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Relevant bibliographies by topics / Weighted Discontinuous Galerkin method

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Academic literature on the topic 'Weighted Discontinuous Galerkin method'

Author: Grafiati

Published: 4 May 2024

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Journal articles on the topic "Weighted Discontinuous Galerkin method"

1

Zhang, Rongpei, Xijun Yu, Jiang Zhu, Abimael F. D. Loula, and Xia Cui. "Weighted Interior Penalty Method with Semi-Implicit Integration Factor Method for Non-Equilibrium Radiation Diffusion Equation." Communications in Computational Physics 14, no. 5 (2013): 1287–303. http://dx.doi.org/10.4208/cicp.190612.010313a.

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AbstractWeighted interior penalty discontinuous Galerkin method is developed to solve the two-dimensional non-equilibrium radiation diffusion equation on unstructured mesh. There are three weights including the arithmetic, the harmonic, and the geometric weight in the weighted discontinuous Galerkin scheme. For the time discretization, we treat the nonlinear diffusion coefficients explicitly, and apply the semi-implicit integration factor method to the nonlinear ordinary differential equations arising from discontinuous Galerkin spatial discretization. The semi-implicit integration factor meth

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Zhang, Rongpei, Xijun Yu, Mingjun Li, and Zhen Wang. "A semi-implicit integration factor discontinuous Galerkin method for the non-linear heat equation." Thermal Science 23, no. 3 Part A (2019): 1623–28. http://dx.doi.org/10.2298/tsci180921232z.

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In this paper, a new discontinuous Galerkin method is employed to study the non-linear heat conduction equation with temperature dependent thermal conductivity. We present practical implementation of the new discontinuous Galerkin scheme with weighted flux averages. The second-order implicit integration factor for time discretization method is applied to the semi discrete form. We obtain the L2 stability of the discontinuous Galerkin scheme. Numerical examples show that the error estimates are of second order when linear element approximations are applied. The method is applied to the non-line

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He, Xijun, Dinghui Yang, and Hao Wu. "A weighted Runge–Kutta discontinuous Galerkin method for wavefield modelling." Geophysical Journal International 200, no. 3 (2015): 1389–410. http://dx.doi.org/10.1093/gji/ggu487.

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Liu, Yun-Long, Chi-Wang Shu, and A.-Man Zhang. "Weighted ghost fluid discontinuous Galerkin method for two-medium problems." Journal of Computational Physics 426 (February 2021): 109956. http://dx.doi.org/10.1016/j.jcp.2020.109956.

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Rustum, Ibrahim M., and ElHadi I. Elhadi. "Totally Volume Integral of Fluxes for Discontinuous Galerkin Method (TVI-DG) I-Unsteady Scalar One Dimensional Conservation Laws." Al-Mukhtar Journal of Sciences 32, no. 1 (2017): 36–45. http://dx.doi.org/10.54172/mjsc.v32i1.124.

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The volume integral of Riemann flux in the discontinuous Galerkin (DG) method is introduced in this paper. The boundaries integrals of the fluxes (Riemann flux) are transformed into volume integral. The new family of DG method is accomplished by applying divergence theorem to the boundaries integrals of the flux. Therefore, the (DG) method is independent of the boundaries integrals of fluxes (Riemann flux) at the cell (element) boundaries as in classical (DG) methods. The modified streamline upwind Petrov-Galerkin method is used to capture the oscillation of unphysical flow for shocked flow pr

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Qiu, Chujun, Dinghui Yang, Xijun He, and Jingshuang Li. "A weighted Runge-Kutta discontinuous Galerkin method for reverse time migration." GEOPHYSICS 85, no. 6 (2020): S343—S355. http://dx.doi.org/10.1190/geo2019-0193.1.

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Reverse time migration (RTM) is widely used in the industry because of its ability to handle complex geologic models including steeply dipping interfaces. The quality of images produced by RTM is significantly influenced by the performance of the numerical methods used to simulate the wavefields. Recently, a weighted Runge-Kutta discontinuous Galerkin (WRKDG) method has been developed to solve the wave equation, which is stable, explicit, and efficient in parallelization and suppressing numerical dispersion. By incorporating two different weights for the time discretization, we have obtained a

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Noels, L., and R. Radovitzky. "Alternative Approaches for the Derivation of Discontinuous Galerkin Methods for Nonlinear Mechanics." Journal of Applied Mechanics 74, no. 5 (2006): 1031–36. http://dx.doi.org/10.1115/1.2712228.

