Academic literature on the topic 'Higher-Order stabilized finite elements'

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Journal articles on the topic "Higher-Order stabilized finite elements"

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Maniatty, Antoinette M., Yong Liu, Ottmar Klaas, and Mark S. Shephard. "Higher order stabilized finite element method for hyperelastic finite deformation." Computer Methods in Applied Mechanics and Engineering 191, no. 13-14 (2002): 1491–503. http://dx.doi.org/10.1016/s0045-7825(01)00335-8.

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Liu, Fushen, and Ronaldo I. Borja. "Stabilized low-order finite elements for frictional contact with the extended finite element method." Computer Methods in Applied Mechanics and Engineering 199, no. 37-40 (2010): 2456–71. http://dx.doi.org/10.1016/j.cma.2010.03.030.

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Feng, Gang Chen and Minfu. "Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements." Advances in Applied Mathematics and Mechanics 10, no. 1 (2018): 77–99. http://dx.doi.org/10.4208/aamm.2016.m1182.

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Kimmritz, Madlen, and Malte Braack. "Equal-order Finite Elements for the Hydrostatic Stokes Problem." Computational Methods in Applied Mathematics 12, no. 3 (2012): 306–29. http://dx.doi.org/10.2478/cmam-2012-0010.

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AbstractSimulation of flow phenomena in the ocean and in other large but relatively flat basins are typically based on the so-called primitive equations, which, among others, result from application of the hydrostatic approximation. The crucial premise for this approximation is the dominance of the hydrostatic balance over remaining vertical flow phenomena in large but flat domains, which leads to a decomposition of the three-dimensional (3D) pressure field into a hydrostatic part and an only two-dimensional (2D) hydrodynamic part. The former pressure can be obtained by solving Ordinary Differ
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Li, Wentao, and Changfu Wei. "Stabilized low-order finite elements for strongly coupled poromechanical problems." International Journal for Numerical Methods in Engineering 115, no. 5 (2018): 531–48. http://dx.doi.org/10.1002/nme.5815.

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Li, Minghao, Dongyang Shi, and Ying Dai. "Stabilized low order finite elements for Stokes equations with damping." Journal of Mathematical Analysis and Applications 435, no. 1 (2016): 646–60. http://dx.doi.org/10.1016/j.jmaa.2015.10.040.

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AURADA, MARKUS, JENS M. MELENK, and DIRK PRAETORIUS. "MIXED CONFORMING ELEMENTS FOR THE LARGE-BODY LIMIT IN MICROMAGNETICS." Mathematical Models and Methods in Applied Sciences 24, no. 01 (2013): 113–44. http://dx.doi.org/10.1142/s0218202513500486.

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We introduce a stabilized conforming mixed finite element method for a macroscopic model in micromagnetics. We show well-posedness of the discrete problem for higher order elements in two and three dimensions, develop a full a priori analysis for lowest order elements, and discuss the extension of the method to higher order elements. We introduce a residual-based a posteriori error estimator and present an adaptive strategy. Numerical examples illustrate the performance of the method.
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Tobiska, Lutz. "Analysis of a new stabilized higher order finite element method for advection–diffusion equations." Computer Methods in Applied Mechanics and Engineering 196, no. 1-3 (2006): 538–50. http://dx.doi.org/10.1016/j.cma.2006.05.009.

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Pastor, M., O. C. Zienkiewicz, T. Li, L. Xiaoqing, and M. Huang. "Stabilized finite elements with equal order of interpolation for soil dynamics problems." Archives of Computational Methods in Engineering 6, no. 1 (1999): 3–33. http://dx.doi.org/10.1007/bf02828328.

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Wang, Aiwen, Xin Zhao, Peihua Qin, and Dongxiu Xie. "An Oseen Two-Level Stabilized Mixed Finite-Element Method for the 2D/3D Stationary Navier-Stokes Equations." Abstract and Applied Analysis 2012 (2012): 1–12. http://dx.doi.org/10.1155/2012/520818.

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We investigate an Oseen two-level stabilized finite-element method based on the local pressure projection for the 2D/3D steady Navier-Stokes equations by the lowest order conforming finite-element pairs (i.e.,Q1−P0andP1−P0). Firstly, in contrast to other stabilized methods, they are parameter free, no calculation of higher-order derivatives and edge-based data structures, implemented at the element level with minimal cost. In addition, the Oseen two-level stabilized method involves solving one small nonlinear Navier-Stokes problem on the coarse mesh with mesh sizeH, a large general Stokes equa
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Dissertations / Theses on the topic "Higher-Order stabilized finite elements"

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Liao, Qifeng. "Error estimation and stabilization for low order finite elements." Thesis, University of Manchester, 2010. https://www.research.manchester.ac.uk/portal/en/theses/error-estimation-and-stabilization-for-low-order-finite-elements(ba7fc33b-b154-404b-b608-fc8eeabd9e58).html.

