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 …

In this article, we address adaptive methods for isogeometric analysis based on local
refinement guided by recovery based a posteriori error estimates. Isogeometric analysis was …

This work presents an analysis methodology based on the use of the Finite Element Method
(FEM) nowadays considered one of the main numerical tools for solving Boundary Value …

The superconvergent patch recovery (SPR) technique is widely used in the evaluation of a
recovered stress field σ* from the finite element solution σfe. Several modifications of the …

A degree adaptive Hybridizable Discontinuous Galerkin (HDG) method for the solution of the
incompressible Navier–Stokes equations is presented. The key ingredient is an accurate …

SUMMARY A p‐adaptive hybridizable discontinuous Galerkin method for the solution of
wave problems is presented in a challenging engineering problem. Moreover, its …

Goal-oriented error estimates (GOEE) have become popular tools to quantify and control the
local error in quantities of interest (QoI), which are often more pertinent than local errors in …

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 …

The NURBS-enhanced finite element method (NEFEM) combined with a hybridisable
discontinuous Galerkin (HDG) approach is presented for the first time. The proposed …

This paper introduces a recovery-type error estimator yielding upper bounds of the error in
energy norm for linear elastic fracture mechanics problems solved using the extended finite …