Academic literature on the topic 'Galerkin methods'
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Journal articles on the topic "Galerkin methods"
Adjerid, Slimane, and Mahboub Baccouch. "Galerkin methods." Scholarpedia 5, no. 10 (2010): 10056. http://dx.doi.org/10.4249/scholarpedia.10056.
Full textCross, M. "Computational Galerkin methods." Applied Mathematical Modelling 9, no. 3 (June 1985): 226. http://dx.doi.org/10.1016/0307-904x(85)90012-5.
Full textMarion, Martine, and Roger Temam. "Nonlinear Galerkin Methods." SIAM Journal on Numerical Analysis 26, no. 5 (October 1989): 1139–57. http://dx.doi.org/10.1137/0726063.
Full textNakazawa, Shohei. "Computational Galerkin methods." Computer Methods in Applied Mechanics and Engineering 50, no. 2 (August 1985): 199–200. http://dx.doi.org/10.1016/0045-7825(85)90091-x.
Full textCockburn, B. "Discontinuous Galerkin methods." ZAMM 83, no. 11 (November 3, 2003): 731–54. http://dx.doi.org/10.1002/zamm.200310088.
Full textWarburton, T. C., I. Lomtev, Y. Du, S. J. Sherwin, and G. E. Karniadakis. "Galerkin and discontinuous Galerkin spectral/hp methods." Computer Methods in Applied Mechanics and Engineering 175, no. 3-4 (July 1999): 343–59. http://dx.doi.org/10.1016/s0045-7825(98)00360-0.
Full textBanks, J. W., and T. Hagstrom. "On Galerkin difference methods." Journal of Computational Physics 313 (May 2016): 310–27. http://dx.doi.org/10.1016/j.jcp.2016.02.042.
Full textCanuto, C., R. H. Nochetto, and M. Verani. "Adaptive Fourier-Galerkin methods." Mathematics of Computation 83, no. 288 (November 21, 2013): 1645–87. http://dx.doi.org/10.1090/s0025-5718-2013-02781-0.
Full textDi Pietro, Daniele A. "Cell centered Galerkin methods." Comptes Rendus Mathematique 348, no. 1-2 (January 2010): 31–34. http://dx.doi.org/10.1016/j.crma.2009.11.012.
Full textBelytschko, T., Y. Y. Lu, and L. Gu. "Element-free Galerkin methods." International Journal for Numerical Methods in Engineering 37, no. 2 (January 30, 1994): 229–56. http://dx.doi.org/10.1002/nme.1620370205.
Full textDissertations / Theses on the topic "Galerkin methods"
Elfverson, Daniel. "On discontinuous Galerkin multiscale methods." Licentiate thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-200260.
Full textDogan, Abdulkadir. "Petrov-Galerkin finite element methods." Thesis, Bangor University, 1997. https://research.bangor.ac.uk/portal/en/theses/petrovgalerkin-finite-element-methods(4d767fc7-4ad1-402a-9e6e-fd440b722406).html.
Full textHarbrecht, Helmut, and Reinhold Schneider. "Adaptive Wavelet Galerkin BEM." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200600559.
Full textCasoni, Rero Eva. "Shock capturing for discontinuous Galerkin methods." Doctoral thesis, Universitat Politècnica de Catalunya, 2011. http://hdl.handle.net/10803/51571.
Full textThis thesis proposes shock-capturing methods for high-order Discontinuous Galerkin (DG) formulations providing highly accurate solutions for compressible flows. In the last decades, research in DG methods has been very active. The success of DG in hyperbolic problems has driven many studies for nonlinear conservation laws and convection-dominated problems. Among all the advantages of DG, their inherent stability and local conservation properties are relevant. Moreover, DG methods are naturally suited for high-order approximations. Actually, in recent years it has been shown that convection-dominated problems are no longer restricted to low-order elements. In fact, highly accurate numerical models for High-Fidelity predictions in CFD are necessary. Under this rationale, two shock-capturing techniques are presented and discussed. First, a novel and simple technique based on on the introduction of a new basis of shape functions is presented. It has the ability to change locally between a continuous or discontinuous interpolation depending on the smoothness of the approximated function. In the presence of shocks, the new discontinuities inside an element introduce the required stabilization thanks to the numerical fluxes, thus exploiting DG inherent properties. Large high-order elements can therefore be used and shocks are captured within a single element, avoiding adaptive mesh refinement and preserving the locality and compactness of the DG scheme. Second, a classical and, apparently simple, technique is advocated: the introduction of artificial viscosity. First, a one-dimensional study is perfomed. Viscosity of the order O(hk) with 1≤ k≤ p is obtained, hence inducing a shock width of the same order. Second, the study extends the accurate one-dimensional viscosity to triangular multidimensional meshes. The extension is based on the projection of the one-dimensional viscosity into some characteristic spatial directions within the elements. It is consistently shown that the introduced viscosity scales, at most, withthe DG resolutions length scales, h/p. The method is especially reliable for highorder DG approximations, say p≥3. A wide range of different numerical tests validate both methodologies. In some examples the proposed methods allow to reduce by an order of magnitude the number of degrees of freedom necessary to accurately capture the shocks, compared to standard low order h-adaptive approaches.
