In this paper, we present a new optimal interpolation error estimate in $ L^ p $ norm ($1\leq
p\leq\infty $) for finite element simplicial meshes in any spatial dimension. A sufficient …

Research into the use of unstructured mesh methods in oceanography has been growing
steadily over the past decade. The advantages of this approach for domain representation …

Exploring new variations of classical methods as well as recent approaches appearing in
the field, Computational Fluid Dynamics demonstrates the extensive use of numerical …

This paper discusses the contribution of mesh adaptation to high‐order convergence of
unsteady multi‐fluid flow simulations on complex geometries. The mesh adaptation relies on …

We present a robust unstructured tetrahedral mesh generation technology. This technology
is a combination of boundary discretization methods, an advancing front technique and a …

Hessian recovery has been commonly used in mesh adaptation for obtaining the required
magnitude and direction information of the solution error. Unfortunately, a recovered …

The p-norm often used in stress constrained topology optimisation supposedly mimics a
delta function and it is thus characterised by a small length scale and ideally one would also …

Anisotropic mesh adaptation has been used to accelerate computation in several
engineering fields, and we show that it can also be used for topology optimization. We use a …

On a discrete Hessian recovery for P1 finite elements Page 1 J. Numer. Math., Vol. 10, No. 1,
pp. 1–12 (2002) c VSP 2002 On a discrete Hessian recovery for P1 finite elements A …

Mesh adaptation is a powerful way to minimise the computational cost of mesh based
computation. It is particularly successful for multi-scale problems where the required mesh …