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Discontinuous Galerkin methods are commonly derived by seeking a weak statement of the governing differential equations via a weighted-average approach allowing for discontinuous fields at the element interfaces of the discretization. In order to ensure consistency and stability of the formulation, this approach requires the definition of a numerical flux and a stabilization term. Discontinuous Galerkin methods may also be formulated from a linear combination of the governing and compatibility equations weighted by suitable operators. A third approach based on a variational statement of a gene

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Zhu, Jun, and Jianxian Qiu. "Runge-Kutta Discontinuous Galerkin Method Using Weno-Type Limiters: Three-Dimensional Unstructured Meshes." Communications in Computational Physics 11, no. 3 (2012): 985–1005. http://dx.doi.org/10.4208/cicp.300810.240511a.

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AbstractThis paper further considers weighted essentially non-oscillatory (WENO) and Hermite weighted essentially non-oscillatory (HWENO) finite volume methods as limiters for Runge-Kutta discontinuous Galerkin (RKDG) methods to solve problems involving nonlinear hyperbolic conservation laws. The application discussed here is the solution of 3-D problems on unstructured meshes. Our numerical tests again demonstrate this is a robust and high order limiting procedure, which simultaneously achieves high order accuracy and sharp non-oscillatory shock transitions.

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Bassonon, Yibour Corentin, and Arouna Ouedraogo. "Discontinuous Galerkin method for linear parabolic equations with L^1-data." Gulf Journal of Mathematics 16, no. 2 (2024): 122–34. http://dx.doi.org/10.56947/gjom.v16i2.1874.

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In this work, we examine the discontinuous Galerkin method for parabolic linear problem with data in L1(Ω × (0, T)). On one hand, using a Euler time advancing scheme that goes backwards, we can discretize a time interval. Furthermore, the discretization of space is based on Symmetric Weighted Interior Penalty (SWIPG) method. We use the technique of construction of the renormalized solution to obtain existence of the discrete solution. Then, our research demonstrates that the discrete solution converges in L1(Q) to the unique renormalized solution of the problem, where Q= Ω × (0, T). In the cas

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Zhang, Fan, Tiegang Liu, and Moubin Liu. "A third-order weighted variational reconstructed discontinuous Galerkin method for solving incompressible flows." Applied Mathematical Modelling 91 (March 2021): 1037–60. http://dx.doi.org/10.1016/j.apm.2020.10.011.

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Dissertations / Theses on the topic "Weighted Discontinuous Galerkin method"

1

Johansson, August. "Duality-based adaptive finite element methods with application to time-dependent problems." Doctoral thesis, Umeå : Institutionen för matematik och matematisk statistik, Umeå universitet, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-33872.

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Marcati, Carlo. "Discontinuous hp finite element methods for elliptic eigenvalue problems with singular potentials : with applications to quantum chemistry." Thesis, Sorbonne université, 2018. http://www.theses.fr/2018SORUS349.

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Dans cette thèse, on étudie des problèmes aux valeurs propres elliptiques avec des potentiels singuliers, motivés par plusieurs modèles en physique et en chimie quantique, et on propose une méthode des éléments finis de type hp discontinus (dG) adaptée pour l’approximation des modes propres. Dans ces modèles, arrivent naturellement des potentiels singuliers (associés à l’interaction entre noyaux et électrons). Notre analyse commence par une étude de la régularité elliptique dans des espaces de Sobolev à poids. On montre comment un opérateur elliptique avec potentiel singulier est un isomorphis

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Gürkan, Ceren. "Extended hybridizable discontinuous Galerkin method." Doctoral thesis, Universitat Politècnica de Catalunya, 2018. http://hdl.handle.net/10803/664035.

