Academic literature on the topic 'Multilevel Finite Element Method'
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Journal articles on the topic "Multilevel Finite Element Method"
Niekamp, R., and E. Stein. "The hierarchically graded multilevel finite element method." Computational Mechanics 27, no. 4 (April 7, 2001): 302–4. http://dx.doi.org/10.1007/s004660100242.
Full textHan, Xiaole, Yu Li, and Hehu Xie. "A Multilevel Correction Method for Steklov Eigenvalue Problem by Nonconforming Finite Element Methods." Numerical Mathematics: Theory, Methods and Applications 8, no. 3 (August 2015): 383–405. http://dx.doi.org/10.4208/nmtma.2015.m1334.
Full textZhang, Yamiao, Biwu Huang, Jiazhong Zhang, and Zexia Zhang. "A Multilevel Finite Element Variational Multiscale Method for Incompressible Navier-Stokes Equations Based on Two Local Gauss Integrations." Mathematical Problems in Engineering 2017 (2017): 1–13. http://dx.doi.org/10.1155/2017/4917054.
Full textHoppe, Ronald H. W., and Barbara Wohlmuth. "Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods." Applications of Mathematics 40, no. 3 (1995): 227–48. http://dx.doi.org/10.21136/am.1995.134292.
Full textHuang Junlong, 黄俊龙, and 余景景 Yu Jingjing. "Bioluminescence Tomography Based on Multilevel Adaptive Finite Element Method." Chinese Journal of Lasers 45, no. 6 (2018): 0607003. http://dx.doi.org/10.3788/cjl201845.0607003.
Full textAxelsson, O., and M. Larin. "An algebraic multilevel iteration method for finite element matrices." Journal of Computational and Applied Mathematics 89, no. 1 (March 1998): 135–53. http://dx.doi.org/10.1016/s0377-0427(97)00241-0.
Full textAkimov, Pavel A., Alexandr M. Belostosky, Marina L. Mozgaleva, Mojtaba Aslami, and Oleg A. Negrozov. "Correct Multilevel Discrete-Continual Finite Element Method of Structural Analysis." Advanced Materials Research 1040 (September 2014): 664–69. http://dx.doi.org/10.4028/www.scientific.net/amr.1040.664.
Full textAslami, Mojtaba, and Pavel A. Akimov. "Wavelet-based finite element method for multilevel local plate analysis." Thin-Walled Structures 98 (January 2016): 392–402. http://dx.doi.org/10.1016/j.tws.2015.10.011.
Full textXie, Hehu, and Tao Zhou. "A multilevel finite element method for Fredholm integral eigenvalue problems." Journal of Computational Physics 303 (December 2015): 173–84. http://dx.doi.org/10.1016/j.jcp.2015.09.043.
Full textLin, Qun, Hehu Xie, and Fei Xu. "Multilevel correction adaptive finite element method for semilinear elliptic equation." Applications of Mathematics 60, no. 5 (September 15, 2015): 527–50. http://dx.doi.org/10.1007/s10492-015-0110-x.
Full textDissertations / Theses on the topic "Multilevel Finite Element Method"
Jung, M., and U. Rüde. "Implicit extrapolation methods for multilevel finite element computations." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800516.
Full textNepomnyaschikh, Sergey V. "Optimal Multilevel Extension Operators." Universitätsbibliothek Chemnitz, 2005. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200500971.
Full textGreen, Seth. "Multilevel, subdivision-based, thin shell finite elements : development and an application to red blood cell modeling /." Thesis, Connect to this title online; UW restricted, 2003. http://hdl.handle.net/1773/7110.
Full textUnwin, Helena Juliette Thomasin. "Uncertainty quantification of engineering systems using the multilevel Monte Carlo method." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/277877.
Full textBängtsson, Erik. "Robust Preconditioners Based on the Finite Element Framework." Doctoral thesis, Uppsala universitet, Avdelningen för teknisk databehandling, 2007. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-7828.
Full textKarlsson, Christian. "A comparison of two multilevel Schur preconditioners for adaptive FEM." Thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-219939.
Full textAghabarati, Ali. "Multilevel and algebraic multigrid methods for the higher order finite element analysis of time harmonic Maxwell's equations." Thesis, McGill University, 2014. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=121485.
