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finite element method; nonlipschitz boundary; cusp points (turning points); maximum angle condition; minimum angle condition; linear elliptic problems

References:

[1] P. Doktor: **On the density of smooth functions in certain subspaces of Sobolev Space**. CMUC 14 (1973), 609-622. MR 0336317 | Zbl 0268.46036

[2] M. Feistauer, and A. Ženíšek: **Finite element solution of nonlinear elliptic problems**. Numer. Math. 50 (1987), 451-475. DOI 10.1007/BF01396664 | MR 0875168

[3] A. Kufner: **Boundary value problems in weighted spaces**. Equadiff 6, Proceedings of the International Conference on Differential Equations and their Applications held in Brno, Czechoslovakia, August 1985 (J. Vosmanský and M. Zlámal, eds.), Springer- Verlag, Berlin, 1986, pp. 35-48. MR 0877105

[4] A. Kufner O. John, and S. Fučík: **Function Spaces**. Academia, Prague, 1977. MR 0482102

[5] J. Nečas: **Les Méthodes Directes en Théorie des Equations Elliptiques**. Academia, Prague, 1967. MR 0227584

[6] L. A. Oganesian, and L. A. Rukhovec: **Variational Difference Methods for the Solution of Elliptic Problems**. Izd. Akad. Nauk ArSSR, Jerevan, 1979. (In Russian.)

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[8] A. Ženíšek: **Nonlinear Elliptic and Evolution Problems and Their Finite Element Approximations**. Academic Press, London, 1990. MR 1086876