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 …

Numerical transient thermal analysis of a part during the selective laser melting process is a
great challenge due to huge computational cost. An efficient simulation scheme is proposed …

Laser powder bed fusion (LPBF) additive manufacturing (AM) broadens the horizons of
design in academia and industry. However, LPBF contends with challenges like residual …

In this work, we bridge standard Adaptive Mesh Refinement and coarsening (AMR) on
scalable octree background meshes and robust unfitted Finite Element (FE) formulations for …

Adjoint-based error estimation provides the ability to approximate the discretization error for
a functional quantity of interest, such as point-wise displacements or stresses. Mesh …

We develop a goal-oriented finite element method for a class of micromorphic hyperelasticity
problems, where size effects are taken into account by an enriched kinematics. Upon …

The present work proposes a computational approach that recovers full finite element error
fields from a small number of estimates of errors in scalar quantities of interest. The …

Selective laser melting (SLM) is a commonly used powder bed fusion (PBF) additive
manufacturing (AM) process that fabricates a part through layer-wised method. Due to its …

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 finite element simulations, not all of the data are of equal importance. In fact, the primary
purpose of a numerical study is often to accurately assess only one or two engineering …