Finite element method (English Wikipedia)

"SAP-IV Software and Manuals". NISEE e-Library, The Earthquake Engineering Online Archive. Archived from the original on 2013-03-09. Retrieved 2013-01-24.

books.google.com

Olek C Zienkiewicz; Robert L Taylor; J.Z. Zhu (31 August 2013). The Finite Element Method: Its Basis and Fundamentals. Butterworth-Heinemann. ISBN 978-0-08-095135-5.

cc.ac.cn

lsec.cc.ac.cn

"Spectral Element Methods". State Key Laboratory of Scientific and Engineering Computing. Archived from the original on 2017-08-10. Retrieved 2017-07-28.

coventivecomposites.com

"Finite Element Analysis: How to create a great model". Coventive Composites. 2019-03-18. Retrieved 2019-04-05.^{[permanent dead link]}

doi.org

Liu, Wing Kam; Li, Shaofan; Park, Harold S. (2022). "Eighty Years of the Finite Element Method: Birth, Evolution, and Future". Archives of Computational Methods in Engineering. 29 (6): 4431–4453. arXiv:2107.04960. doi:10.1007/s11831-022-09740-9. ISSN 1134-3060. S2CID 235794921.
Hrennikoff, Alexander (1941). "Solution of problems of elasticity by the framework method". Journal of Applied Mechanics. 8 (4): 169–175. Bibcode:1941JAM.....8A.169H. doi:10.1115/1.4009129.
Courant, R. (1943). "Variational methods for the solution of problems of equilibrium and vibrations". Bulletin of the American Mathematical Society. 49: 1–23. doi:10.1090/s0002-9904-1943-07818-4.
Hinton, Ernest; Irons, Bruce (July 1968). "Least squares smoothing of experimental data using finite elements". Strain. 4 (3): 24–27. doi:10.1111/j.1475-1305.1968.tb01368.x.
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André (2015-11-16). "CutFEM: Discretizing geometry and partial differential equations". International Journal for Numerical Methods in Engineering. 104 (7): 472–501. Bibcode:2015IJNME.104..472B. doi:10.1002/nme.4823. ISSN 0029-5981.
Babuška, Ivo; Banerjee, Uday; Osborn, John E. (June 2004). "Generalized Finite Element Methods: Main Ideas, Results, and Perspective". International Journal of Computational Methods. 1 (1): 67–103. doi:10.1142/S0219876204000083.
Song, Chongmin; Wolf, John P. (5 August 1997). "The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for elastodynamics". Computer Methods in Applied Mechanics and Engineering. 147 (3–4): 329–355. Bibcode:1997CMAME.147..329S. doi:10.1016/S0045-7825(97)00021-2.
Beirão da Veiga, L.; Brezzi, F.; Cangiani, A.; Manzini, G.; Marini, L. D.; Russo, A. (2013). "Basic principles of Virtual Element Methods". Mathematical Models and Methods in Applied Sciences. 23 (1): 199–214. doi:10.1142/S0218202512500492.
Topper, Jürgen (January 2005). "Option pricing with finite elements". Wilmott. 2005 (1): 84–90. doi:10.1002/wilm.42820050119 (inactive 2024-04-07). ISSN 1540-6962.{{cite journal}}: CS1 maint: DOI inactive as of April 2024 (link)
Prakash, A; Lebensohn, R A (2009-09-01). "Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms". Modelling and Simulation in Materials Science and Engineering. 17 (6): 064010. Bibcode:2009MSMSE..17f4010P. doi:10.1088/0965-0393/17/6/064010. ISSN 0965-0393.
Cruzado, A; Segurado, J; Hartl, D J; Benzerga, A A (2021-06-01). "A variational fast Fourier transform method for phase-transforming materials". Modelling and Simulation in Materials Science and Engineering. 29 (4): 045001. Bibcode:2021MSMSE..29d5001C. doi:10.1088/1361-651X/abe4c7. ISSN 0965-0393.
Gierden, Christian; Kochmann, Julian; Waimann, Johanna; Svendsen, Bob; Reese, Stefanie (2022-10-01). "A Review of FE-FFT-Based Two-Scale Methods for Computational Modeling of Microstructure Evolution and Macroscopic Material Behavior". Archives of Computational Methods in Engineering. 29 (6): 4115–4135. doi:10.1007/s11831-022-09735-6. ISSN 1886-1784.
Zeman, J.; de Geus, T. W. J.; Vondřejc, J.; Peerlings, R. H. J.; Geers, M. G. D. (2017-09-07). "A finite element perspective on nonlinear FFT-based micromechanical simulations: A FINITE ELEMENT PERSPECTIVE ON NONLINEAR FFT-BASED SIMULATIONS". International Journal for Numerical Methods in Engineering. 111 (10): 903–926. arXiv:1601.05970. doi:10.1002/nme.5481.
Naghibi Beidokhti, Hamid; Janssen, Dennis; Khoshgoftar, Mehdi; Sprengers, Andre; Perdahcioglu, Emin Semih; Boogaard, Ton Van den; Verdonschot, Nico (2016). "A comparison between dynamic implicit and explicit finite element simulations of the native knee joint" (PDF). Medical Engineering & Physics. 38 (10): 1123–1130. doi:10.1016/j.medengphy.2016.06.001. PMID 27349493. Archived (PDF) from the original on 2018-07-19. Retrieved 2019-09-19.
Peng Long; Wang Jinliang; Zhu Qiding (19 May 1995). "Methods with high accuracy for finite element probability computing". Journal of Computational and Applied Mathematics. 59 (2): 181–189. doi:10.1016/0377-0427(94)00027-X.

