Variational problems in domains with cusp points
Applications of Mathematics (1993)
- Volume: 38, Issue: 4-5, page 381-403
- ISSN: 0862-7940
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topŽeníšek, Alexander. "Variational problems in domains with cusp points." Applications of Mathematics 38.4-5 (1993): 381-403. <http://eudml.org/doc/15760>.
@article{Ženíšek1993,
abstract = {The finite element analysis of linear elliptic problems in two-dimensional domains with cusp points (turning points) is presented. This analysis needs on one side a generalization of results concerning the existence and uniqueness of the solution of a constinuous elliptic variational problem in a domain the boundary of which is Lipschitz continuous and on the other side a presentation of a new finite element interpolation theorem and other new devices.},
author = {Ženíšek, Alexander},
journal = {Applications of Mathematics},
keywords = {finite element method; nonlipschitz boundary; cusp points (turning points); maximum angle condition; minimum angle condition; linear elliptic problems; finite element; linear elliptic problems; domains with cusp points},
language = {eng},
number = {4-5},
pages = {381-403},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Variational problems in domains with cusp points},
url = {http://eudml.org/doc/15760},
volume = {38},
year = {1993},
}
TY - JOUR
AU - Ženíšek, Alexander
TI - Variational problems in domains with cusp points
JO - Applications of Mathematics
PY - 1993
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 4-5
SP - 381
EP - 403
AB - The finite element analysis of linear elliptic problems in two-dimensional domains with cusp points (turning points) is presented. This analysis needs on one side a generalization of results concerning the existence and uniqueness of the solution of a constinuous elliptic variational problem in a domain the boundary of which is Lipschitz continuous and on the other side a presentation of a new finite element interpolation theorem and other new devices.
LA - eng
KW - finite element method; nonlipschitz boundary; cusp points (turning points); maximum angle condition; minimum angle condition; linear elliptic problems; finite element; linear elliptic problems; domains with cusp points
UR - http://eudml.org/doc/15760
ER -
References
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- L. A. Oganesian, and L. A. Rukhovec, Variational Difference Methods for the Solution of Elliptic Problems, Izd. Akad. Nauk ArSSR, Jerevan, 1979. (In Russian.) (1979)
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- A. Ženíšek, Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations, Academic Press, London, 1990. (1990) MR1086876
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