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Relevant bibliographies by topics / Distinct and Finite element methods

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Academic literature on the topic 'Distinct and Finite element methods'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Distinct and Finite element methods"

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Yuu, Shinichi, Toshihiko Umekage, and Kanji Matsumoto. "Numerical Simulation of Flow Fields in Two-Dimensional Bubbling Fluidized Bed Using Smoothed Particle Hydrodynamics Based on Stress Strain Relations Obtained by Distinct Element Method Calculation and Finite Difference Methods, and Experimental Verification." KAGAKU KOGAKU RONBUNSHU 31, no. 2 (2005): 92–101. http://dx.doi.org/10.1252/kakoronbunshu.31.92.

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MASUYA, Hiroshi, and Yoshihiko NAKATA. "Development of numerical model combining distinct element and finite element methods and its application to rock shed analysis." Doboku Gakkai Ronbunshu, no. 710 (2002): 113–28. http://dx.doi.org/10.2208/jscej.2002.710_113.

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Buczkowski, Ryszard, and Bartłomiej Żyliński. "Finite Element Fatigue Analysis of Unsupported Crane." Polish Maritime Research 28, no. 1 (2021): 127–35. http://dx.doi.org/10.2478/pomr-2021-0012.

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Abstract The presented strength and fatigue calculations refer to an unsupported deck crane and its three distinct parts: housing, jib and column. Static loads applied to the structure were due to the crane’s own weight and a maximum working load, corresponding to a maximum lifting capacity at a maximum outreach of the crane. The numerical analysis was aimed at determining the thickness of the skin plating of the column and the number, shape and distribution of stiffeners in the column, housing and jib, ensuring that the crane yields correct strength and fatigue parameters. During the process

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Uddin, M. A., C. Kato, N. Oshima, M. Tanahashi, and T. Miyauchi. "Performance of the Finite Element and Finite Volume Methods for Large Eddy Simulation in Homogeneous Isotropic Turbulence." Journal of Scientific Research 2, no. 2 (2010): 237–49. http://dx.doi.org/10.3329/jsr.v2i2.2582.

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Large eddy simulation (LES) in homogeneous isotropic turbulence is performed by using the Finite element method (FEM) and Finite volume vethod (FVM) and the results are compared to show the performance of FEM and FVM numerical solvers. The validation tests are done by using the standard Smagorinsky model (SSM) and dynamic Smagorinsky model (DSM) for subgrid-scale modeling. LES is performed on a uniformly distributed 643 grids and the Reynolds number is low enough that the computational grid is capable of resolving all the turbulence scales. The LES results are compared with those from direct n

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Guerra, Jorge E., and Paul A. Ullrich. "A high-order staggered finite-element vertical discretization for non-hydrostatic atmospheric models." Geoscientific Model Development 9, no. 5 (2016): 2007–29. http://dx.doi.org/10.5194/gmd-9-2007-2016.

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Abstract. Atmospheric modeling systems require economical methods to solve the non-hydrostatic Euler equations. Two major differences between hydrostatic models and a full non-hydrostatic description lies in the vertical velocity tendency and numerical stiffness associated with sound waves. In this work we introduce a new arbitrary-order vertical discretization entitled the staggered nodal finite-element method (SNFEM). Our method uses a generalized discrete derivative that consistently combines the discontinuous Galerkin and spectral element methods on a staggered grid. Our combined method le

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Florez, Horacio. "About Revisiting Domain Decomposition Methods for Poroelasticity." Mathematics 6, no. 10 (2018): 187. http://dx.doi.org/10.3390/math6100187.