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This thesis proposes a new numerical technique: the eXtended Hybridizable Discontinuous Galerkin (X-HDG) Method, to efficiently solve problems including moving boundaries and interfaces. It aims to outperform available methods and improve the results by inheriting favored properties of Discontinuous Galerkin (HDG) together with an explicit interface definition. X-HDG combines the Hybridizable HDG method with an eXtended Finite Element (X-FEM) philosophy, with a level set description of the interface, to form an hp convergent, high order unfitted numerical method. HDG outperforms other Disconti

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Kaufmann, Willem. "Extended Hydrodynamics Using the Discontinuous-Galerkin Hancock Method." Thesis, Université d'Ottawa / University of Ottawa, 2021. http://hdl.handle.net/10393/42672.

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Moment methods derived from the kinetic theory of gases can be used for the prediction of continuum and non-equilibrium flows and offer numerical advantages over other methods, such as the Navier-Stokes model. Models developed in this fashion are described by first-order hyperbolic partial differential equations (PDEs) with stiff local relaxation source terms. The application of discontinuous-Galerkin (DG) methods for the solution of such models has many benefits. Of particular interest is the third-order accurate, coupled space-time discontinuous-Galerkin Hancock (DGH) method. This scheme

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Toprakseven, Suayip. "Error Analysis of Extended Discontinuous Galerkin (XdG) Method." University of Cincinnati / OhioLINK, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1418733307.

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Elfverson, Daniel. "Discontinuous Galerkin Multiscale Methods for Elliptic Problems." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-138960.

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In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale method (DGMM) are proposed, both based on the variational multiscale method for solving partial differential equations numerically. The solution is decoupled into a coarse and a fine scale contribution, where the fine-scale contribution is computed on patches with localized right hand side. Numerical experiments are presented where exponential decay of the error is observed when increasing the size of the patches for both CGMM and DGMM. DGMM gives much better accuracy when the same size of the

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Galbraith, Marshall C. "A Discontinuous Galerkin Chimera Overset Solver." University of Cincinnati / OhioLINK, 2013. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1384427339.

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Lui, Ho Man. "Runge-Kutta Discontinuous Galerkin method for the Boltzmann equation." Thesis, Massachusetts Institute of Technology, 2006. http://hdl.handle.net/1721.1/39215.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2006.<br>Includes bibliographical references (p. 85-87).<br>In this thesis we investigate the ability of the Runge-Kutta Discontinuous Galerkin (RKDG) method to provide accurate and efficient solutions of the Boltzmann equation. Solutions of the Boltzmann equation are desirable in connection to small scale science and technology because when characteristic flow length scales become of the order of, or smaller than, the molecular mean free path, the Navier-Stokes description fails. The prevale

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Bala, Chandran Ram. "Development of discontinuous Galerkin method for nonlocal linear elasticity." Thesis, Massachusetts Institute of Technology, 2007. http://hdl.handle.net/1721.1/41730.

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Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007.<br>Includes bibliographical references (p. 75-81).<br>A number of constitutive theories have arisen describing materials which, by nature, exhibit a non-local response. The formulation of boundary value problems, in this case, leads to a system of equations involving higher-order derivatives which, in turn, results in requirements of continuity of the solution of higher order. Discontinuous Galerkin methods are particularly attractive toward this end, as they provide a means to naturall

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Ekström, Sven-Erik. "A vertex-centered discontinuous Galerkin method for flow problems." Licentiate thesis, Uppsala universitet, Avdelningen för beräkningsvetenskap, 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-284321.

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The understanding of flow problems, and finding their solution, has been important for most of human history, from the design of aqueducts to boats and airplanes. The use of physical miniature models and wind tunnels were, and still are, useful tools for design, but with the development of computers, an increasingly large part of the design process is assisted by computational fluid dynamics (CFD). Many industrial CFD codes have their origins in the 1980s and 1990s, when the low order finite volume method (FVM) was prevalent. Discontinuous Galerkin methods (DGM) have, since the turn of the cen

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Books on the topic "Weighted Discontinuous Galerkin method"

1

Dolejší, Vít, and Miloslav Feistauer. Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3.

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Harold, Atkins, Keyes David, and Langley Research Center, eds. Parallel implementation of the discontinuous Galerkin method. National Aeronautics and Space Administration, Langley Research Center, 1999.

