Error estimation and control are critical ingredients for improving the reliability of
computational simulations. Adjoint-based techniques can be used to both estimate the error …

In the context of scientific computing, the mesh is used as a discrete support for the
considered numerical methods. As a consequence, the mesh greatly impacts the efficiency …

This is a short presentation of the freefem++ software. In Section 1, we recall most of the
characteristics of the software, In Section 2, we recall how to to build the weak form of a …

This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

Unstructured mesh adaptation is now widely used in numerical simulations to improve the
accuracy of the solutions as well as to capture the behavior of physical phenomena. In this …

In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe
orientation, density, and stretching of anisotropic meshes. But, such structures are only …

An anisotropic, unstructured grid adaptive method is presented for improving the accuracy of
functional outputs of viscous, compressible flow simulations for general discretizations. The …

▪ Abstract An overview of the current state of the art in unstructured mesh techniques for
computational fluid dynamics is given. The topics of mesh generation and adaptation, spatial …

A method for optimising a pre-existing mesh of tetrahedral finite elements is described. It is
based on a series of mesh connectivity and node position searches of the landscape …

The present paper is the lead article in a three‐part series on anisotropic mesh adaptation
and its applications to structured and unstructured meshes. A flexible approach is proposed …