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In this paper, we revisit well-established domain decomposition (DD) schemes to perform realistic simulations of coupled flow and poroelasticity problems on parallel computers. We define distinct solution schemes to take into account different transmission conditions among subdomain boundaries. Indeed, we examine two different approaches, i.e., Dirichlet-Neumann (DN) and the mortar finite element method (MFEM), and we recognize their advantages and disadvantages. The MFEM significantly lessens the computational cost of reservoir compaction and subsidence calculations by dodging the conforming

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Zhang, Ming Gao, Heng Bin Wu, Ze Ping He, and Ting Qiang Zhou. "Numerical Study on Tunnel Mechanics in Jointed Rock Mass with Finite Element Method." Applied Mechanics and Materials 99-100 (September 2011): 790–95. http://dx.doi.org/10.4028/www.scientific.net/amm.99-100.790.

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Tunnel mechanics mainly depend on joints properties in layered and jointed rock mass, and most of the present methods adopted in numerical analysis are distinct element method. Combining to the Gaixiaba tunnel, considering the jointed properties such as dip angles, distances and lateral pressure coefficient, the finite element models are made in this paper. Results show that the plastic zone and total displacement presented a symmetric distribution with the axial of joints dip, and the plastic zone is very similar to the results suggested by Goodman. The dip angles, distances of joints and lat

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MA, GUOWEI, XINMEI AN, and LEI HE. "THE NUMERICAL MANIFOLD METHOD: A REVIEW." International Journal of Computational Methods 07, no. 01 (2010): 1–32. http://dx.doi.org/10.1142/s0219876210002040.

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This paper presents a review on the numerical manifold method (NMM), which covers the basic theories of the NMM, such as NMM components, NMM displacement approximation, formulations of the discrete system of equations, integration scheme, imposition of the boundary conditions, treatment of contact problems involved in the NMM, and also the recent developments and applications of the NMM. Modeling the strong discontinuities within the framework of the NMM is specially emphasized. Several examples demonstrating the capability of the NMM in modeling discrete block system, strong discontinuities,

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Saga, Armando Yukio, Hiroshi Maruo, Marco André Argenta, Ivan Toshio Maruo, and Orlando Motohiro Tanaka. "Orthodontic intrusion of maxillary incisors: a 3D finite element method study." Dental Press Journal of Orthodontics 21, no. 1 (2016): 75–82. http://dx.doi.org/10.1590/2177-6709.21.1.075-082.oar.

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Objective: In orthodontic treatment, intrusion movement of maxillary incisors is often necessary. Therefore, the objective of this investigation is to evaluate the initial distribution patterns and magnitude of compressive stress in the periodontal ligament (PDL) in a simulation of orthodontic intrusion of maxillary incisors, considering the points of force application. Methods: Anatomic 3D models reconstructed from cone-beam computed tomography scans were used to simulate maxillary incisors intrusion loading. The points of force application selected were: centered between central incisors bra

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Pritchard, M. A., and K. W. Savigny. "Numerical modelling of toppling." Canadian Geotechnical Journal 27, no. 6 (1990): 823–34. http://dx.doi.org/10.1139/t90-095.

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Evidence of large-scale toppling deformation has been reported in association with deep-seated landslides affecting mountain slopes along the Beaver River valley, Glacier National Park, British Columbia, Canada. A study has been undertaken to quantitatively investigate the relationship between the toppling mass movement process and the deep-seated landslides; specifically, whether the landslides represent a limiting condition of the toppling process. This is the first of two papers that describe the study. Methods of toppling analysis, including limit-equilibrium, finite-element, and distinct-

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Dissertations / Theses on the topic "Distinct and Finite element methods"

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Min, Ki-Bok. "Fractured Rock Masses as Equivalent Continua - A Numerical Study." Doctoral thesis, KTH, Land and Water Resources Engineering, 2004. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3742.

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<p>In this thesis, fractured rock masses are treated asequivalent continua for large-scale analyses of rockengineering projects. Systematic developments are made for thedetermination of equivalent mechanical and hydraulic propertiesof fractured rock masses using a hybrid discrete fracturenetwork - distinct element method (DFN-DEM) approach. Thedetermined equivalent properties are then used for a far-fieldfinite element analysis of the thermo-mechanical impacts on thestress, deformation and permeability of fractured rockssurrounding a hypothetical geological repository of nuclearwaste. The geol

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Lebrouc, Vincent. "Evolution thermomécanique du mouvement de Séchilienne depuis la dernière phase glaciaire quaternaire." Thesis, Grenoble, 2013. http://www.theses.fr/2013GRENU051/document.

