# 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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