Academic literature on the topic 'Finite Element'

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Journal articles on the topic "Finite Element"

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Ženíšek, Alexander. "Finite element variational crimes in the case of semiregular elements." Applications of Mathematics 41, no. 5 (1996): 367–98. http://dx.doi.org/10.21136/am.1996.134332.

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Kim, Hyun-Gyu. "CM-KR-1 Interface elements for coupling independently modeled finite element domains." Proceedings of Mechanical Engineering Congress, Japan 2012 (2012): _CM—KR—1–1—_CM—KR—1–5. http://dx.doi.org/10.1299/jsmemecj.2012._cm-kr-1-1.

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Haukaas, T., and P. Gardoni. "Model Uncertainty in Finite-Element Analysis: Bayesian Finite Elements." Journal of Engineering Mechanics 137, no. 8 (August 2011): 519–26. http://dx.doi.org/10.1061/(asce)em.1943-7889.0000253.

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Mackerle, Jaroslav. "Finite element analysis of machine elements." Engineering Computations 16, no. 6 (September 1999): 677–748. http://dx.doi.org/10.1108/02644409910286429.

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Kožar, Ivica, and Adnan Ibrahimbegović. "Finite element formulation of the finite rotation solid element." Finite Elements in Analysis and Design 20, no. 2 (June 1995): 101–26. http://dx.doi.org/10.1016/0168-874x(95)00014-k.

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Rajput, Sunil G. "Finite Element Analysis of Twin Screw Extruder." Indian Journal of Applied Research 3, no. 6 (October 1, 2011): 205–8. http://dx.doi.org/10.15373/2249555x/june2013/68.

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Hayashi, Masa, Motonao Yamanaka, Hiroshi Kasebe, and Toshiaki Satoh. "Efficient Hierarchical Elements in Finite Element Analysis." Doboku Gakkai Ronbunshu, no. 591 (1998): 71–84. http://dx.doi.org/10.2208/jscej.1998.591_71.

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Vieux, Baxter E., Vincent F. Bralts, Larry J. Segerlind, and Roger B. Wallace. "Finite Element Watershed Modeling: One‐Dimensional Elements." Journal of Water Resources Planning and Management 116, no. 6 (November 1990): 803–19. http://dx.doi.org/10.1061/(asce)0733-9496(1990)116:6(803).

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Savadatti, Siddharth, and Murthy N. Guddati. "A finite element alternative to infinite elements." Computer Methods in Applied Mechanics and Engineering 199, no. 33-36 (July 2010): 2204–23. http://dx.doi.org/10.1016/j.cma.2010.03.018.

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Matveev, Aleksandr. "Generating finite element method in constructing complex-shaped multigrid finite elements." EPJ Web of Conferences 221 (2019): 01029. http://dx.doi.org/10.1051/epjconf/201922101029.

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The calculations of three-dimensional composite bodies based on the finite element method with allowance for their structure and complex shape come down to constructing high-dimension discrete models. The dimension of discrete models can be effectively reduced by means of multigrid finite elements (MgFE). This paper proposes a generating finite element method for constructing two types of three-dimensional complex-shaped composite MgFE, which can be briefly described as follows. An MgFE domain of the first type is obtained by rotating a specified complex-shaped plane generating single-grid finite element (FE) around a specified axis at a given angle, and an MgFE domain of the second type is obtained by the parallel displacement of a generating FE in a specified direction at a given distance. This method allows designing MgFE with one characteristic dimension significantly larger (smaller) than the other two. The MgFE of the first type are applied to calculate composite shells of revolution and complex-shaped rings, and the MgFE of the second type are used to calculate composite cylindrical shells, complex-shaped plates and beams. The proposed MgFE are advantageous because they account for the inhomogeneous structure and complex shape of bodies and generate low-dimension discrete models and solutions with a small error.
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Dissertations / Theses on the topic "Finite Element"

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Teng, Puay Tan Andy. "Intelligent Finite Element." Thesis, University of Exeter, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.506062.

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Starkloff, Hans-Jörg. "Stochastic finite element method with simple random elements." Universitätsbibliothek Chemnitz, 2008. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-200800596.

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We propose a variant of the stochastic finite element method, where the random elements occuring in the problem formulation are approximated by simple random elements, i.e. random elements with only a finite number of possible values.
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Roberts, D. P. "Finite element modelling of rockbolts and reinforcing elements." Thesis, Swansea University, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.638679.