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Simon, Kristin [Verfasser]. "Higher order stabilized surface finite element methods for diffusion-convection-reaction equations on surfaces with and without boundary / Kristin Simon." Magdeburg : Universitätsbibliothek, 2017. http://d-nb.info/1147834520/34.

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Atwell, Jeanne A. "Proper Orthogonal Decomposition for Reduced Order Control of Partial Differential Equations." Diss., Virginia Tech, 2000. http://hdl.handle.net/10919/26985.

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Numerical models of PDE systems can involve very large matrix equations, but feedback controllers for these systems must be computable in real time to be implemented on physical systems. Classical control design methods produce controllers of the same order as the numerical models. Therefore, emph{reduced} order control design is vital for practical controllers. The main contribution of this research is a method of control order reduction that uses a newly developed low order basis. The low order basis is obtained by applying Proper Orthogonal Decomposition (POD) to a set of functional gains
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Gross, Raphaël. "Prise en compte de la transition laminaire / turbulent dans un code Navier-Stokes éléments finis non structurés." Thesis, Toulouse, ISAE, 2015. http://www.theses.fr/2015ESAE0022/document.

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La thèse vise à intégrer des critères de transition dans le solveur Navier-Stokes non structuré Aether utilisé chez Dassault Aviation. Une méthodologie de prévision de la transition laminaire/turbulent a été élaborée et implémentée dans le solveur RANS Aether. Deux stratégies de calcul de transition ont été testées. Soit Aether est couplé avec le code de couche limite de l’ONERA 3C3D. Soit la position de transition est calculée en utilisant directement les profils de vitesse RANS. Les deux méthodes ont été testées pour des écoulements subsoniques et transsoniques. L’influence des solveurs numé
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Bucalém, Miguel Luiz. "On higher-order mixed-interpolated general shell finite elements." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/60125.

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鍾偉昌 and Wai-cheong Chung. "Geometrically nonlinear analysis of plates using higher order finite elements." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1986. http://hub.hku.hk/bib/B31207601.

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Chung, Wai-cheong. "Geometrically nonlinear analysis of plates using higher order finite elements /." [Hong Kong : University of Hong Kong], 1986. http://sunzi.lib.hku.hk/hkuto/record.jsp?B12225022.

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Sticko, Simon. "Towards higher order immersed finite elements for the wave equation." Licentiate thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-301937.

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We consider solving the scalar wave equation using immersed finite elements. Such a method might be useful, for instance, in scattering problems when the geometry of the domain is not known a priori. For hyperbolic problems, the amount of computational work per dispersion error is generally lower when using higher order methods. This serves as motivation for considering a higher order immersed method. One problem in immersed methods is how to enforce boundary conditions. In the present work, boundary conditions are enforced weakly using Nitsche's method. This leads to a symmetric weak formulat
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Ben, Romdhane Mohamed. "Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/39258.

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A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have been developed to solve these kinds of problems and handle the non-smooth behavior of the input data and/or the solution across the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecew
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Alon, Yair. "Analysis of thick composite plates using higher order three dimensional finite elements." Thesis, Monterey, California : Naval Postgraduate School, 1990. http://handle.dtic.mil/100.2/ADA243188.

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Thesis (M.S. in Aeronautical Engineering and Aeronautics and Astronautics Engineers Degree)--Naval Postgraduate School, December 1990.<br>Thesis Advisor(s): Kolar, Ramesh. Second Reader: Lindsey, G. H. "December 1990." Description based on title screen as viewed on March 30, 2010. DTIC Descriptor(s): Thickness, stability, composite materials, laminates, theory, elastic properties, orientation(direction), composite structures, three dimensional, solutions(general), integration, plates, anisotropy, isotropism, convergence, thinness, behavior, nonlinear analysis, static tests, formulas(mathematic
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Books on the topic "Higher-Order stabilized finite elements"

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Mulder, T. F. O. De. FEGAS: A finite element solver for 2D viscous incompressible gas flows using SUPG/PSPG stabilized piecewise linear equal-order velocity-pressure interpolation on unstructured triangular grids. von Karman Institute for Fluid Dynamics, 1994.