Full textLa méthode des éléments finis (FEM) appliquée à la dispersion des ondes et aux problèmes de champ de vecteurs quasi-statique dans le domaine fréquentiel mène à des systèmes d'équations linéaires rares, symétriques-complexes. Pour de grands problèmes ayant des géométries complexes, la plupart du temps et de la mémoire d'ordinateur utilisé par FEM va à la résolution de l'équation de la matrice. Les méthodes itératives de Krylov sont celles largement utilisées dans la résolution de grands systèmes creux. Elles dépendent fortement des préconditionnement qui accélèrent la convergence. Toutefois, l'application de préconditionnements conventionnels à l'opérateur "rot-rot" qui surgit en électromagnétisme vectoriel n'aboutit pas à des résultats satisfaisants et des techniques de préconditionnement spécialisés sont exigées.Cette thèse présente des techniques de préconditionnement efficaces multiniveau et multigrilles algébrique (AMG) pour l'analyse p-adaptative FEM. Dans la p-adaptation, des éléments finis de différents ordres polynomiaux sont présents dans le maillage et la matrice du système peut être structurée en blocs correspondant aux ordres des fonctions de base. Les nouveaux préconditionneurs sont basés sur un type d'inversion approximative à multiniveau p Schwarz (pMUS) du système structuré de bloc. Une correction à niveaux multiples en cycle V débute par l'application de Gauss-Seidel au niveau du bloc le plus élevé, suivi par le niveau inférieur, et ainsi de suite. De l'autre côté du V, des itérations de Gauss-Seidel sont appliquées en ordre inverse. Au bas du cycle se trouve le système d'ordre le plus bas, qui est habituellement résolu exactement avec un solveur direct. L'alternative proposée est d'utiliser l'espace auxiliaire de préconditionnement (ASP) au niveau le plus bas et de poursuivre le cycle en V vers le bas, d'abord en un ensemble d'auxiliaires, basé sur les espacements de nœuds, à travers une série de plus en plus petites de matrices générées par un multigrille algébrique (AMG). L'approche de grossissement algébrique est particulièrement utile aux problèmes ayant de fins détails géométriques, nécessitant une très grande maille dans laquelle la majeure partie des éléments restent à un niveau plus bas.En outre, pour des problèmes d'onde, la technique "décalé Laplace" est appliquée, dans laquelle une partie de l'algorithme ASP/AMG utilise une fréquence complexe perturbée. Une accélération de la convergence significative est atteinte. La performance des algorithmes de Krylov est davantage renforcée au cours du p-adaptation par l'incorporation d'une technique de déflation. Cette saillie fait dépasser hors du système préconditionné, les vecteurs propres correspondants aux plus petites valeurs propres. La construction du sous-espace de déflation est basée sur une estimation efficace des vecteurs propres à partir d'informations obtenues lors de la résolution du premier problème dans une séquence p-adaptatif. Des expériences numériques approfondies ont été effectuées et les résultats sont présentés à la fois aux problèmes d'onde et quasi-statiques. Les cas de test sont considérés comme compliqués à résoudre et les résultats numériques montrent la robustesse et l'efficacité des nouveaux préconditionnements. Les méthodes de Krylov de déflation préconditionnés par l'approche multiniveaux/ASP/AMG actuelle sont toujours considérablement plus rapides que les méthodes de référence et des accélérations allant jusqu'à 10 sont atteintes pour certains problèmes de test.
Marquez, Damian Jose Ignacio. "Multilevel acceleration of neutron transport calculations." Thesis, Atlanta, Ga. : Georgia Institute of Technology, 2007. http://hdl.handle.net/1853/19731.
Full textCommittee Chair: Stacey, Weston M.; Committee Co-Chair: de Oliveira, Cassiano R.E.; Committee Member: Hertel, Nolan; Committee Member: van Rooijen, Wilfred F.G.
Thess, M. "Parallel Multilevel Preconditioners for Problems of Thin Smooth Shells." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199801416.
Full textElfverson, Daniel. "Multiscale Methods and Uncertainty Quantification." Doctoral thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-262354.
Full textBooks on the topic "Multilevel Finite Element Method"
Oswald, Peter. Multilevel finite element approximation: Theory and applications. Stuttgart: Teubner, 1994.
Find full textDryja, Maksymilian. Multilevel additive methods for elliptic finite element problems. New York: Courant Institute of Mathematical Sciences, New York University, 1990.
