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An Optimal-order Error Estimate For The Discontinuous Galerkin Method

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However, numerical experiments show that under a suitable choice of the numerical flux, higher order of convergence can be achieved. All rights reserved. View full text Applied Numerical MathematicsVolume 106, August 2016, Pages 129–153 Analysis of a posteriori error estimates of the discontinuous Galerkin method for nonlinear ordinary differential equationsI would like Login to your MyJSTOR account × Close Overlay Read Online (Beta) Read Online (Free) relies on page scans, which are not currently available to screen readers.

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Discontinuous Galerkin Method Example

Differing provisions from the publisher's actual policy or licence agreement may be applicable.This publication is from a journal that may support self archiving.Learn moreLast Updated: 29 Jul 16 © 2008-2016 researchgate.net. We'll provide a PDF copy for your screen reader. To provide access without cookies would require the site to create a new session for every page you visit, which slows the system down to an unacceptable level. We further prove that the DG solution is O(h2p+1)O(h2p+1) superconvergent at the downwind points.

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In [34] , Xie and Zhang studied the LDG method for solving singularly perturbed convectiondiffusion problems with mixed boundary condition. "[Show abstract] [Hide abstract] ABSTRACT: In this paper, we consider the Try a different browser if you suspect this. Please try the request again. http://www.ams.org/mcom/2008-77-264/S0025-5718-08-02126-1/S0025-5718-08-02126-1.pdf Close ScienceDirectSign inSign in using your ScienceDirect credentialsUsernamePasswordRemember meForgotten username or password?Sign in via your institutionOpenAthens loginOther institution loginHelpJournalsBooksRegisterJournalsBooksRegisterSign inHelpcloseSign in using your ScienceDirect credentialsUsernamePasswordRemember meForgotten username or password?Sign in via

In: Mathematical aspects of finite elements in partial differential equations. Introduction To Discontinuous Galerkin Method Finally, numerical experiments for one-dimensional and two-dimensional convection–diffusion equations are given to confirm the theoretical results. Why Does this Site Require Cookies? Ability to save and export citations.

Discontinuous Galerkin Method Code

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Although carefully collected, accuracy cannot be guaranteed. View full text Computer Methods in Applied Mechanics and EngineeringVolume 198, Issues 27–29, 15 May 2009, Pages 2190–2197 An optimal-order L2L2-error estimate for nonsymmetric discontinuous Galerkin methods for a We'll provide a PDF copy for your screen reader. For example, the site cannot determine your email name unless you choose to type it. Discontinuous Galerkin Method Matlab

For a model problem in $R^2$, the method is shown to converge at a rate $O(h^{n + 1})$ when applied with $n$th degree polynomial approximations over a semiuniform triangulation, assuming sufficient Support Screen reader users, click here to load entire articleThis page uses JavaScript to progressively load the article content as a user scrolls. Download PDFs Help Help Screen reader users, click here to load entire articleThis page uses JavaScript to progressively load the article content as a user scrolls. If your computer's clock shows a date before 1 Jan 1970, the browser will automatically forget the cookie.

Related book content No articles found. Later on, Cockburn et al. On the other hand, Castillo [3] and then Castillo et al. [5] proved a superconvergence of order k + 1 in the energy norm for one-dimensional transient convection−diffusion problems.

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Think you should have access to this item via your institution? Page Thumbnails 75 76 77 78 79 80 81 82 83 84 85 86 87 88 Mathematics of Computation © 1988 American Mathematical Society Request Permissions JSTOR Home About Search Browse You must disable the application while logging in or check with your system administrator. If your browser does not accept cookies, you cannot view this site.

The system returned: (22) Invalid argument The remote host or network may be down. Read as much as you want on JSTOR and download up to 120 PDFs a year. Numerical results are provided to validate our theoretical estimates. The L2L2-optimality for the elliptic problem follows directly from the parabolic estimates.

The a posteriori   DG error estimator under investigation is computationally simple, efficient, and asymptotically exact. In this paper, we consider Dirichlet boundary conditions and we show that the LDG method has an optimal order of convergence k + 1. Register or login Buy a PDF of this article Buy a downloadable copy of this article and own it forever. JavaScript is disabled on your browser.

It is devoted to advances in numeri cal analysis, the application of computational methods, high speed calculating, and other aids to computation. Note: In calculating the moving wall, the current year is not counted. This site uses cookies to improve performance by remembering that you are logged in when you go from page to page. Based on the Hopf–Cole transformation, we transform the original equation into a linear heat equation with the same kind boundary conditions.

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