New development in FreeFem++

F Hecht - Journal of numerical mathematics, 2012 - degruyter.com
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 …

Anisotropic mesh adaptivity for multi-scale ocean modelling

MD Piggott, PE Farrell, CR Wilson… - … of the Royal …, 2009 - royalsocietypublishing.org
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 …

Unstructured mesh generation and adaptation

A Loseille - Handbook of Numerical Analysis, 2017 - Elsevier
We first describe the well-established unstructured mesh generation methods as involved in
the computational pipeline, from geometry definition to surface and volume mesh …

Conforming to interface structured adaptive mesh refinement: 3D algorithm and implementation

A Nagarajan, S Soghrati - Computational Mechanics, 2018 - Springer
A new non-iterative mesh generation algorithm named conforming to interface structured
adaptive mesh refinement (CISAMR) is introduced for creating 3D finite element models of …

A finite element method for second order nonvariational elliptic problems

O Lakkis, T Pryer - SIAM Journal on Scientific Computing, 2011 - SIAM
We propose a numerical method to approximate the solution of second order elliptic
problems in nonvariational form. The method is of Galerkin type using conforming finite …

A new anisotropic mesh adaptation method based upon hierarchical a posteriori error estimates

W Huang, L Kamenski, J Lang - Journal of Computational Physics, 2010 - Elsevier
A new anisotropic mesh adaptation strategy for finite element solution of elliptic differential
equations is presented. It generates anisotropic adaptive meshes as quasi-uniform ones in …

Very high order anisotropic metric-based mesh adaptation in 3D

O Coulaud, A Loseille - Procedia engineering, 2016 - Elsevier
In this paper, we study the extension of anisotropic metric-based mesh adaptation to the
case of very high-order solutions in 3D. This work is based on an extension of the …

Anisotropic mesh adaptation for high-order finite elements spaces with the log-simplex method. Application to discontinuous Galerkin methods

O Coulaud, A Loseille, P Schrooyen - Journal of Computational Physics, 2024 - Elsevier
In this article, a high-order solution-based mesh adaptation method is investigated. This
later, which is called the log-simplex method, relies on the approximation of high-order …

Numerical integration over implicitly defined domains for higher order unfitted finite element methods

MA Olshanskii, D Safin - Lobachevskii Journal of Mathematics, 2016 - Springer
The paper studies several approaches to numerical integration over a domain defined
implicitly by an indicator function such as the level set function. The integration methods are …

Anisotropic adaptive simulations in aerodynamics

A Loseille, R Lohner - 48th AIAA Aerospace Sciences Meeting Including …, 2010 - arc.aiaa.org
Capturing accurately and automatically the complexity of the whole flow around a complex
aircraft is still an unachieved goal in aerodynamics. Indeed, the various features of the flow …