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Le mouvement de Séchilienne est situé à une trentaine de kilomètre au sud-est de l'agglomération grenobloise sur la bordure Sud du Massif de Belledonne. Il affecte le versant rocheux en rive droite de la vallée alpine de la Romanche façonné par les nombreux cycles de glaciation et déglaciation et qui lors de la dernière phase glaciaire a été complètement recouvert par le glacier. Le raidissement des pentes et l'approfondissement du pied du versant associés au phénomène de décompression affectant le versant et correspondant au relâchement des contraintes liées à la disparition progressive du gl

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Nhu, Viet-Hung. "Dialogues numériques entre échelles tribologiques." Thesis, Lyon, INSA, 2013. http://www.theses.fr/2013ISAL0043/document.

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En tribologie, la modélisation numérique est aujourd'hui un outil indispensable pour étudier un contact afin de pallier les limites expérimentales. Pour comprendre de mieux en mieux les phénomènes mis en jeu, les modèles ne se situent plus à une seule échelle, mais en font intervenir plusieurs, rendant plus que jamais le concept de triplet tribologique incontournable. Travaillant avec cette philosophie et en se basant sur l'approche Non Smooth Contact Dynamics, dont nous rappelons les grandes lignes, nous proposons de franchir deux cas: proposer des modèles offrant des résultats quantitatifs e

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Dogan, 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.

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Cenanovic, Mirza. "Finite element methods on surfaces." Licentiate thesis, Tekniska Högskolan, Högskolan i Jönköping, JTH. Forskningsmiljö Produktutveckling - Simulering och optimering, 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-28424.

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The purpose of this thesis is to improve numerical simulations of surface problems. Two novel computational concepts are analyzed and applied on two surface problems; minimal surface problems and elastic membrane problems. The concept of tangential projection implies that direct computation on the surface is made possible compared to the classical approach of mapping 2D parametric surfaces to 3D surfaces by means of differential geometry operators. The second concept presented is the cut finite element method, in which the basic idea of discretization is to embed the d- 1-dimensional surface i

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Wong, S.-W. "Element-by-element methods in transient analysis." Thesis, University of Manchester, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.383902.

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Zeng, Yang. "Finite Element Methods for Microelectromechanical Systems." Thesis, Uppsala University, Department of Information Technology, 2009. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-110896.

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<p>The stationary Joule heating problem is a crucial multiphysical problem for many microelectromechanical (MEMS) applications. In our paper, we derive a finite element method for this problem and introduce iterative solution-techniques to compute the numerical simulation. Further we construct an adaptive algorithm for mesh refinement based on a posteriori error estimation.Finally, we present two numerical tests: convergences analysis of different iterative methods for distinct materials which are classified by electrical conductivities, and a test of the new adaptive refinement algorithm. All

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Mekchay, Khamron. "Convergence of adaptive finite element methods." College Park, Md. : University of Maryland, 2005. http://hdl.handle.net/1903/3216.

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Thesis (Ph. D.) -- University of Maryland, College Park, 2005.<br>Thesis research directed by: Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

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Samvin, David. "Finite Element Methods for Interface Problems." Licentiate thesis, Jönköping University, JTH, Industriell produktutveckling, produktion och design, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-54570.

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This thesis focuses on computationally efficient methods for flow in fractured porous media. Two approaches are presented where the interface is embedded on the underlying finite element mesh. The methods allow for representation of the interface geometry from the underlying discretization and with discontinuities across the interface. However, embedding interfaces raises stability concerns in which we alleviate using stabilization terms. The aim of this thesis is to present the basics of the two main approaches and to provide brief details on the mathematics involved.<br>Denna avhandling foku

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Chaabane, Nabil. "Immersed and Discontinuous Finite Element Methods." Diss., Virginia Tech, 2015. http://hdl.handle.net/10919/73194.