Murdoch, Thomas. "Galerkin methods for nonlinear elliptic equations." Thesis, University of Oxford, 1988. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.329932.
Full textDong, Zhaonan. "Discontinuous Galerkin methods on polytopic meshes." Thesis, University of Leicester, 2017. http://hdl.handle.net/2381/39140.
Full textKovacs, Denis Christoph. "Inertial Manifolds and Nonlinear Galerkin Methods." Thesis, Virginia Tech, 2005. http://hdl.handle.net/10919/30792.
Full textMaster of Science
Harbrecht, Helmut, Ulf Kähler, and Reinhold Schneider. "Wavelet Galerkin BEM on unstructured meshes." Universitätsbibliothek Chemnitz, 2006. http://nbn-resolving.de/urn:nbn:de:swb:ch1-200601459.
Full textOf, Günther, Gregory J. Rodin, Olaf Steinbach, and Matthias Taus. "Coupling Methods for Interior Penalty Discontinuous Galerkin Finite Element Methods and Boundary Element Methods." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-96885.
Full textGalbraith, Marshall C. "A Discontinuous Galerkin Chimera Overset Solver." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384427339.
Full textBooks on the topic "Galerkin methods"
Cockburn, Bernardo, George E. Karniadakis, and Chi-Wang Shu, eds. Discontinuous Galerkin Methods. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-59721-3.
Full textHesthaven, Jan S., and Tim Warburton. Nodal Discontinuous Galerkin Methods. New York, NY: Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-72067-8.
Full textSmith, Ralph C. Sinc-Galerkin estimation of diffusivity in parabolic problems. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1991.
Find full textL, Bowers Kenneth, and Langley Research Center, eds. Sinc-Galerkin estimation of diffusivity in parabolic problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1991.
Find full textL, Bowers Kenneth, and Langley Research Center, eds. Sinc-Galerkin estimation of diffusivity in parabolic problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1991.
Find full textSutradhar, Alok. Symmetric galerkin boundary element method. Berlin: Springer, 2008.
Find full textRüter, Marcus Olavi. Error Estimates for Advanced Galerkin Methods. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06173-9.
Full textWahlbin, Lars B. Superconvergence in Galerkin Finite Element Methods. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0096835.
Full textDi Pietro, Daniele Antonio, and Alexandre Ern. Mathematical Aspects of Discontinuous Galerkin Methods. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-22980-0.
Full textWahlbin, Lars B. Superconvergence in Galerkin finite element methods. New York: Springer-Verlag, 1995.
Find full textBook chapters on the topic "Galerkin methods"
Le Maître, O. P., and O. M. Knio. "Galerkin Methods." In Scientific Computation, 73–105. Dordrecht: Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-90-481-3520-2_4.
Full textWieners, Christian. "Galerkin Methods." In Encyclopedia of Applied and Computational Mathematics, 579–81. Berlin, Heidelberg: Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_415.
Full textRüter, Marcus Olavi. "Galerkin Methods." In Error Estimates for Advanced Galerkin Methods, 75–148. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-06173-9_4.
Full textUzunca, Murat. "Discontinuous Galerkin Methods." In Adaptive Discontinuous Galerkin Methods for Non-linear Reactive Flows, 9–25. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-30130-3_2.
Full textLarson, Mats G., and Fredrik Bengzon. "Discontinuous Galerkin Methods." In Texts in Computational Science and Engineering, 355–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-33287-6_14.
Full textGirault, Vivette, and Mary F. Wheeler. "Discontinuous Galerkin Methods." In Partial Differential Equations, 3–26. Dordrecht: Springer Netherlands, 2008. http://dx.doi.org/10.1007/978-1-4020-8758-5_1.
Full textSullivan, T. J. "Stochastic Galerkin Methods." In Texts in Applied Mathematics, 251–76. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-23395-6_12.
Full textMehra, Mani. "Wavelet-Galerkin Methods." In Forum for Interdisciplinary Mathematics, 121–33. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2595-3_7.
Full textKythe, Prem K., and Pratap Puri. "Sinc-Galerkin Methods." In Computational Methods for Linear Integral Equations, 286–320. Boston, MA: Birkhäuser Boston, 2002. http://dx.doi.org/10.1007/978-1-4612-0101-4_10.
Full textDroniou, Jérôme, Robert Eymard, Thierry Gallouët, Cindy Guichard, and Raphaèle Herbin. "Discontinuous Galerkin Methods." In Mathématiques et Applications, 325–41. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-79042-8_11.