dx.doi.org

Topper, Jürgen (January 2005). "Option pricing with finite elements". Wilmott. 2005 (1): 84–90. doi:10.1002/wilm.42820050119 (inactive 2024-04-07). ISSN 1540-6962.{{cite journal}}: CS1 maint: DOI inactive as of April 2024 (link)

ecmiindmath.org

celledoni (2023-02-27). "CutFEM: Discretizing Partial Differential Equations and Geometry". ECMI. Retrieved 2023-10-13.

hal.science

Ma, X; Parvathaneni, K; Lomov, S; Vasiukov, D; Shakoor, M; Park, C (December 2019). "Quantitative comparison between fast fourier transform and finite element method for micromechanical modeling of composite". FiBreMoD Conference.

harvard.edu

ui.adsabs.harvard.edu

Hrennikoff, Alexander (1941). "Solution of problems of elasticity by the framework method". Journal of Applied Mechanics. 8 (4): 169–175. Bibcode:1941JAM.....8A.169H. doi:10.1115/1.4009129.
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André (2015-11-16). "CutFEM: Discretizing geometry and partial differential equations". International Journal for Numerical Methods in Engineering. 104 (7): 472–501. Bibcode:2015IJNME.104..472B. doi:10.1002/nme.4823. ISSN 0029-5981.
Song, Chongmin; Wolf, John P. (5 August 1997). "The scaled boundary finite-element method – alias consistent infinitesimal finite-element cell method – for elastodynamics". Computer Methods in Applied Mechanics and Engineering. 147 (3–4): 329–355. Bibcode:1997CMAME.147..329S. doi:10.1016/S0045-7825(97)00021-2.
Prakash, A; Lebensohn, R A (2009-09-01). "Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms". Modelling and Simulation in Materials Science and Engineering. 17 (6): 064010. Bibcode:2009MSMSE..17f4010P. doi:10.1088/0965-0393/17/6/064010. ISSN 0965-0393.
Cruzado, A; Segurado, J; Hartl, D J; Benzerga, A A (2021-06-01). "A variational fast Fourier transform method for phase-transforming materials". Modelling and Simulation in Materials Science and Engineering. 29 (4): 045001. Bibcode:2021MSMSE..29d5001C. doi:10.1088/1361-651X/abe4c7. ISSN 0965-0393.

iop.org

iopscience.iop.org

Prakash, A; Lebensohn, R A (2009-09-01). "Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms". Modelling and Simulation in Materials Science and Engineering. 17 (6): 064010. Bibcode:2009MSMSE..17f4010P. doi:10.1088/0965-0393/17/6/064010. ISSN 0965-0393.
Cruzado, A; Segurado, J; Hartl, D J; Benzerga, A A (2021-06-01). "A variational fast Fourier transform method for phase-transforming materials". Modelling and Simulation in Materials Science and Engineering. 29 (4): 045001. Bibcode:2021MSMSE..29d5001C. doi:10.1088/1361-651X/abe4c7. ISSN 0965-0393.

machinedesign.com

"What's The Difference Between FEM, FDM, and FVM?". Machine Design. 2016-04-18. Archived from the original on 2017-07-28. Retrieved 2017-07-28.

mclaren.com

McLaren-Mercedes (2006). "McLaren Mercedes: Feature - Stress to impress". Archived from the original on 2006-10-30. Retrieved 2006-10-03.

nih.gov

pubmed.ncbi.nlm.nih.gov

Naghibi Beidokhti, Hamid; Janssen, Dennis; Khoshgoftar, Mehdi; Sprengers, Andre; Perdahcioglu, Emin Semih; Boogaard, Ton Van den; Verdonschot, Nico (2016). "A comparison between dynamic implicit and explicit finite element simulations of the native knee joint" (PDF). Medical Engineering & Physics. 38 (10): 1123–1130. doi:10.1016/j.medengphy.2016.06.001. PMID 27349493. Archived (PDF) from the original on 2018-07-19. Retrieved 2019-09-19.

nw.ru

emi.nw.ru

"СПб ЭМИ РАН". emi.nw.ru. Archived from the original on 30 September 2015. Retrieved 17 March 2018.

