Finite element analysis for unilateral problems with obstacles on the boundary
Applications of Mathematics, Tome 22 (1977) no. 3, pp. 180-188.
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Finite element analysis of unilateral problems with obstacles on the boundary is given. Provided the exact solution is smooth enough, we obtain the rate of convergence $0(h)$ for the case of one and two (lower and upper) obstacles on the boundary. At the end of this paper the proof of convergence without any regularity assumptions on the exact solution $u$ is given.
DOI :
10.21136/AM.1977.103691
Classification :
49J40, 65N30
Mots-clés : finite element approximation; error estimates
Mots-clés : finite element approximation; error estimates
@article{10_21136_AM_1977_103691, author = {Haslinger, Jaroslav}, title = {Finite element analysis for unilateral problems with obstacles on the boundary}, journal = {Applications of Mathematics}, pages = {180--188}, publisher = {mathdoc}, volume = {22}, number = {3}, year = {1977}, doi = {10.21136/AM.1977.103691}, mrnumber = {0440956}, zbl = {0434.65083}, language = {en}, url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103691/} }
TY - JOUR AU - Haslinger, Jaroslav TI - Finite element analysis for unilateral problems with obstacles on the boundary JO - Applications of Mathematics PY - 1977 SP - 180 EP - 188 VL - 22 IS - 3 PB - mathdoc UR - https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103691/ DO - 10.21136/AM.1977.103691 LA - en ID - 10_21136_AM_1977_103691 ER -
%0 Journal Article %A Haslinger, Jaroslav %T Finite element analysis for unilateral problems with obstacles on the boundary %J Applications of Mathematics %D 1977 %P 180-188 %V 22 %N 3 %I mathdoc %U https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103691/ %R 10.21136/AM.1977.103691 %G en %F 10_21136_AM_1977_103691
Haslinger, Jaroslav. Finite element analysis for unilateral problems with obstacles on the boundary. Applications of Mathematics, Tome 22 (1977) no. 3, pp. 180-188. doi : 10.21136/AM.1977.103691. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1977.103691/
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