A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F17%3A00470507" target="_blank" >RIV/67985556:_____/17:00470507 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12310/17:43895473
Result on the web
<a href="http://dx.doi.org/10.1016/j.camwa.2016.11.037" target="_blank" >http://dx.doi.org/10.1016/j.camwa.2016.11.037</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.camwa.2016.11.037" target="_blank" >10.1016/j.camwa.2016.11.037</a>

Result language
angličtina
Original language name
A FEM approximation of a two-phase obstacle problem and its a posteriori error estimate
Original language description
This paper is concerned with the two-phase obstacle problem, a type of a variational free boundary problem. We recall the basic estimates of Repin and Valdman (2015) and verify them numerically on two examples in two space dimensions. A solution algorithm is proposed for the construction of the finite element approximation to the two-phase obstacle problem. The algorithm is not based on the primal (convex and nondifferentiable) energy minimization problem but on a dual maximization problem formulated for Lagrange multipliers. The dual problem is equivalent to a quadratic programming problem with box constraints. The quality of approximations is measured by a functional a posteriori error estimate which provides a guaranteed upper bound of the difference of approximated and exact energies of the primal minimization problem. The majorant functional in thenupper bound contains auxiliary variables and it is optimized with respect to them to provide a sharp upper bound.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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