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3 edition of The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems found in the catalog.

The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems

B. Cockburn

The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems

  • 322 Want to read
  • 39 Currently reading

Published by Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, National Technical Information Service, distributor in Hampton, VA, [Springfield, Va .
Written in English

    Subjects:
  • Runge-Kutta method.,
  • Galerkin method.,
  • Convergence.,
  • Nonlinear systems.

  • Edition Notes

    StatementBernardo Cockburn, Chi-Wang Shu.
    SeriesICASE report -- no. 97-32, NASA contractor report -- 201711, NASA contractor report -- NASA CR-201711..
    ContributionsShu, Chi-Wang., Institute for Computer Applications in Science and Engineering.
    The Physical Object
    FormatMicroform
    Pagination1 v.
    ID Numbers
    Open LibraryOL17125847M

    We develop a Petrov–Galerkin stabilization method for multiscale convection–diffusion transport systems. We construct a local reduced-order model for this kind of multiscale transport problems and then develop a systematic approach for finding reduced-order approximations of the solution. We start from a Petrov–Galerkin framework that. VII Finite volume and discontinous Galerkin schemes for stiff source term problems Some comments on the numerical approximation of hyperbolic nonconservative systems M.L. Muñoz-Ruiz & C. Parés An explicit discontinuous Galerkin scheme based on a Runge-Kutta predictor with application to magnetohydrodynamics C. Altmann, G. Gassner & C. K. Sirenko, M. Liu, and H. Bagci. Incorporation of exact boundary conditions into a discontinuous Galerkin finite element method for accurately solving 2D time-dependent Maxwell equations. IEEE Transactions on Antennas and Propagation, Vol 61, Issue 1, Page , Florian Frank Applied Mathematician Computational fluid dynamics · flow and reactive transport in porous media · pore-scale direct simulation · partially miscible multiphase mixtures · multiscale modeling and simulation · phase-field models · discontinuous Galerkin methods · mixed finite elements · iterative solvers of large sparse linear systems · nonlinear problems · efficient.


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The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems by B. Cockburn Download PDF EPUB FB2

In this paper, we study the local discontinuous Galerkin (LDG) methods for nonlinear, time-dependent convection-diffusion systems. These methods are an extension of the Runge--Kutta discontinuous Galerkin (RKDG) methods for purely hyperbolic systems to convection-diffusion systems and share with those methods their high parallelizability, high-order formal accuracy, and easy handling of Cited by: Get this from a library.

The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems. [B Cockburn; Chi-Wang Shu; Institute for Computer Applications in Science and Engineering.]. A local discontinuous Galerkin method for time-fractional diffusion equation with discontinuous coefficient Author links open overlay panel Chaobao Huang a Na An b Xijun Yu c Show moreAuthor: Chaobao Huang, Na An, Xijun Yu.

We proposed a new discontinuous Galerkin method to solve stationary nonlinear convection-diffusion problems based on the introduction of the gradient s and the total flux σ as additional unknowns. This method can be viewed as an extension of the method proposed in [9] for nonlinear diffusion howtogetridofbadbreath.club: Iñigo Arregui, J.

Jesús Cendán, María González. A New Nonsymmetric Discontinuous Galerkin Method for Time Dependent Convection Diffusion Equations Article in Journal of Scientific Computing 54() · February with 8 Reads.

Cockburn and C. Dawson, Some extensions of the local discontinuous Galerkin method for convection-diffusion equations in multidimensions, Tech.

Rep.Texas Institute for Computational and Applied Mathematics, The University of Texas at Austin, August Google ScholarCited by: 3. The Local Discontinuous Galerkin method for time-dependent convection-diffusion howtogetridofbadbreath.club The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems Towards Optimal Algorithms for Prediction with Expert Advice Recently SearchedCited by: B.

Cockburn and C.-W. Shu. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal., –, Cited by: 1. This paper presents a high order local discontinuous Galerkin time-domain method for solving time dependent Schrodinger equations.

After rewriting the Schrodinger equation in terms of a flrst. The level set method is often used to capture interface behavior in two or three dimensions. In this paper, we present a combination of local discontinuous Galerkin (LDG) method and level set method for simulating Willmore flow.

The LDG scheme is energy stable and mass conservative, which are good properties comparing with other numerical methods.

In addition, to enhance the efficiency of the. Department of Mathematics, The University of Southern Mississippi, Hattiesburg, MSUnited States. Department of Engineering, Mathematics, and Physics Author: Huiqing Zhu, Runchang Lin.

We present a special variant of the local discontinuous Galerkin (LDG) method for time-dependent partial differential equations with certain variational structures and associated conservation or dissipation properties. The method provides a way to construct fully-discrete LDG schemes that retain discrete counterparts of the conservation or dissipation howtogetridofbadbreath.club by: 3.

The Weak Galerkin Methods and Applications Lin Mu, Junping Wang and Xiu Ye B. Cockburn and C.-W. Shu, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J.

Numer. Anal., 35 (), pp. – B. Fraejis de Veubeke, Displacement and equilibrium models in the. Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments. Recent Developments in Discontinuous Galerkin Finite Element Methods for Partial Differential Equations, Cited by: 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 howtogetridofbadbreath.club by: Collection of numerical schemes for solving systems of Conservations Laws (finite volume methods/Discontinuous Galerkin + method of lines).

Implementation is influenced by DifferentialEquations API. Each scheme return a semidiscretization (discretization in space) that represents a ODE system.

This article presents a complete discretization of a nonlinear Sobolev equation using space-time discontinuous Galerkin method that is discontinuous in time and continuous in space.

