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

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

Bibliographic Details
Main Author: Fode, Adamou M.
Language:English
Published: Bowling Green State University / OhioLINK 2014
Subjects:
Mathematics
Adamou Made Fode
A Discontinous Galerkin
Front Tracking Scheme and its Optimal
Optimal Error Estimation
wave equation
conservalion law
burgers equation
godunov
lax-friedrich
flux
shock
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459
id ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu1399902459
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-bgsu13999024592021-08-03T06:24:49Z A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation Fode, Adamou M. Mathematics Adamou Made Fode A Discontinous Galerkin Front Tracking Scheme and its Optimal Optimal Error Estimation wave equation conservalion law burgers equation godunov lax-friedrich flux shock 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 solutionwith a truly high order error. The numerical smoothness approach of [28] is generalized to this particular case of a discontinuous solution. 2014-06-11 English text Bowling Green State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459 http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459 unrestricted This thesis or dissertation is protected by copyright: all rights reserved. It may not be copied or redistributed beyond the terms of applicable copyright laws.
collection NDLTD
language English
sources NDLTD
topic Mathematics
Adamou Made Fode
A Discontinous Galerkin
Front Tracking Scheme and its Optimal
Optimal Error Estimation
wave equation
conservalion law
burgers equation
godunov
lax-friedrich
flux
shock
spellingShingle Mathematics
Adamou Made Fode
A Discontinous Galerkin
Front Tracking Scheme and its Optimal
Optimal Error Estimation
wave equation
conservalion law
burgers equation
godunov
lax-friedrich
flux
shock
Fode, Adamou M.
A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
author Fode, Adamou M.
author_facet Fode, Adamou M.
author_sort Fode, Adamou M.
title A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
title_short A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
title_full A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
title_fullStr A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
title_full_unstemmed A Discontinuous Galerkin - Front Tracking Scheme and its Optimal -Optimal Error Estimation
title_sort discontinuous galerkin - front tracking scheme and its optimal -optimal error estimation
publisher Bowling Green State University / OhioLINK
publishDate 2014
url http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1399902459
work_keys_str_mv AT fodeadamoum adiscontinuousgalerkinfronttrackingschemeanditsoptimaloptimalerrorestimation
AT fodeadamoum discontinuousgalerkinfronttrackingschemeanditsoptimaloptimalerrorestimation
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