The solution of elliptic boundary value problems may have anisotropic behaviour in parts of
the domain. That means that the solution varies signicantly only in certain directions …

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 …

The edge based Galerkin finite element formulation is used as the basic building block for
the construction of multidimensional generalizations, on unstructured grids, of several higher …

The anisotropic error indicator presented in [M. Picasso, Comm. Numer. Methods Engrg., 19
(2003), pp. 13--23.] in the frame of the Laplace equation is extended to elliptic and parabolic …

This paper presents a mesh optimization methodology in three dimensions, MOM3D. An
initial mesh is continually adapted during the solution process without the need for global …

The issue of mesh quality for unstructured triangular and tetrahedral meshes is considered.
The theoretical background to finite element methods is used to understand the basis of …

Anisotropic features of the solution of flow problems are usually approximated on anisotropic
(large aspect ratio) meshes. This paper reviews stability results of several velocity–pressure …

One of the major problems in fluid–structure interaction using the arbitrary Lagrangian
Eulerian approach lies in the area of dynamic mesh generation. For accurate fluid-dynamic …

Following the description of a-posteriori error estimates in [1], this article describes an
automatic adaptive h-type mesh refinement and coarsening procedure with directional …

We introduce a new strategy for controlling the use of anisotropic mesh refinement based
upon the gradients of an a posteriori approximation of the error in a computed finite element …