpected phenomena related to the specific nature of the norms induced by the variational formulation. Several remedies,...
Addendum to the paper “Numerical solution of second-order equations on plane domains”
Additive Schwarz methods for the p-version finite element method.
Advances techniques for the direct, numerical solution of Poisson's equation
Advancing analysis capabilities in ANSYS through solver technology.
Alcune applicazioni della Teoria di Morse a problemi di tipo ellittico
Alcuni risultati di teoria spettrale per l'operatore di Laplace in regioni non limitate con frontiera non regolare
Algebraic Fermi curves
Algebraic Multi Level Preconditioning Methods. I.
Algebraic sum of unbounded normal operators and the square root problem of Kato
Allgemeine Darstellungssätze bei einer Klasse partieller Differentialgleichungen gerader Ordnung.
Almost everywhere summability of eigenfunction expansions associated to elliptic operators
Almost product structures and Monge-Ampère equations.
Almost-Everywhere Regularity Results for Solutions of Non Linear Elliptic Systems.
Alternative de Fredholm relative au problème de Dirichlet dans un polyèdre
𝒞1,β regularity for Dirichlet problems associated to fully nonlinear degenerate elliptic equations
We prove Hölder regularity of the gradient, up to the boundary for solutions of some fully-nonlinear, degenerate elliptic equations, with degeneracy coming from the gradient.
An abstract version of the concentration compactness principle.
We prove an abstract version of concentration compactness principle in Hilbert space and show its applications to a range of elliptic problems on unbounded domains.
An accurate solution of the Poisson equation by the Legendre tau method.