Conservative interpolation between volume meshes by local Galerkin projection
PE Farrell, JR Maddison - Computer Methods in Applied Mechanics and …, 2011 - Elsevier
The problem of interpolating between discrete fields arises frequently in computational
physics. The obvious approach, consistent interpolation, has several drawbacks such as …
physics. The obvious approach, consistent interpolation, has several drawbacks such as …
A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes
F Alauzet - Computer Methods in Applied Mechanics and …, 2016 - Elsevier
This document presents an interpolation operator on unstructured tetrahedral meshes that
satisfies the properties of mass conservation, P 1-exactness (order 2) and maximum …
satisfies the properties of mass conservation, P 1-exactness (order 2) and maximum …
P1‐conservative solution interpolation on unstructured triangular meshes
F Alauzet, M Mehrenberger - International Journal for …, 2010 - Wiley Online Library
This paper presents an interpolation operator on unstructured triangular meshes that verifies
the properties of mass conservation, P1‐exactness (order 2), and maximum principle. This …
the properties of mass conservation, P1‐exactness (order 2), and maximum principle. This …
Dual formulations for the modeling of thin electromagnetic shells using edge elements
C Geuzaine, P Dular, W Legros - IEEE transactions on …, 2000 - ieeexplore.ieee.org
Dual magnetodynamic and magnetostatic finite element formulations taking thin conducting
magnetic shells into account are proposed. The abstraction of the thin region is performed …
magnetic shells into account are proposed. The abstraction of the thin region is performed …
[PDF][PDF] High order hybrid finite element schemes for Maxwell's equations taking thin structures and global quantities into account
C Geuzaine - 2001 - orbi.uliege.be
Computational electromagnetism deals with the mathematical modeling of electromagnetic
systems. Its purpose is not to establish physical theories, but to use these theories to …
systems. Its purpose is not to establish physical theories, but to use these theories to …
Mars entry trajectory planning using robust optimization and uncertainty quantification
X Jiang, S Li - Acta Astronautica, 2019 - Elsevier
Due to the existence of obvious uncertainties within Mars atmospheric entry, design and
analysis of the optimal trajectory under uncertainties play a significant role in reducing flight …
analysis of the optimal trajectory under uncertainties play a significant role in reducing flight …
A natural method for coupling magnetodynamic h-formulations and circuit equations
P Dular, C Geuzaine, W Legros - IEEE transactions on …, 1999 - ieeexplore.ieee.org
A method for defining electric global quantities, ie currents and voltages, in finite element
magnetodynamic H-formulations is presented. It makes use of edge finite elements, which …
magnetodynamic H-formulations is presented. It makes use of edge finite elements, which …
Prediction of multiphase flows with sharp interfaces using anisotropic mesh optimisation
We propose an integrated, parallelised modelling approach to solve complex multiphase
flow problems with sharp interfaces. This approach is based on a finite-element, double …
flow problems with sharp interfaces. This approach is based on a finite-element, double …
Spline-based solution transfer with potential applications for space–time methods in 2D+ t
This work introduces a new solution-transfer process for slab-based space–time finite
element methods. The new transfer process is based on Hsieh–Clough–Tocher (HCT) …
element methods. The new transfer process is based on Hsieh–Clough–Tocher (HCT) …
Correction of thin shell finite element magnetic models via a subproblem method
A subproblem finite-element method is developed for correcting the inaccuracies near
edges and corners inherent to thin shell models, for both magnetostatic and …
edges and corners inherent to thin shell models, for both magnetostatic and …