Optimal error estimates in the DG method for nonlinear convection-diffusion problems
Result description
The subject of the paper is the derivation of optimal error estimates for the discontiuous Galerkin space semi-discretization of a convection-diffusion problem with nonlinear convection and diffusion. The analysis is based on a nonlinear variant of the Aubin-Nitsche technique, which uses a linearized dual problem. Handling the nonlinearity requires several important assumptions, such as a high regularity of the exact solution, convexity of the domain and the use of only Dirichlet boundary conditions.
Keywords
Optimalerrorestimatesmethodnonlinearconvection-diffusionproblems
The result's identifiers
Result code in IS VaVaI
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Optimal error estimates in the DG method for nonlinear convection-diffusion problems
Original language description
The subject of the paper is the derivation of optimal error estimates for the discontiuous Galerkin space semi-discretization of a convection-diffusion problem with nonlinear convection and diffusion. The analysis is based on a nonlinear variant of the Aubin-Nitsche technique, which uses a linearized dual problem. Handling the nonlinearity requires several important assumptions, such as a high regularity of the exact solution, convexity of the domain and the use of only Dirichlet boundary conditions.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
GA201/08/0012: Qualitative analysis and numerical solution of flow problems
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Algoritmy 2009, 18th Conference on Scientific Computing
ISBN
978-80-227-3032-7
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
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Publisher name
Slovak University of Technology in Bratislava
Place of publication
Bratislava
Event location
Bratislava
Event date
Jan 1, 2009
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000267157200025
Basic information
Result type
D - Article in proceedings
CEP
BA - General mathematics
Year of implementation
2009