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T. F. O. de Mulder. FEGAS: A finite element solver for 2D viscous incompressible gas flows using SUPG/PSPG stabilized piecewise linear equal-order velocity-pressure interpolation on unstructured triangular grids. Von Karman Institute for Fluid Dynamics, 1994.

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Miller, Steven Scott. Investigation of the higher-order elements in the SAMSON2 code. 1986.

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Simple formulas for strain-energy release rates with higher order and singular finite elements. National Aeronautics and Space Administration, Langley Research Center, 1987.

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Book chapters on the topic "Higher-Order stabilized finite elements"

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Chalot, Frédéric, and Pierre-Elie Normand. "Higher-Order Stabilized Finite Elements in an Industrial Navier-Stokes Code." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-03707-8_11.

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Chalot, F., F. Dagrau, M. Mallet, P. E. Normand, and P. Yser. "Higher-Order RANS and DES in an Industrial Stabilized Finite Element Code." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-12886-3_23.

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Ern, Alexandre, and Jean-Luc Guermond. "Higher-order approximation." In Finite Elements III. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_82.

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Ern, Alexandre, and Jean-Luc Guermond. "Higher-order approximation and limiting." In Finite Elements III. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-57348-5_83.

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Eslami, M. Reza. "One-Dimensional Higher Order Elements." In Finite Elements Methods in Mechanics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08037-6_14.

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Eslami, M. Reza. "Two-Dimensional Higher Order Elements." In Finite Elements Methods in Mechanics. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08037-6_15.

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Kaveh, A. "Optimal Force Method for FEMS: Higher Order Elements." In Computational Structural Analysis and Finite Element Methods. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02964-1_7.

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Shaydurov, Vladimir, and Tianshi Xu. "Superconvergence of Some Linear and Quadratic Functionals for Higher-Order Finite Elements." In Finite Difference Methods,Theory and Applications. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-20239-6_8.

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Verhoosel, Clemens V., Michael A. Scott, Michael J. Borden, Thomas J. R. Hughes, and René de Borst. "Discretization of Higher Order Gradient Damage Models Using Isogeometric Finite Elements." In Damage Mechanics of Cementitious Materials and Structures. John Wiley & Sons, Inc., 2013. http://dx.doi.org/10.1002/9781118562086.ch4.

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Mukherjee, Sougata, Dongcheng Lu, Subhrajit Dutta, Balaji Raghavan, Piotr Breitkopf, and Manyu Xiao. "Topology Optimization of Structures Using Higher Order Finite Elements in Analysis." In Modeling, Simulation and Optimization. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-15-9829-6_61.

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Conference papers on the topic "Higher-Order stabilized finite elements"

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Anderson, William K., and James Newman. "High-Order Stabilized Finite Elements on Dynamic Meshes." In 2018 AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 2018. http://dx.doi.org/10.2514/6.2018-1307.

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Thompson, Lonny L., and Prapot Kunthong. "A Residual Based Variational Method for Reducing Dispersion Error in Finite Element Methods." In ASME 2005 International Mechanical Engineering Congress and Exposition. ASMEDC, 2005. http://dx.doi.org/10.1115/imece2005-80551.

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A difficulty of the standard Galerkin finite element method has been the ability to accurately resolve oscillating wave solutions at higher frequencies. Many alternative methods have been developed including high-order methods, stabilized Galerkin methods, multi-scale variational methods, and other wave-based discretization methods. In this work, consistent residuals, both in the form of least-squares and gradient least-squares are linearly combined and added to the Galerkin variational Helmholtz equation to form a new generalized Galerkin least-squares method (GGLS). By allowing the stabiliza
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White, Joshua A., and Ronaldo I. Borja. "Stabilized Finite Element Methods for Coupled Solid-Deformation/Fluid-Flow in Porous Geomaterials." In ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-66524.

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We present a finite element formulation for saturated and partially saturated porous geomaterials undergoing elastoplastic deformations. The deforming body is treated as a multiphase continuum, and the governing mass and momentum balance equations are solved in a fully coupled manner. The constitutive behavior of the solid is based on a critical state plasticity model that explicitly accounts for the effect of capillary pressures on the geometry of the yield surface in the partially saturated regime. It is well known, however, that mixed formulations of the type examined here may lead to unsta
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Suwelack, Stefan, Dimitar Lukarski, Vincent Heuveline, Rüdiger Dillmann, and Stefanie Speidel. "Accurate surface embedding for higher order finite elements." In the 12th ACM SIGGRAPH/Eurographics Symposium. ACM Press, 2013. http://dx.doi.org/10.1145/2485895.2485914.