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In this dissertation we prove the superconvergence of the minimal-dissipation local discontinuous Galerkin method for elliptic problems and construct optimal immersed finite element approximations and discontinuous immersed finite element methods for the Stokes interface problem. In the first part we present an error analysis for the minimal dissipation local discontinuous Galerkin method applied to a model elliptic problem on Cartesian meshes when polynomials of degree at most $k$ and an appropriate approximation of the boundary condition are used. This special approximation allows us to ach

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Books on the topic "Distinct and Finite element methods"

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Schwarz, Hans Rudolf. Finite element methods. Academic Press, 1988.

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Whiteley, Jonathan. Finite Element Methods. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49971-0.

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Schwarz, H. R. Finite element methods. Academic, 1988.

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Wriggers, P. Nonlinear finite element methods. Springer, 2008.

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Papadopoulos, Vissarion, and Dimitris G. Giovanis. Stochastic Finite Element Methods. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-64528-5.

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Fix, George J. Singular finite element methods. National Aeronautics and Space Administration, Langley Research Center, 1987.

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Fix, George J. Singular finite element methods. ICASE, 1987.

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T, Leung A. Y., ed. Finite element methods in dynamics. Science Press, 1991.

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Karel, Segeth, and Dolez̆el Ivo, eds. Higher-order finite element methods. Chapman & Hall/CRC, 2004.

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Borgers, Christoph. Finite element capacitance matrix methods. Courant Institute of Mathematical Sciences, New York University, 1986.

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Book chapters on the topic "Distinct and Finite element methods"

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Yoshida, Tatsuya, Fumiyasu Kuratani, and Shogo Nakamura. "Snowboard Simulation with Distinct Element Method and Finite Element Method." In Vibration Engineering for a Sustainable Future. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-46466-0_6.

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Seydel, Rüdiger U. "Finite-Element Methods." In Tools for Computational Finance. Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7338-0_5.

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Seydel, Rüdiger. "Finite-Element Methods." In Tools for Computational Finance. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04711-8_5.

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Kang, Feng, and Shi Zhong-Ci. "Finite Element Methods." In Mathematical Theory of Elastic Structures. Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/978-3-662-03286-2_5.

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Borst, René de. "Finite Element Methods." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-55771-6_13.

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Süli, Endre. "Finite Element Methods." In Encyclopedia of Applied and Computational Mathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-540-70529-1_450.

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Gustafsson, Bertil. "Finite Element Methods." In Fundamentals of Scientific Computing. Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-19495-5_11.

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Seydel, Rüdiger U. "Finite-Element Methods." In Tools for Computational Finance. Springer London, 2012. http://dx.doi.org/10.1007/978-1-4471-2993-6_5.

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de Borst, René. "Finite Element Methods." In Encyclopedia of Continuum Mechanics. Springer Berlin Heidelberg, 2018. http://dx.doi.org/10.1007/978-3-662-53605-6_13-1.

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Rao, J. S. "Finite Element Methods." In History of Mechanism and Machine Science. Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-94-007-1165-5_13.

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Conference papers on the topic "Distinct and Finite element methods"

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Bunnell, Spencer, Christopher Thelin, Steven Gorrell, John Salmon, Christopher Ruoti, and Ammon Hepworth. "Rapid Visualization of Compressor Blade Finite Element Models Using Surrogate Modeling." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-77188.

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The design process for compressor blades is a highly iterative and often slow process. This research applied and measured the impact of using surrogates to quickly model the stresses on a compressor blade. By modeling distinct points on a finite element (FE) model with unique surrogates, the stress field of the entire FE model was quickly predicted. This required that the distinct points remain in the same relative location on each blade used in training the surrogate. This research studied the ability of mesh morphing, and using the surface nodes as those distinct points, to satisfy this requ

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Son, Yang W., Douglas H. Wentz, Danny L. Levine, and Todd S. Johnson. "Finite Element Method to Evaluate Effects of Hip Implant Geometry on Bone Cement Stress Distribution." In ASME 2007 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2007. http://dx.doi.org/10.1115/sbc2007-176026.