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3

Cockburn, B. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. ICASE, NASA Langley Research Center, 2000.

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4

Chi-Wang, Shu, and Institute for Computer Applications in Science and Engineering., eds. Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. ICASE, NASA Langley Research Center, 2000.

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5

1967-, Ern Alexandre, ed. Mathematical aspects of discontinuous galerkin methods. Springer, 2012.

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6

United States. National Aeronautics and Space Administration., ed. An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws. The University of Texas at Austin ; [Washington, DC, 1994.

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United States. National Aeronautics and Space Administration., ed. An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws. The University of Texas at Austin ; [Washington, DC, 1994.

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United States. National Aeronautics and Space Administration., ed. An HP-adaptive discontinuous Galerkin method for hyperbolic conservation laws. The University of Texas at Austin ; [Washington, DC, 1994.

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9

Liu, Jianguo. A high order discontinuous Galerkin method for 2D incompressible flows. National Aeronautics and Space Administration, Langley Research Center, 1999.

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10

Cockburn, B. The Runge-Kutta discontinuous Galerkin method for convection-dominated problems. National Aeronautics and Space Administration, Langley Research Center, 2000.

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Book chapters on the topic "Weighted Discontinuous Galerkin method"

1

Zunino, Paolo. "Mortar and Discontinuous Galerkin Methods Based on Weighted Interior Penalties." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-75199-1_38.

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Dolejší, Vít, and Miloslav Feistauer. "Introduction." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_1.

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Dolejší, Vít, and Miloslav Feistauer. "Fluid-Structure Interaction." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_10.

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Dolejší, Vít, and Miloslav Feistauer. "DGM for Elliptic Problems." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_2.

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Dolejší, Vít, and Miloslav Feistauer. "Methods Based on a Mixed Formulation." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_3.

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Dolejší, Vít, and Miloslav Feistauer. "DGM for Convection-Diffusion Problems." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_4.

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Dolejší, Vít, and Miloslav Feistauer. "Space-Time Discretization by Multistep Methods." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_5.

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Dolejší, Vít, and Miloslav Feistauer. "Space-Time Discontinuous Galerkin Method." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_6.

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Dolejší, Vít, and Miloslav Feistauer. "Generalization of the DGM." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_7.

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Dolejší, Vít, and Miloslav Feistauer. "Inviscid Compressible Flow." In Discontinuous Galerkin Method. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_8.

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Conference papers on the topic "Weighted Discontinuous Galerkin method"

1

Xijun, He, Yang Dinghui, and Zhou Yanjie. "A weighted Runge-Kutta discontinuous Galerkin method for wavefield modeling." In SEG Technical Program Expanded Abstracts 2014. Society of Exploration Geophysicists, 2014. http://dx.doi.org/10.1190/segam2014-0579.1.

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Thompson, Lonny L. "Implementation of Non-Reflecting Boundaries in a Space-Time Finite Element Method for Structural Acoustics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/vib-3841.

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Abstract This paper examines the development and implementation of second-order accurate non-reflecting boundary conditions in a time-discontinuous Galerkin finite element method for structural acoustics in unbounded domains. The formulation is based on a multi-field space-time variational equation for both the acoustic fluid and elastic solid together with their interaction. This approach to the modeling of the temporal variables allows for the consistent use of high-order accurate adaptive solution strategies for unstructured finite elements in both time and space. An important feature of th

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Peyret, Christophe, and Philippe Delorme. "Discontinuous Galerkin Method for Computational Aeroacoustics." In 12th AIAA/CEAS Aeroacoustics Conference (27th AIAA Aeroacoustics Conference). American Institute of Aeronautics and Astronautics, 2006. http://dx.doi.org/10.2514/6.2006-2568.

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Kim, Cheolwan, H. Chang, and Jang Yeon Lee. "Compact Higher-order Discontinuous Galerkin Method." In 11th AIAA/CEAS Aeroacoustics Conference. American Institute of Aeronautics and Astronautics, 2005. http://dx.doi.org/10.2514/6.2005-2824.