semanticscholar.org

api.semanticscholar.org

Liu, Wing Kam; Li, Shaofan; Park, Harold S. (2022). "Eighty Years of the Finite Element Method: Birth, Evolution, and Future". Archives of Computational Methods in Engineering. 29 (6): 4431–4453. arXiv:2107.04960. doi:10.1007/s11831-022-09740-9. ISSN 1134-3060. S2CID 235794921.

utwente.nl

ris.utwente.nl

Naghibi Beidokhti, Hamid; Janssen, Dennis; Khoshgoftar, Mehdi; Sprengers, Andre; Perdahcioglu, Emin Semih; Boogaard, Ton Van den; Verdonschot, Nico (2016). "A comparison between dynamic implicit and explicit finite element simulations of the native knee joint" (PDF). Medical Engineering & Physics. 38 (10): 1123–1130. doi:10.1016/j.medengphy.2016.06.001. PMID 27349493. Archived (PDF) from the original on 2018-07-19. Retrieved 2019-09-19.

web.archive.org

"СПб ЭМИ РАН". emi.nw.ru. Archived from the original on 30 September 2015. Retrieved 17 March 2018.
"SAP-IV Software and Manuals". NISEE e-Library, The Earthquake Engineering Online Archive. Archived from the original on 2013-03-09. Retrieved 2013-01-24.
"Spectral Element Methods". State Key Laboratory of Scientific and Engineering Computing. Archived from the original on 2017-08-10. Retrieved 2017-07-28.
"What's The Difference Between FEM, FDM, and FVM?". Machine Design. 2016-04-18. Archived from the original on 2017-07-28. Retrieved 2017-07-28.
Naghibi Beidokhti, Hamid; Janssen, Dennis; Khoshgoftar, Mehdi; Sprengers, Andre; Perdahcioglu, Emin Semih; Boogaard, Ton Van den; Verdonschot, Nico (2016). "A comparison between dynamic implicit and explicit finite element simulations of the native knee joint" (PDF). Medical Engineering & Physics. 38 (10): 1123–1130. doi:10.1016/j.medengphy.2016.06.001. PMID 27349493. Archived (PDF) from the original on 2018-07-19. Retrieved 2019-09-19.
McLaren-Mercedes (2006). "McLaren Mercedes: Feature - Stress to impress". Archived from the original on 2006-10-30. Retrieved 2006-10-03.

wiley.com

onlinelibrary.wiley.com

Zeman, J.; de Geus, T. W. J.; Vondřejc, J.; Peerlings, R. H. J.; Geers, M. G. D. (2017-09-07). "A finite element perspective on nonlinear FFT-based micromechanical simulations: A FINITE ELEMENT PERSPECTIVE ON NONLINEAR FFT-BASED SIMULATIONS". International Journal for Numerical Methods in Engineering. 111 (10): 903–926. arXiv:1601.05970. doi:10.1002/nme.5481.

worldcat.org

Liu, Wing Kam; Li, Shaofan; Park, Harold S. (2022). "Eighty Years of the Finite Element Method: Birth, Evolution, and Future". Archives of Computational Methods in Engineering. 29 (6): 4431–4453. arXiv:2107.04960. doi:10.1007/s11831-022-09740-9. ISSN 1134-3060. S2CID 235794921.
Burman, Erik; Claus, Susanne; Hansbo, Peter; Larson, Mats G.; Massing, André (2015-11-16). "CutFEM: Discretizing geometry and partial differential equations". International Journal for Numerical Methods in Engineering. 104 (7): 472–501. Bibcode:2015IJNME.104..472B. doi:10.1002/nme.4823. ISSN 0029-5981.
Topper, Jürgen (January 2005). "Option pricing with finite elements". Wilmott. 2005 (1): 84–90. doi:10.1002/wilm.42820050119 (inactive 2024-04-07). ISSN 1540-6962.{{cite journal}}: CS1 maint: DOI inactive as of April 2024 (link)
Prakash, A; Lebensohn, R A (2009-09-01). "Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms". Modelling and Simulation in Materials Science and Engineering. 17 (6): 064010. Bibcode:2009MSMSE..17f4010P. doi:10.1088/0965-0393/17/6/064010. ISSN 0965-0393.
Cruzado, A; Segurado, J; Hartl, D J; Benzerga, A A (2021-06-01). "A variational fast Fourier transform method for phase-transforming materials". Modelling and Simulation in Materials Science and Engineering. 29 (4): 045001. Bibcode:2021MSMSE..29d5001C. doi:10.1088/1361-651X/abe4c7. ISSN 0965-0393.
Gierden, Christian; Kochmann, Julian; Waimann, Johanna; Svendsen, Bob; Reese, Stefanie (2022-10-01). "A Review of FE-FFT-Based Two-Scale Methods for Computational Modeling of Microstructure Evolution and Macroscopic Material Behavior". Archives of Computational Methods in Engineering. 29 (6): 4115–4135. doi:10.1007/s11831-022-09735-6. ISSN 1886-1784.