Geodesic
Variational problems in domains with cusp points
Applications of Mathematics, Tome 38 (1993) no. 4-5, pp. 381-403

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MR Zbl
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.
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.
DOI : 10.21136/AM.1993.104561
Classification : 35J20, 35J25, 65N30
Keywords: finite element method; nonlipschitz boundary; cusp points (turning points); maximum angle condition; minimum angle condition; linear elliptic problems 
Ženíšek, Alexander. Variational problems in domains with cusp points. Applications of Mathematics, Tome 38 (1993) no. 4-5, pp. 381-403. doi: 10.21136/AM.1993.104561
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