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Loosening of cemented hip prostheses has been reported on occasion. Although a few laboratory experiments have replicated clinical failure modes, the methods appear to be very complicated and time consuming. In this analysis, the Finite Element Method was utilized to evaluate the stress distribution in a cement layer. Two distinct hip implant designs with and without grooves in the anterior/posterior surfaces were investigated. The results indicate that the features of the multiple grooves in these cemented hip implants may improve the rotational stability and reduce the cement stress at the i

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Browning, Robert S., Kent T. Danielson, and Mark D. Adley. "Higher-order finite elements for lumped-mass explicit modeling of high-speed impacts." In 2019 15th Hypervelocity Impact Symposium. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/hvis2019-111.

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Abstract Classical finite element analysis (FEA) continues to be a primary computational method of choice for most solid mechanics applications and the explicit method is significantly used in the defense industry for high-speed impact analysis. The explicit lumped-mass approach, without a stiffness matrix, is well suited for rapidly changing/high rate short duration applications, but can produce distinct nuances and severely affect element performances differently than in typical static/implicit methods. In contrast to automatic tetrahedral meshing approaches applied to the entire volume, hex

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Santos, Caio C. P., Celso P. Pesce, Rafael Salles, Guilherme R. Franzini, and Rafael L. Tanaka. "A Finite Element Model for Umbilical Cable Crushing Analysis." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41622.

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Umbilical cables are essential elements of offshore floating production systems. Due to their complexity, the offshore industry regularly counts on numerical tools to perform design assignments. One of these assignments is to evaluate strains and stresses states in all components due to distinct sets of external loads. The main purpose of this paper is to present a numerical model for prediction of the stress and strain fields in the umbilical cable components under crushing loads. Such loads, outcoming from the laying operation, comprise the caterpillar shoes load and the squeezing effects, a

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Yu, Qing, and Jer-Fang Wu. "Multi-Scale Finite Element Simulation of Progressive Damage in Composite Structures." In 25th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2006. http://dx.doi.org/10.1115/omae2006-92064.

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A methodology for analyzing progressive damage accumulation on multiple spatial scales (micro- and macro-scale) in composite materials is presented in this paper. Idealization (homogenization) of heterogeneous media and evolution of damage on micro- and macro-scales are considered simultaneously at each incremental analysis step. The classical mathematical homogenization theory is extended to account for damage effects on distinct spatial scales through the introduction of an asymptotic expansion of damage parameter (or damage tensor in general). Local solutions on micro-scale provide the homo

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Carolan, Michael, and Benjamin Perlman. "Developing Finite Element Models to Examine Rail Defects Under Combined Loading." In 2019 Joint Rail Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/jrc2019-1268.

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One of the Federal Railroad Administration’s (FRA’s) current areas of research within its rail integrity research program includes investigating the defect growth behavior of modern rail steels. The modern rail steel research is a collaboration among several organizations: Thornton-Tomasetti, Arcelor-Mittal, Lehigh University, Harvard University, and the Volpe National Transportation Systems Center (Volpe). A companion paper to this one will describe the results of recently-completed mechanical testing, fracture toughness testing, fatigue crack growth rate calculations, and residual stress fie

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Desmond, Michael, Darris White, and William Barott. "Finite Element Modeling of a Dual Axis Resonant Test System for Wind Turbine Blades." In ASME 2009 3rd International Conference on Energy Sustainability collocated with the Heat Transfer and InterPACK09 Conferences. ASMEDC, 2009. http://dx.doi.org/10.1115/es2009-90164.