Find full textMitchell, William F. Unified multilevel adaptive finite element methods for elliptic problems. Urbana, Ill: Dept. of Computer Science, University of Illinois at Urbana-Champaign, 1988.
Find full textB, James B., Riley Michael F, and Langley Research Center, eds. Structural optimization by generalized, multilevel decomposition. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1985.
Find full textMultilevel block factorization preconditioners: Matrix-based analysis and algorithms for solving finite element equations. New York: Springer, 2008.
Find full textOswald, Peter. Multilevel Finite Element Approximation. Wiesbaden: Vieweg+Teubner Verlag, 1994. http://dx.doi.org/10.1007/978-3-322-91215-2.
Full textLyu, Yongtao. Finite Element Method. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9.
Full textDhatt, Gouri, Gilbert Touzot, and Emmanuel Lefrançois. Finite Element Method. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118569764.
Full textLawrence, Taylor Richard, Nithiarasu Perumal, and Zhu J. Z, eds. The finite element method. 6th ed. Oxford: Elsevier/Butterworth-Heinemann, 2005.
Find full textPoceski, A. Mixed finite element method. Berlin: Springer-Verlag, 1991.
Find full textBook chapters on the topic "Multilevel Finite Element Method"
Thess, Michael. "Multilevel Preconditioners for Temporal-Difference Learning Methods Related to Recommendation Engines." In Advanced Finite Element Methods and Applications, 175–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-30316-6_8.
Full textAslam, M. Nauman, Jiazhong Zhang, Nannan Dang, and Riaz Ahmad. "Model Reduction on Approximate Inertial Manifolds for NS Equations through Multilevel Finite Element Method and Hierarchical Basis." In Nonlinear Systems and Complexity, 249–70. Cham: Springer International Publishing, 2012. http://dx.doi.org/10.1007/978-3-030-94301-1_11.
Full textLazarov, R. D., P. S. Vassilevski, and S. D. Margenov. "Solving elliptic problems by the domain decomposition method using preconditioning matrices derived by multilevel splittings of the finite element matrix." In Lecture Notes in Computer Science, 826–35. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/3-540-18991-2_47.
Full textBramble, James H. "Multilevel Methods in Finite Elements." In Multiscale Problems and Methods in Numerical Simulations, 97–151. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-540-39810-3_3.
Full textLyu, Yongtao. "Finite Element Analysis Using Triangular Element." In Finite Element Method, 93–118. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_5.
Full textLyu, Yongtao. "Finite Element Analysis Using Rectangular Element." In Finite Element Method, 119–57. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_6.
Full textLyu, Yongtao. "Finite Element Analysis Using Beam Element." In Finite Element Method, 65–92. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_4.
Full textLyu, Yongtao. "Finite Element Analysis Using Bar Element." In Finite Element Method, 45–63. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_3.
Full textOtsuru, Toru, Takeshi Okuzono, Noriko Okamoto, and Yusuke Naka. "Finite Element Method." In Computational Simulation in Architectural and Environmental Acoustics, 53–78. Tokyo: Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54454-8_3.
Full textKuna, Meinhard. "Finite Element Method." In Solid Mechanics and Its Applications, 153–92. Dordrecht: Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-6680-8_4.
Full textConference papers on the topic "Multilevel Finite Element Method"
Akimov, Pavel A., Alexandr M. Belostoskiy, Vladimir N. Sidorov, Marina L. Mozgaleva, and Oleg A. Negrozov. "Application of discrete-continual finite element method for global and local analysis of multilevel systems." In INTERNATIONAL CONFERENCE ON PHYSICAL MESOMECHANICS OF MULTILEVEL SYSTEMS 2014. AIP Publishing LLC, 2014. http://dx.doi.org/10.1063/1.4901473.
Full textKolchuzhin, Vladimir A., and Jan E. Mehner. "A parametric multilevel MEMS simulation methodology using finite element method and mesh morphing." In 2012 13th Intl. Conf. on Thermal, Mechanical & Multi-Physics Simulation and Experiments in Microelectronics and Microsystems (EuroSimE). IEEE, 2012. http://dx.doi.org/10.1109/esime.2012.6191776.
Full textYin, F., and X. Q. Sheng. "Application of multilevel inverse-based ILU preconditioning to implicit time domain finite element method." In Computational Electromagnetics (ICMTCE). IEEE, 2011. http://dx.doi.org/10.1109/icmtce.2011.5915540.