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The aim of this research was to produce a generic rockbolt model for inclusion in two and three dimensional explicit finite element analyses of mining problems. Installation of rockbolts is completely automated. Algorithms for the automatic placement of rockbolt nodes within continuum elements are developed and described. The rockbolts are described independently of the continuum degrees of freedom. Continuum elements and the rockbolt elements are connected through bond elements. Displacements from the continuum are transferred to the rockbolt system through these elements, and the resultant reactions passed to the continuum as external loads. In this way, the solution procedures for the continuum and the rockbolts are separated, thus creating an explicit-explicit subcycle. Using this form or nodal partitioning, rockbolts may have much higher stiffness than the parent continuum without effecting the overall timestep for the problem. Rockbolt systems are constructed of interconnected layers of bond elements and axial structural elements. The constitutive models for both these types of elements are effectively one-dimensional and therefore may be expressed algebraically. The most appropriate bond models from the literature are discussed and implemented. In addition, there is the capacity for elements crossing discontinuities to generate reactions consistent with transverse shearing of rockbolts. The model is tested by performing numerical pull-tests, based on experimental data from the literature. The sensitivity of rockbolt system to the relative bond and axial stiffness is demonstrated. The numerical axial and bond stress distributions were consistent with the experimental results. The model is applied to an excavation problem, with various rockbolt types and support patterns being analysed. The capacity of rockbolts to reduce the occurrence and depth of fracturing around the excavation is demonstrated. The model is also used to represent reinforcing bars in a concrete beam.
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Adams, Leila. "Finite element method using vector finite elements applied to eddy current problems." Master's thesis, University of Cape Town, 2011. http://hdl.handle.net/11427/9992.

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Vector fields found in electromagnetics are fundamentally different to vector fields found in other research areas such as structural mechanics. Electromagnetic vector fields possess different physical behaviour patterns and different properties in comparison to the other vector fields and therein lies the necessity of the development of a finite element which would be able to cater for these differences . The vector finite element was then developed and used within the finite element method specifically for the approximation of electromagnetic problems. This dissertation investigates the partial differential equation that governs eddy current behaviour. A finite element algorithm is coded and used to solve this partial differential equation and produce vector field simulations for fundamental eddy current problems.
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Larsson, Jesper. "Spring Element Evaluation Using Finite Element Analysis." Thesis, Högskolan i Jönköping, Tekniska Högskolan, 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:hj:diva-45837.

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Margetts, Lee. "Parallel finite element analysis." Thesis, University of Manchester, 2002. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:70784.

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Finite element analysis is versatile and used widely in a range of engineering andscientific disciplines. As time passes, the problems that engineers and designers areexpected to solve are becoming more computationally demanding. Often theproblems involve the interplay of two or more processes which are physically andtherefore mathematically coupled. Although parallel computers have been availablefor about twenty years to satisfy this demand, finite element analysis is still largelyexecuted on serial machines. Parallelisation appears to be difficult, even for thespecialist. Parallel machines, programming languages, libraries and tools are used toparallelise old serial programs with mixed success. In some cases the serialalgorithm is not naturally suitable for parallel computing. Some argue that rewritingthe programs from scratch, using an entirely different solution strategy is a betterapproach. Taking this point of view, using MPI for portability, a mesh free elementby element method for simple data distribution and the appropriate iterative solvers,a general parallel strategy for finite element analysis is developed and assessed.
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Mohseninia, Mohsen. "Concurrent finite element optimisation." Thesis, University of Hertfordshire, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358479.

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Rabadi, Kairas. "PERFORMANCE OF INTERFACE ELEMENTS IN THE FINITE ELEMENT METHOD." Master's thesis, University of Central Florida, 2004. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2188.

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The objective of this research is to assess the performance of interface elements in the finite element method. Interface elements are implemented in the finite element codes such as MSC.NASTRAN, which is used in this study. Interface elements in MSC.NASTRAN provide a tool to transition between a shell-meshed region to another shell-meshed region as well as from a shell-meshed region to a solid-meshed region. Often, in practice shell elements are layered on shell elements or on solid elements without the use of interface elements. This is potentially inaccurate arising in mismatched degrees of freedom. In the case of a shell-to-shell interface, we consider the case in which the two regions have mismatched nodes along the boundary. Interface elements are used to connect these mismatched nodes. The interface elements are especially useful in global/local analysis, where a region with a dense mesh interfaces to a region with a less dense mesh. Interface elements are used to help avoid using special transition elements between two meshed regions. This is desirable since the transition elements can be severely distorted and cause poor results. Accurate results are obtained in shell-shell and shell-solid combinations. The most interesting result is that not using interface elements can lead to severe inaccuracies. This difficulty is illustrated by computing the stress concentration of a sharp elliptical hole.
M.S.M.E.
Department of Mechanical, Materials and Aerospace Engineering;
Engineering and Computer Science
Mechanical Engineering
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Dietzsch, Julian. "Implementierung gemischter Finite-Element-Formulierungen für polykonvexe Verzerrungsenergiefunktionen elastischer Kontinua." Master's thesis, Universitätsbibliothek Chemnitz, 2017. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-217381.

