[HTML][HTML] Curvilinear mesh generation using a variational framework

M Turner, J Peiró, D Moxey - Computer-Aided Design, 2018 - Elsevier
We aim to tackle the challenge of generating unstructured high-order meshes of complex
three-dimensional bodies, which remains a significant bottleneck in the wider adoption of …

Numerical homogenization of the acoustic wave equations with a continuum of scales

H Owhadi, L Zhang - Computer Methods in Applied Mechanics and …, 2008 - Elsevier
In this paper, we consider numerical homogenization of acoustic wave equations with
heterogeneous coefficients, namely, when the bulk modulus and the density of the medium …

[HTML][HTML] NekMesh: An open-source high-order mesh generation framework

MD Green, KS Kirilov, M Turner, J Marcon… - Computer Physics …, 2024 - Elsevier
High-order spectral element simulations are now becoming increasingly popular within the
computational modelling community, as they offer the potential to deliver increased accuracy …

A variational framework for high-order mesh generation

M Turner, J Peiró, D Moxey - Procedia Engineering, 2016 - Elsevier
The generation of sufficiently high quality unstructured high-order meshes remains a
significant obstacle in the adoption of high-order methods. However, there is little consensus …

[HTML][HTML] Accelerating high-order mesh optimisation with an architecture-independent programming model

J Eichstädt, M Green, M Turner, J Peiró… - Computer Physics …, 2018 - Elsevier
Heterogeneous manycore performance-portable programming models and libraries, such
as Kokkos, have been developed to facilitate portability and maintainability of high …

Algorithm for mesh adaptation to a flow field with a bow shock wave

IV Voronich, NS Smirnova, VA Titarev - Computational Mathematics and …, 2024 - Springer
The generation of high-quality computational mesh plays an important role in high-accuracy
computation of supersonic flows over bodies. Priority is given to mesh adaptation to …

DELAUNAY: технологическая среда генерации сеток

ВП Ильин - Сибирский журнал индустриальной математики, 2013 - mathnet.ru
Рассматривается концепция технологической среды построения многомерных сеток
для решения задач математического моделирования в расчетных областях со сложной …

Finite difference methods

O Axelsson - Encyclopedia of Computational Mechanics …, 2017 - Wiley Online Library
It is shown how difference methods lead to monotone operators with uniformly bounded
inverses for which discretization error estimates for the solution and its derivatives can …

Integrated computational environment for grid generation parallel technologies

V Il'in - International Conference on Parallel Computational …, 2020 - Springer
This paper is devoted to the conception and general structure of the integrated
computational environment for constructing multi-dimensional large grids (with 10^ 10 …

Quasi-isometric surface parameterization

VA Garanzha - Applied numerical mathematics, 2005 - Elsevier
Parameterization of surface is defined by a one-to-one mapping from a planar domain to the
surface. Well established methods based on harmonic, conformal and quasi-conformal …