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 …

There is increasing interest in the material point method (MPM) as a means of modelling
solid mechanics problems in which very large deformations occur, eg in the study of …

This work extends an automatic energy-norm h p-adaptive strategy based on performing
quasi-optimal unrefinements to the case of non-elliptic problems and goal-oriented …

This work proposes a guaranteed error estimator for linear transient elastodynamics,
accounting for both time and space discretization errors. The key lies in the definition of a …

In goal‐oriented adaptivity, the error in the quantity of interest is represented using the error
functions of the direct and adjoint problems. This error representation is subsequently …

This paper presents in a unified framework the most representative state-of-the-art
techniques on a posteriori error assessment for second order hyperbolic problems, ie …

This article presents a new approach to assess the error in specific quantities of interest in
the framework of linear elastodynamics. In particular, a new type of quantities of interest …

This article is a review on 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 recent years, the Finite Element Method (FEM) has gained significant popularity as one of
the most extensively utilized numerical techniques in computational mechanics and civil …

This paper aims to present a model verification technique for general numerical
computations of linear second-order systems. Strict upper and lower bounds on quantities of …