On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F11%3A00180239" target="_blank" >RIV/68407700:21110/11:00180239 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-52BPK1R-1&_user=640811&_coverDate=05%2F31%2F2011&_rdoc=1&_fmt=hig" target="_blank" >http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6V0T-52BPK1R-1&_user=640811&_coverDate=05%2F31%2F2011&_rdoc=1&_fmt=hig</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2011.02.005" target="_blank" >10.1016/j.matcom.2011.02.005</a>
Alternative languages
Result language
angličtina
Original language name
On an approach to deal with Neumann boundary value problems defined on uncertain domains: Numerical experiments
Original language description
Neumann boundary value problems for second order elliptic equations are considered on a 2D domain whose boundary is not known and might be even non-Lipschitz. Although the domain of definition is unknown, it is assumed that (a) it contains a known domain(subdomain), (b) it is contained in a known domain (superdomain), and (c) both the subdomain and superdomain have Lipschitz boundary. To cope with the Neumann boundary condition on the unknown boundary and to properly formulate the boundary value problem (BVP), the condition has to be reformulated. A reformulated BVP is used to estimate the difference between the BVP solution on the unknown domain and the BVP solution on the known subdomain or superdomain. To evaluate the estimate, the finite element method is applied. Numerical experiments are performed to check the estimate and its response to a shrinking region of uncertainty.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics and Computers in Simulation
ISSN
0378-4754
e-ISSN
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Volume of the periodical
81
Issue of the periodical within the volume
9
Country of publishing house
NL - THE KINGDOM OF THE NETHERLANDS
Number of pages
7
Pages from-to
1869-1875
UT code for WoS article
000290980200011
EID of the result in the Scopus database
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