Full textAkimov, P. A., M. L. Mozgaleva, M. Aslami, and O. A. Negrozov. "Advanced Wavelet-Based Multilevel Discrete-Continual Finite Element Method for Three-Dimensional Local Structural Analysis." In International Conference on Computer Information Systems and Industrial Applications. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/cisia-15.2015.194.
Full textMalhotra, Manish, and Peter M. Pinsky. "Matrix-Free Iterative Methods for Parallel Finite Element Computations in Acoustics." In ASME 1995 Design Engineering Technical Conferences collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/detc1995-0396.
Full textTzoulis, A., and T. F. Eibert. "Antenna Modeling with the Hybrid Finite Element - Boundary Integral - Multilevel Fast Multipole - Uniform Geometrical Theory of Diffraction Method." In 2007 2nd International ITG Conference on Antennas. IEEE, 2007. http://dx.doi.org/10.1109/inica.2007.4353939.
Full textOzgun, Ozlem, Raj Mittra, and Mustafa Kuzuoglu. "Solution of large scattering problems using a multilevel scheme in the context of Characteristic Basis Finite Element Method." In 2010 IEEE International Symposium Antennas and Propagation and CNC-USNC/URSI Radio Science Meeting. IEEE, 2010. http://dx.doi.org/10.1109/aps.2010.5561875.
Full textSchobert, Dennis T., and Thomas F. Eibert. "Fast solution of finite element/boundary integral problems employing hierarchical Green's function interpolation combined with multilevel fast multipole method." In 2012 International Conference on Electromagnetics in Advanced Applications (ICEAA). IEEE, 2012. http://dx.doi.org/10.1109/iceaa.2012.6328717.
Full textBlondeel, Philippe, Pieterjan Robbe, Stijn François, Geert Lombaert, and Stefan Vandewalle. "An overview of p-refined Multilevel quasi-Monte Carlo Applied to the Geotechnical Slope Stability Problem." In VI ECCOMAS Young Investigators Conference. València: Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12236.
Full textTzoulis, A., and T. F. Eibert. "Computations for various edge configurations with the hybrid Finite Element - Boundary Integral - Multilevel Fast Multipole - uniform geometrical theory of diffraction method including double diffraction." In 2006 First European Conference on Antennas and Propagation Conference. IEEE, 2006. http://dx.doi.org/10.1109/eucap.2006.4584800.
Full textReports on the topic "Multilevel Finite Element Method"
Babuska, Ivo, Uday Banerjee, and John E. Osborn. Superconvergence in the Generalized Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, January 2005. http://dx.doi.org/10.21236/ada440610.
Full textCoyle, J. M., and J. E. Flaherty. Adaptive Finite Element Method II: Error Estimation. Fort Belvoir, VA: Defense Technical Information Center, September 1994. http://dx.doi.org/10.21236/ada288358.
Full textBabuska, I., and J. M. Melenk. The Partition of Unity Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, June 1995. http://dx.doi.org/10.21236/ada301760.
Full textDuarte, Carlos A. A Generalized Finite Element Method for Multiscale Simulations. Fort Belvoir, VA: Defense Technical Information Center, May 2012. http://dx.doi.org/10.21236/ada577139.
Full textManzini, Gianmarco, and Vitaliy Gyrya. Final Report of the Project "From the finite element method to the virtual element method". Office of Scientific and Technical Information (OSTI), December 2017. http://dx.doi.org/10.2172/1415356.
Full textManzini, Gianmarco. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1046508.
Full textBabuska, I., B. Andersson, B. Guo, H. S. Oh, and J. M. Melenk. Finite Element Method for Solving Problems with Singular Solutions. Fort Belvoir, VA: Defense Technical Information Center, July 1995. http://dx.doi.org/10.21236/ada301749.
Full textBabuska, Ivo, and Manil Suri. On Locking and Robustness in the Finite Element Method. Fort Belvoir, VA: Defense Technical Information Center, May 1990. http://dx.doi.org/10.21236/ada232245.
Full textGerken, Jobie M. An implicit finite element method for discrete dynamic fracture. Office of Scientific and Technical Information (OSTI), December 1999. http://dx.doi.org/10.2172/751964.
Full textRoach, Robert. Laser Spot Welding using an ALE Finite Element Method. Office of Scientific and Technical Information (OSTI), April 2018. http://dx.doi.org/10.2172/1762029.
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