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In der vorliegenden Arbeit wird ein gemischtes Element gegen Locking-Effekte untersucht. Dazu wird ein Fünf-Feld-Hu-Washizu-Funktional (CoFEM-Element) für lineare und quadratische Hexaeder-Elemente unter einer hyperelastischen, isotropen, polykonvexen sowie einer transversal-isotropen Materialformulierung implementiert. Die resultierenden nichtlinearen Gleichungen werden mithilfe eines Mehrebenen-NEWTON-RAPHSON-Verfahren unter Beachtung einer konsistenten Linearisierung gelöst. Als repräsentatives Beispiel der numerischen Untersuchungen dient der einseitig eingespannte Cook-Balken mit einer quadratischen Druckverteilung am Rand. Zur Beurteilung des CoFEM-Elements wird das räumliche Konvergenzverhalten für unterschiedliche Polynomgrade und für verschiedene Netze unter Beachtung der algorithmischen Effizienz untersucht
This paper presents a mixed finite element formulation of Hu-Washizu type (CoFEM) designed to reduce locking effects with respect to a linear and quadratic approximation in space. We consider a hyperelastic, isotropic, polyconvex material formulation as well as transverse isotropy. The resulting nonlinear algebraic equations are solved with a multilevel NEWTON-RAPHSON method. As a numerical example serves a cook-like cantilever beam with a quadratic distribution of in-plane load on the Neumann boundary. We analyze the spatial convergence with respect to the polynomial degree of the underlying Lagrange polynomials and with respect to the level of mesh refinement in terms of algorithmic efficiency
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Nava, José Manuel Franco. "Finite element versus boundary element analysis of finite strain elastic and elastoplastic fracture mechanics." Thesis, Cranfield University, 2004. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.401612.

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Books on the topic "Finite Element"

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1943-, Brauer John R., ed. What every engineer should know about finite element analysis. New York: M. Dekker, 1988.

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Lyu, Yongtao. Finite Element Method. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9.

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Okereke, Michael, and Simeon Keates. Finite Element Applications. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-67125-3.

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Dhatt, Gouri, Gilbert Touzot, and Emmanuel Lefrançois. Finite Element Method. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118569764.

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

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Dasgupta, Gautam. Finite Element Concepts. New York, NY: Springer New York, 2018. http://dx.doi.org/10.1007/978-1-4939-7423-8.

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Hayrettin, Kardestuncer, Norrie D. H, and Brezzi F. 1945-, eds. Finite element handbook. New York: McGraw-Hill, 1987.

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

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Szabó, Barna. Finite element analysis. NewYork: Wiley, 1991.

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Nguyen, Duc Thai. Finite Element Methods. Cham: Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-48788-0.

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Book chapters on the topic "Finite Element"

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Lyu, Yongtao. "Finite Element Analysis Using 3D Elements." In Finite Element Method, 159–69. Singapore: Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-3363-9_7.

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Henwood, David, and Javier Bonet. "Element computation." In Finite Elements, 133–65. London: Macmillan Education UK, 1998. http://dx.doi.org/10.1007/978-1-349-13898-2_8.

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Lyu, 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.

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Lyu, 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.

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Lyu, 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.

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Lyu, 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.

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Rieg, Frank, Reinhard Hackenschmidt, and Bettina Alber-Laukant. "Finite Elements and Element Matrices." In Finite Element Analysis for Engineers, 63–162. München: Carl Hanser Verlag GmbH & Co. KG, 2014. http://dx.doi.org/10.3139/9781569904886.004.

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Quarteroni, Alfio. "Elements of finite element programming." In Numerical Models for Differential Problems, 179–212. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49316-9_8.