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Le Bouteiller, P., M. Ben Jemaa, H. Chauris, et al. "Discontinuous Galerkin Method for TTI Eikonal Equation." In 79th EAGE Conference and Exhibition 2017. EAGE Publications BV, 2017. http://dx.doi.org/10.3997/2214-4609.201701253.

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das Gupta, Arnob, and Subrata Roy. "Discontinuous Galerkin Method for Solving Magnetohydrodynamic Equations." In 53rd AIAA Aerospace Sciences Meeting. American Institute of Aeronautics and Astronautics, 2015. http://dx.doi.org/10.2514/6.2015-1616.

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Wukie, Nathan A., Paul D. Orkwis, and Christopher R. Schrock. "A Chimera-based, zonal discontinuous Galerkin method." In 23rd AIAA Computational Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-3947.

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Hirsch, Charles, Andrey Wolkov, and Benoit Leonard. "Discontinuous Galerkin Method on Unstructured Hexahedral Grids." In 47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition. American Institute of Aeronautics and Astronautics, 2009. http://dx.doi.org/10.2514/6.2009-177.

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Peyret, Christophe, and Ph Delorme. "hp Discontinuous Galerkin Method for Computational Aeroacoustics." In 13th AIAA/CEAS Aeroacoustics Conference (28th AIAA Aeroacoustics Conference). American Institute of Aeronautics and Astronautics, 2007. http://dx.doi.org/10.2514/6.2007-3475.

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Clément, J. B., F. Golay, M. Ersoy, and D. Sous. "Adaptive Discontinuous Galerkin Method for Richards Equation." In Topical Problems of Fluid Mechanics 2020. Institute of Thermomechanics, AS CR, v.v.i., 2020. http://dx.doi.org/10.14311/tpfm.2020.004.

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Reports on the topic "Weighted Discontinuous Galerkin method"

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Qiu, Jing-Mei, and Chi-Wang Shu. Convergence of High Order Finite Volume Weighted Essentially Non-Oscillatory Scheme and Discontinuous Galerkin Method for Nonconvex Conservation Laws. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada468107.

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Lin, Guang, and George E. Karniadakis. A Discontinuous Galerkin Method for Two-Temperature Plasmas. Defense Technical Information Center, 2005. http://dx.doi.org/10.21236/ada458981.

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Shu, Chi-Wang. Final Technical Report: High Order Discontinuous Galerkin Method and Applications. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1499046.

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Greene, Patrick T., Samuel P. Schofield, and Robert Nourgaliev. Dynamic Mesh Adaptation for Front Evolution Using Discontinuous Galerkin Based Weighted Condition Number Mesh Relaxation. Office of Scientific and Technical Information (OSTI), 2016. http://dx.doi.org/10.2172/1260506.

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Romkes, A., S. Prudhomme, and J. T. Oden. A Posteriori Error Estimation for a New Stabilized Discontinuous Galerkin Method. Defense Technical Information Center, 2002. http://dx.doi.org/10.21236/ada438102.

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Nourgaliev, R., H. Luo, S. Schofield, et al. Fully-Implicit Orthogonal Reconstructed Discontinuous Petrov-Galerkin Method for Multiphysics Problems. Office of Scientific and Technical Information (OSTI), 2015. http://dx.doi.org/10.2172/1178386.

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Laeuter, Matthias, Francis X. Giraldo, Doerthe Handorf, and Klaus Dethloff. A Discontinuous Galerkin Method for the Shallow Water Equations in Spherical Triangular Coordinates. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada486030.

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Bui-Thanh, Tan, and Omar Ghattas. Analysis of an Hp-Non-conforming Discontinuous Galerkin Spectral Element Method for Wave. Defense Technical Information Center, 2011. http://dx.doi.org/10.21236/ada555327.

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Wang, Wei, Xiantao Li, and Chi-Wang Shu. The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids. Defense Technical Information Center, 2007. http://dx.doi.org/10.21236/ada472151.

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Lieberman, Evan, Xiaodong Liu, Nathaniel Ray Morgan, Darby Jon Luscher, and Donald E. Burton. A higher-order Lagrangian discontinuous Galerkin hydrodynamic method for solid dynamics and reactive materials. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1492638.

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