The scheme is formulated by introducing the equivalent integral equation of the primal equation. Cockburn and C.-W. Shu, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM Journal on Numerical Analysis, v35 (), pp P.

Montarnal and C.-W. Shu, Real gas computation using an energy relaxation method and high-order WENO schemes, Journal of Computational Physics, v (), pp The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations.

The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. Aizinger, C. Dawson, The local discontinuous Galerkin method for three-dimensional shallow water flow, Computer methods in applied mechanics and engineering, B.

Cockburn and C.-W. Shu, The local discontinuous Galerkin method for time-dependent convection-diffusion systems, SIAM J. Numer. Anal. 35,Flux correction in the finite element context is addressed. Criteria for positivity of the numerical solution are formulated, and the low-order transport operator is constructed from the discrete high-order operator by adding modulated dissipation so as to eliminate negative off-diagonal entries.

Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations: Theory and Implementation is divided into three parts: Part I focuses on the application of DG methods to second order elliptic problems in one dimension and in higher dimensions. Part II presents the time-dependent parabolic problems without and with howtogetridofbadbreath.club by: Jun 01,  · 9.

Castillo P. A review of the local discontinuous Galerkin (LDG) method applied to elliptic problems. Appl Numer Math ;– Google Scholar. Cockburn B, Shu CW. The local discontinuous Galerkin method for time-dependent convection-diffusion systems.

SIAM J Numer Anal ;– Google Scholar. Cited by: 1. @article{osti_, title = {Adaptive Discontinuous Galerkin Methods in Multiwavelets Bases}, author = {Archibald, Richard K and Fann, George I and Shelton Jr, William Allison}, abstractNote = {We use a multiwavelet basis with the Discontinuous Galerkin (DG) method to produce a multi-scale DG method.

We apply this Multiwavelet DG method to convection and convection-diffusion problems in. Jan 01,  · Read "A discontinuous Galerkin front tracking method for two-phase flows with surface tension, Computers & Fluids" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.

A free energy satisfying discontinuous Galerkin method for Poisson-Nernst-Planck systems, J. Comput. Phys.[] W.-X. Cao, H. Liu and Z.-M. Zhang Superconvergence of the direct discontinuous Galerkin method for convection-diffusion equations Numerical Methods for Partial Differential Equations, 33(1):Jul 21,  · In this talk we give a short summary of our recent work [9, 10, 11, 7], jointly with H.

Wang, Q. Zhang, S. Wang and Y. Liu, on the development, analysis and application of implicit-explicit (IMEX) Runge-Kutta or multi-step time marching methods for discontinuous Galerkin (DG) methods approximating convection diffusion howtogetridofbadbreath.club: Chi-Wang Shu.

We compare numerically the performance of a new continuous-discontinuous finite element method (CDFEM) for linear convection-diffusion equations with three well-known upwind finite element formulations, namely with the streamline upwind Continuous and discontinuous finite element methods for convection-diffusion problems: A comparison.

The schemes are based on combinations of the finite element method and the discontinuous Galerkin method. Accuracy and robustness of the methods are investigated for heterogeneous porous media.

The importance of local mass conservation for filtration problems is also discussed. Proft and B. Riviere. Author's personal copy A local discontinuous Galerkin method for a doubly nonlinear diffusion equation arising in shallow water modeling Mauricio Santillana*, Clint Dawson Institute for Computational Engineering and Sciences, University of Texas at Austin, United States.

Search term. Advanced Search Citation Search. Login / Register. Jan 01,  · A-stable discontinuous Galerkin–Petrov time discretization of higher order F.

Schieweck *Institut für Analysis und Numerik, Otto-von-Guericke-Universität Magdeburg, PostfachMagdeburg, howtogetridofbadbreath.club by: International Scholarly Research Notices is a peer-reviewed, Open Access journal covering a wide range of subjects in science, technology, and medicine.

The journal’s Editorial Board as well as its Table of Contents are divided into subject areas that are covered within the journal’s howtogetridofbadbreath.club by: A Leap-Frog Discontinuous Galerkin Method for the Time-Domain Maxwell's Equations in In this paper, we propose a leap-frog discontinuous Galerkin method to solve the time-dependent Maxwell’s equations in metamaterials.

We summarize the three main areas of our AMa work since First, we continued our study of Vlasov-Maxwell systems. Gaussian quadrature is required for the computation of matrices based on the isoparametric formulztion of the finite element method. A brief review of existing quadrature rules for the triangle is given, and the method for the determination of high degree efficient symmetrical rules for the triangle is discussed.

Section: Scientific Foundations Numerical tools: High-order discretization methods Motivation for discontinuous finite elements. The discontinuous Galerkin finite element method (DGFEM) offers interesting perspectives, since it offers a framework for the combination of techniques developed in the incompressible finite-element (well-founded treatment of incompressibility constraints, pressure.

Mar 01,  · This book consists of important contributions by world-renowned experts on adaptive high-order methods in computational fluid dynamics (CFD). A Runge-Kutta based Discontinuous Galerkin Method with Time Accurate Local Time Stepping P N P M Schemes on Unstructured Meshes for Time–Dependent Partial Differential Equations.

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All books are in clear copy here, and all files are secure so don't worry about it. Request PDF on ResearchGate | A staggered discontinuous Galerkin method for wave propagation in media with dielectrics and meta-materials | Some electromagnetic materials exhibit, in a given frequency range, effective dielectric permittivity and/or magnetic permeability which are Cited by:.

You can write a book review and share your experiences. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them.The main benefit for readers and the book's uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin.Dietmar Kröner, Michael Ružicka, Ioannis Toulopoulos (online: Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier–Stokes equations.

Journal Computational Physics, Bd.S.