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Quarteroni, Alfio. "Elements of finite element programming." In Numerical Models for Differential Problems, 179–212. Milano: Springer Milan, 2014. http://dx.doi.org/10.1007/978-88-470-5522-3_8.

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Ern, Alexandre, and Jean-Luc Guermond. "Finite element generation." In Finite Elements I, 101–10. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-56341-7_9.

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Conference papers on the topic "Finite Element"

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SMITH, BV. "FINITE ELEMENT PRINCIPLES." In Finite Elements Applied to Sonar Transducers 1988. Institute of Acoustics, 2024. http://dx.doi.org/10.25144/22094.

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MCVEE, JD. "QUALITY ASSURANCE OF STRUCTURAL FINITE ELEMENT MODELS." In Finite Elements Applied to Sonar Transducers 1988. Institute of Acoustics, 2024. http://dx.doi.org/10.25144/22096.

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"Finite Element Analysis of UCSD Shear Columns." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11637.

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BRIND, RJ. "FINITE ELEMENT MODELLING OF THE A.R.E. LOW FREQUENCY FLEXTENSIONAL TRANSDUCER." In Finite Elements Applied to Sonar Transducers 1988. Institute of Acoustics, 2024. http://dx.doi.org/10.25144/22099.

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GALLAHER, AB. "FIRST EXPERIENCES USING A COMMERCIAL FINITE ELEMENT PACKAGE - A CASE HISTORY." In Finite Elements Applied to Sonar Transducers 1988. Institute of Acoustics, 2024. http://dx.doi.org/10.25144/22093.

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"A Beam Finite Element for Shear-Critical RC Beams." In SP-237: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2006. http://dx.doi.org/10.14359/18260.

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"Cyclic Analysis Of RCC Columns by Macro-Element Approach." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11639.

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"Stress Hybrid Embedded Crack Element Analysis for Concrete Fracture." In SP-205: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2002. http://dx.doi.org/10.14359/11646.

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Strela, Vasily, and Gilbert Strang. "Finite element multiwavelets." In SPIE's 1994 International Symposium on Optics, Imaging, and Instrumentation, edited by Andrew F. Laine and Michael A. Unser. SPIE, 1994. http://dx.doi.org/10.1117/12.188771.

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"FE Analysis of Steel Fiber Reinforced Concrete Beams Failing in Shear: Variable Engagement Model." In SP-237: Finite Element Analysis of Reinforced Concrete Structures. American Concrete Institute, 2006. http://dx.doi.org/10.14359/18246.

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Reports on the topic "Finite Element"

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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), December 2015. http://dx.doi.org/10.2172/1227915.

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Zak, Adam R. Generalized Finite Element Gap Model. Fort Belvoir, VA: Defense Technical Information Center, August 1991. http://dx.doi.org/10.21236/ada240559.

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Blanco, Alejandro G. Towards Intelligent Finite Element Analysis. Fort Belvoir, VA: Defense Technical Information Center, September 1990. http://dx.doi.org/10.21236/ada228672.

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Bohn, Robert B., and Edward J. Garboczi. User manual for finite element and finite difference programs:. Gaithersburg, MD: National Institute of Standards and Technology, 2003. http://dx.doi.org/10.6028/nist.ir.6997.

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Beachkofski, Brian. An Investigation in Finite Element Theory of Shear Locked Elements. Fort Belvoir, VA: Defense Technical Information Center, June 2000. http://dx.doi.org/10.21236/ada387308.

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Jiang, Huabei. Finite Element Based Photon Migration Imaging. Fort Belvoir, VA: Defense Technical Information Center, May 2002. http://dx.doi.org/10.21236/ada405449.

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Jiang, Huabei. Finite Element Based Photon Migration Imaging. Fort Belvoir, VA: Defense Technical Information Center, May 2003. http://dx.doi.org/10.21236/ada416641.

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Taylor, L. M., D. P. Flanagan, and W. C. Mills-Curran. GENESIS finite element mesh file format. Office of Scientific and Technical Information (OSTI), May 1986. http://dx.doi.org/10.2172/5609863.

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Peterson, Jerrod P. Diffusion of Designerly Finite Element Analysis. Office of Scientific and Technical Information (OSTI), May 2015. http://dx.doi.org/10.2172/1504608.

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Lynch, Daniel R., and Christopher E. Naimie. Finite Element Modeling of Coastal Circulation. Fort Belvoir, VA: Defense Technical Information Center, September 1997. http://dx.doi.org/10.21236/ada628758.

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