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A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation

Fode, Adamou M

Abstract Details

2014, Doctor of Philosophy (Ph.D.), Bowling Green State University, Mathematics/Mathematics (Pure).
In [28] and [13], an error estimate of optimal convergence rates and optimal error propagation (optimal2) was given for the Runge-Kutta discontinuous Galerkin (RKDG) method solving the scalar nonlinear conservation laws in the case of smooth solutions. This dissertation generalizes the problem to the case of a piecewise smooth solution containing one fully developed shock. A front tracking technique is incorporated in the RKDG scheme to produce a numerical solution with a truly high order error. The numerical smoothness approach of [28] is generalized to this particular case of a discontinuous solution.
Tong Sun, PhD (Advisor)
Arthur Brecher, PhD (Other)
So-Hsiang Chou, PhD (Committee Member)
Gordon Wade, PhD (Committee Member)
107 p.

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Citations

  • Fode, A. M. (2014). A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation [Doctoral dissertation, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459

    APA Style (7th edition)

  • Fode, Adamou . A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation. 2014. Bowling Green State University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459.

    MLA Style (8th edition)

  • Fode, Adamou . "A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation." Doctoral dissertation, Bowling Green State University, 2014. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459

    Chicago Manual of Style (17th edition)