Geodesic
The finite element solution of second order elliptic problems with the Newton boundary condition
Applications of Mathematics, Tome 28 (1983) no. 6, pp. 430-456.

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The convergence of the finite element solution for the second order elliptic problem in the $n$-dimensional bounded domain $(n\geq 2)$ with the Newton boundary condition is analysed. The simplicial isoparametric elements are used. The error estimates in both the $H^1$ and $L_2$ norms are obtained.
DOI : 10.21136/AM.1983.104055
Classification : 35J25, 65N15, 65N30
Keywords: convergence; finite element; Newton boundary condition; simplicial isoparametric elements; error estimates 
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     author = {\v{C}erm\'ak, Libor},
     title = {The finite element solution of second order elliptic problems with the {Newton} boundary condition},
     journal = {Applications of Mathematics},
     pages = {430--456},
     publisher = {mathdoc},
     volume = {28},
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     year = {1983},
     doi = {10.21136/AM.1983.104055},
     mrnumber = {0723203},
     zbl = {0542.65063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104055/}
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Čermák, Libor. The finite element solution of second order elliptic problems with the Newton boundary condition. Applications of Mathematics, Tome 28 (1983) no. 6, pp. 430-456. doi : 10.21136/AM.1983.104055. http://geodesic.mathdoc.fr/articles/10.21136/AM.1983.104055/

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