Full textConference papers on the topic "Galerkin methods"
Ko, Jeonghwan, Andrew Kurdila, and Michael Pilant. "Wavelet Galerkin multigrid methods." In 35th Structures, Structural Dynamics, and Materials Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-1334.
Full textCockburn, Bernardo. "The Hybridizable Discontinuous Galerkin Methods." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0166.
Full textBusch, Kurt. "Discontinuous Galerkin Methods in Nanophotonics." In Integrated Photonics Research, Silicon and Nanophotonics. Washington, D.C.: OSA, 2012. http://dx.doi.org/10.1364/iprsn.2012.im3b.1.
Full textBusch, Kurt, Michael Konig, Richard Diehl, Kirankumar R. Hiremath, and Jens Niegemann. "Discontinuous Galerkin methods for nano-photonics." In 2011 ICO International Conference on Information Photonics (IP). IEEE, 2011. http://dx.doi.org/10.1109/ico-ip.2011.5953772.
Full textKessler, Manuel. "Engineering Application Oriented Discontinuous Galerkin Methods." In 45th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-511.
Full textBusch, Kurt. "Discontinuous Galerkin methods in nano-photonics." In 2016 International Conference on Numerical Simulation of Optoelectronic Devices (NUSOD). IEEE, 2016. http://dx.doi.org/10.1109/nusod.2016.7547102.
Full textDazel, Olivier, and Gwenael Gabard. "Discontinuous Galerkin Methods for poroelastic materials." In ICA 2013 Montreal. ASA, 2013. http://dx.doi.org/10.1121/1.4799714.
Full textCollis, S. Scott, and Kaveh Ghayour. "Discontinuous Galerkin Methods for Compressible DNS." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45632.
Full textHuynh, H. T. "Collocation and Galerkin Time-Stepping Methods." In 19th AIAA Computational Fluid Dynamics. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-4323.
Full textMata Almonacid, Pablo, Yongxing Shen, and Vahid Ziaei-Rad. "A VARIATIONAL FORMULATION OF DISCONTINUOUS-GALERKIN TIME INTEGRATORS." In 5th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering Methods in Structural Dynamics and Earthquake Engineering. Athens: Institute of Structural Analysis and Antiseismic Research School of Civil Engineering National Technical University of Athens (NTUA) Greece, 2015. http://dx.doi.org/10.7712/120115.3458.1050.
Full textReports on the topic "Galerkin methods"
Belytschko, Ted. Crack Propagation by Element-Free Galerkin Methods. Fort Belvoir, VA: Defense Technical Information Center, May 1997. http://dx.doi.org/10.21236/ada329723.
Full textGarikipati, Krishna, and Jakob T. Ostien. Discontinuous Galerkin finite element methods for gradient plasticity. Office of Scientific and Technical Information (OSTI), October 2010. http://dx.doi.org/10.2172/1008112.
Full textWatkins, Jerry. Current Status of Discontinuous Galerkin (DG) methods in SPARC. Office of Scientific and Technical Information (OSTI), September 2019. http://dx.doi.org/10.2172/1564038.
Full textCyr, Eric C. Spatially varying embedded stochastic galerkin methods for steady-state PDEs. Office of Scientific and Technical Information (OSTI), July 2013. http://dx.doi.org/10.2172/1090207.
Full textHeineike, Benjamin M. Modeling Morphogenesis with Reaction-Diffusion Equations Using Galerkin Spectral Methods. Fort Belvoir, VA: Defense Technical Information Center, May 2002. http://dx.doi.org/10.21236/ada403766.
Full textXia, Yinhua, Yan Xu, and Chi-Wang Shu. Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations. Fort Belvoir, VA: Defense Technical Information Center, January 2007. http://dx.doi.org/10.21236/ada464873.
Full textGiraldo, F. X., J. S. Hesthaven, and T. Warburton. Nodal High-Order Discontinuous Galerkin Methods for the Spherical Shallow Water Equations. Fort Belvoir, VA: Defense Technical Information Center, September 2002. http://dx.doi.org/10.21236/ada633613.
Full textGiraldo, F. X., J. S. Hesthaven, and T. Warburton. Nodal High-Order Discontinuos Galerkin Methods for the Spherical Shallow Water Equations. Fort Belvoir, VA: Defense Technical Information Center, January 2001. http://dx.doi.org/10.21236/ada461874.
Full textRoberts, Nathaniel David, Pavel Blagoveston Bochev, Leszek D. Demkowicz, and Denis Ridzal. A toolbox for a class of discontinuous Petrov-Galerkin methods using trilinos. Office of Scientific and Technical Information (OSTI), September 2011. http://dx.doi.org/10.2172/1029782.
Full textMezzacappa, Anthony, Eirik Endeve, Cory D. Hauck, and Yulong Xing. Bound-Preserving Discontinuous Galerkin Methods for Conservative Phase Space Advection in Curvilinear Coordinates. Office of Scientific and Technical Information (OSTI), February 2015. http://dx.doi.org/10.2172/1394128.
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