関連リンク

Jean Garrigues courses (フランス語)

http://jean.garrigues.perso.centrale-marseille.fr

インターネット有限要素リソース

http://homepage.usask.ca/~ijm451/finite/fe_resources

MUMPS: MUltrifront Massively Parallel sparse 直接法ソルバー

http://graal.ens-lyon.fr/MUMPS/ か http://mumps.enseeiht.fr/

SuperLu: 高性能コンピュータ上での疎なGauss消去

http://crd.lbl.gov/~xiaoye/SuperLU/ か http://www.cs.berkeley.edu/~demmel/SuperLU.html

GetFEMおよび/またはGmm++を使用する一部のプロジェクト

• IceTools: an open source model for glaciers.

• EChem++: A Problem Solving Environment for Electochemistry.

• SimNIBS: a software for the Simulation of Non-invasive Brain Stimulation.

GetFEMに基づく出版物の例

• Andreykiv A. and Rixen D.J., Numerical modelling of electromechanical coupling using fictitious domain and level set methods. Int. J. Numer. Meth. Engng 2009. www3.interscience.wiley.com.

• Chouly F., Mlika R. and Renard Y.. An unbiased Nitsche's formulation of large deformation frictional contact and self-contact. Comp. Meth. Appl. Mech. Engng., 325:265--288, 2017. hal.archives-ouvertes.fr.

• Fabre M., Pousin J. and Renard Y. A fictitious domain method for frictionless contact problems in elasticity using Nitsche's method. SMAI J. of Comput. Math., 2:19--50, 2016. hal.archives-ouvertes.fr.

• Poulios K., Renard Y. An unconstrained integral approximation of large sliding frictional contact between deformable solids. Computers and Structures, 153:75--90, 2015. hal.archives-ouvertes.fr.

• Poulios K., Niordson C.F., Homogenization of long fiber reinforced composites including fiber bending effects, Journal of the Mechanics and Physics of Solids, 94, 433-452, 2016. orbit.dtu.dk.

• Lozinguez E., Barthélémy J.-F., Bouteiller V. and Desbois T., Contribution of Sacrificial Anode in reinforced concrete patch repair: Results of numerical simulations. Construction and Building Materials, 178 (2018) 405–417. sciencedirect.com.

• Vtorushin E.V., Application of mixed finite element to spatially non-local model of inelastic deformations. Int. J. Geomath. 2016. link.springer.com.

• Windhoff M., Opitz A., and Thielscher A., Electric Field Calculations in Brain Stimulation Based on Finite Elements: An Optimized Processing Pipeline for the Generation and Usage of Accurate Individual Head Models. Human Brain Mapping, 34(4), 923-35, 2013. DOI: 10.1002/hbm.21479. onlinelibrary.wiley.com.

Gmm++の性能評価

Benchmark of C++ Libraries for Sparse Matrix Computation.