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Structural testing of wind turbine blades is required for designing reliable, structurally efficient blades. Full-scale blade fatigue testing conducted at the National Renewable Energy Laboratory’s (NREL) National Wind Technology Center (NWTC) provides blade manufacturers quantitative information on design details including design assessment, manufacturing quality, and design durability. Blade tests can be conducted as a single axis test (flapwise or lead-lag) or a dual-axis test (flapwise and lead-lag simultaneously). Dual-axis testing is generally the preferred full-scale test method as it s

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Hicks, Trevor G., William R. Mabe, Jason R. Miller, and John V. Mullen. "Residual Stress Evaluation of Small Diameter Stainless Steel Piping by Experimental Measurements and Finite Element Analysis." In ASME 2014 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/pvp2014-29092.

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Residual stresses within stainless steel pipe welds may impact both component inspections and in-service cracking. Various investigators have examined piping residual stresses in large diameter piping using both finite element modeling and experimental techniques, but limited information is available for small diameter piping. This investigation uses both experimental methods and analytical modeling to evaluate the impact of welding on the residual stresses along the inner diameter (ID) of two small diameter pipe specimens. Results of the investigation showed that tensile axial residual stress

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Bhakuni, Nila D., Andrew B. Trageser, Sivakumar Sundaresan, and Kosuke Ishii. "Structural Optimization Methods for Aluminum Beverage Can Bottoms." In ASME 1991 Design Technical Conferences. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/detc1991-0096.

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Abstract The objective of this research is to minimize the weight of beverage cans subject to structural, geometric, manufacturing, and volume constraints. The structural constraints are: internal pressure, drop loading, and axial column loading which can buckle and damage the can. This study concentrates on the variation of the geometry of the can bottom. Parameterization is a key issue as three distinct parameter sets are essential to the optimization of the can: the Tooling parameters allow the can to be made, the geometric parameters allow the can to be analyzed by the finite element metho

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Mutswatiwa, Lovejoy, Celestin Nkundineza, and Mehmet A. Güler. "Modelling the Effect of Track Stiffness Variation on Wheel Rail Interaction Using Finite Element Method." In 2021 Joint Rail Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/jrc2021-58519.

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Abstract For predictive maintenance purpose, wheel and rail wear evolution models have been developed based on wheel rail contact force calculations. These models are known to assume the wheel rotating on a rigid rail. However recent developments have shown that the flexibility of the track plays an important role in wear evolution. On the other hand, vertical track stiffness variation along the track is known to exist and to affect the track flexibility. The present research work investigates the influence of non-uniform track modulus on the wheel rail contact forces using elasto-plastic expl

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Reports on the topic "Distinct and Finite element methods"

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Costa, Timothy, Stephen D. Bond, David John Littlewood, and Stan Gerald Moore. Peridynamic Multiscale Finite Element Methods. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1227915.

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Kirby, Robert M., and Robert Haimes. Visualization of High-Order Finite Element Methods. Defense Technical Information Center, 2008. http://dx.doi.org/10.21236/ada500484.

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Holst, M. Research on parallel adaptive finite element methods. Office of Scientific and Technical Information (OSTI), 2000. http://dx.doi.org/10.2172/15013124.

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Kirby, Robert M., and Robert Haimes. Visualization of High-Order Finite Element Methods. Defense Technical Information Center, 2013. http://dx.doi.org/10.21236/ada578239.

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Binev, Peter, Wolfgang Dahmen, and Ron DeVore. Adaptive Finite Element Methods with Convergence Rates. Defense Technical Information Center, 2003. http://dx.doi.org/10.21236/ada640658.

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Brannick, James. Finite Element Methods and Multigrid Methods for the Dirac Equation. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1341949.

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Garikipati, Krishna, and Jakob T. Ostien. Discontinuous Galerkin finite element methods for gradient plasticity. Office of Scientific and Technical Information (OSTI), 2010. http://dx.doi.org/10.2172/1008112.

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Aronson, E. A. Modeling of magnetic devices with finite-element methods. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6363054.

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Lee, C. S. Generalization of mixed multiscale finite element methods with applications. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1260492.

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Belytschko, Ted. Efficient Finite Element Methods for Transient Analysis of Shells. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada173239.

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