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Cirigliano, Daniele, Felix Grimm, Peter Kutne, and Manfred Aigner. "Thermo-Structural Analysis of a Micro Gas Turbine Jet- and Recirculation- Stabilized Combustion Chamber." In ASME Turbo Expo 2020: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/gt2020-16285.

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Abstract Modern Micro Gas Turbines must be capable to operate at different load points, in order to fulfill the demand of Combined Heat and Power for which they are designed. The combustion chamber structures are therefore subjected to regularly variable thermal loads, yet remaining physically constrained at the rest of the structure. Hence, they experience variable metal temperatures, temperature gradients and thermal stresses which can lead to thermal failure. Typical failure mechanisms in combustion chambers are fatigue and creep. Oxidation can also play an important role. In the present st
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Arzani, Amirhossein, Nathan Wilson, and Shawn C. Shadden. "CFD Challenge: Solutions Using a Second Order Accurate, Stabilized Finite Element Solver." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80661.

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Dr. Shadden’s group focuses on dynamical systems methods to quantify complex flow, with particular focus on the cardiovascular applications in order to better understand hemodynamic phenomena. For this CFD challenge, simulations were performed by Amirhossein Arzani using a customized version of the finite element solver integrated into SimVascular [1].
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Gould, Dana. "Radiation heat transfer between diffuse-gray surfaces using higher order finite elements." In 34th Thermophysics Conference. American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-2371.

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Hamiche, Karim, Hadrien Bériot, and Gwenael Gabard. "A Stabilised High-Order Finite Element Model for the Linearised Euler Equations." In 21st AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-3281.

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Park, Sungho, Seung Kim, and Rakesh Kapania. "Finite elements in time domain for optimal control using higher-order shape functions." In 41st Structures, Structural Dynamics, and Materials Conference and Exhibit. American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-1528.

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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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Reports on the topic "Higher-Order stabilized finite elements"

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Thompson, David C., Philippe Pierre Pebay, Richard H. Crawford, and Rahul Vinay Khardekar. Visualization of higher order finite elements. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/919127.

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J. Chen, H.R. Strauss, S.C. Jardin, et al. Higher Order Lagrange Finite Elements In M3D. Office of Scientific and Technical Information (OSTI), 2004. http://dx.doi.org/10.2172/836490.

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Thompson, David C., and Philippe Pierre Pebay. Visualizing higher order finite elements. Final report. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/876232.

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Thompson, David, and Philippe Pebay. Visualizing Higher Order Finite Elements: FY05 Yearly Report. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/1143395.

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Chen, J., H. R. Strauss, S. C. Jardin, et al. Application of Mass Lumped Higher Order Finite Elements. Office of Scientific and Technical Information (OSTI), 2005. http://dx.doi.org/10.2172/934516.

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Verhoosel, Clemens V., Michael A. Scott, Michael J. Borden, Thomas J. Hughes, and Ren de Borst. Discretization of higher-order gradient damage models using isogeometric finite elements. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555369.

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Jiang, W., and Benjamin W. Spencer. Modeling 3D PCMI using the Extended Finite Element Method with higher order elements. Office of Scientific and Technical Information (OSTI), 2017. http://dx.doi.org/10.2172/1409274.

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Dohrmann, Clark. Spectral Equivalence Properties of Higher-Order Tensor Product Finite Elements and Applications to Preconditioning. Office of Scientific and Technical Information (OSTI), 2021. http://dx.doi.org/10.2172/1761047.

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Riveros, Guillermo, Felipe Acosta, Reena Patel, and Wayne Hodo. Computational mechanics of the paddlefish rostrum. Engineer Research and Development Center (U.S.), 2021. http://dx.doi.org/10.21079/11681/41860.

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Purpose – The rostrum of a paddlefish provides hydrodynamic stability during feeding process in addition to detect the food using receptors that are randomly distributed in the rostrum. The exterior tissue of the rostrum covers the cartilage that surrounds the bones forming interlocking star shaped bones. Design/methodology/approach – The aim of this work is to assess the mechanical behavior of four finite element models varying the type of formulation as follows: linear-reduced integration, linear-full integration, quadratic-reduced integration and quadratic-full integration. Also presented i
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