[1]

R.A. Adams, Sobolev Spaces, Academic Press, New York 1975.

MATHGoogle Scholar[2]

J.F. Ahner and G.C. Hsiao, On the two-dimensional exterior boundary-value problems of elasticity, SIAM J. Appl. Math.

31 (1976) pp. 677–685.

MathSciNetCrossRefMATHGoogle Scholar[3]

M. Costabel, Boundary integral operators on curved polygons, Ann. Mat. Pura Appl.

33 (1983) pp. 305–326.

MathSciNetCrossRefMATHGoogle Scholar[4]

M. Costabel and E. Stephan, Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation, Banach Center Publications, Warsaw, to appear (Preprint 593, FB Mathematik, TH Darmstadt 1981).

[5]

M. Costabel and E. Stephan, Curvature terms in the asymptotic expansion for solutions of boundary integral equations on curved polygons, J. Integral Equations

5 (1983) pp. 353–371.

MathSciNetMATHGoogle Scholar[6]

M. Costabel and E. Stephan, A direct boundary integral equation method for transmission problems, to appear in J. Math. Anal. Appl. (Preprint 753, FB Mathematik, TH Darmstadt 1982).

[7]

M. Costabel and E. Stephan, The method of Mellin transformation for boundary integral equations on curves with corners, in: Numerical Solution of Singular Integral Equations (ed. A. Gerasoulis, R. Vichnevetsky) IMACS, Rutgers Univ. (1984) pp. 95–102.

[8]

M. Costabel, E. Stephan and W.L. Wendland, On the boundary integral equations of the first kind for the bi-Laplacian in a polygonal plane domain, Ann. Scuola Norm. Sup. Pisa, Ser. IV

10 (1983) pp 197–242.

MathSciNetMATHGoogle Scholar[9]

G.I. Eskin, Boundary Problems for Elliptic Pseudo-Differential Operators, Transl. of Math. Mon., American Math. Soc. 52, Providence, Rhode Island (1981).

[10]

G. Fichera, Existence theorems in elasticity. Unilateral constraints in elasticity. — Handbuch der Physik (S. Flügge ed.) Berlin — Heidelberg — New York, 1972, VI a/2, pp. 347–424.

[11]

G. Fichera, Linear elliptic equations of higher order in two independent variables and singular integral equations, in: Proc. Conf. Partial Differential Equations and Conf. Mechanics. University Wisconsin Press (1961) pp. 55–80.

[12]

L. Hörmander, Linear Partial Differential Operators, Springer-Verlag, Berlin (1969).

CrossRefMATHGoogle Scholar[13]

G.C. Hsiao and R.C. MacCamy, Solution of boundary value problems by integral equations of the first kind, SIAM Rev.

15 (1973) pp. 687–705.

MathSciNetCrossRefMATHGoogle Scholar[14]

G.C. Hsiao, P. Kopp and W.L. Wendland, Some applications of a Galerkin-collocation method for boundary integral equations of the first kind, Math. Meth. Appl. Sci., 6 (1984), to appear.

[15]

G.C. Hsiao, E. Stephan and W.L. Wendland, A boundary element approach to fracture mechanics, in preparation.

[16]

G.C. Hsiao and W.L. Wendland, A finite element method for some integral equations of the first kind, J. Math. Anal. Appl.

58 (1977) pp. 449–481.

MathSciNetCrossRefMATHGoogle Scholar[17]

G.C. Hsiao, W.L. Wendland, On a boundary integral method for some exterior problems in elasticity, to appear in Akad. Dokl. Nauk SSSR (Preprint 769, FB Mathematik, TH Darmstadt 1983).

[18]

G.C. Hsiao, W.L. Wendland, The Aubin-Nitsche lemma for integral equations, J. Integral Equations

3 (1981) pp. 299–315.

MathSciNetMATHGoogle Scholar[19]

V.D. Kupradze, Potential methods in the Theory of Elasticity. Jerusalem, Israel Program Scientific Transl., 1965.

[20]

U. Lamp, K,-T. Schleicher, E. Stephan and W.L. Wendland, Galerkin collocation for an improved boundary element method for a plane mixed boundary value problem, to appear in Computing.

[21]

I.L. Lions, E. Magenes, Non-homogeneous boundary value problems and applications I, Berlin-Heidelberg-New York, Springer (1972).

CrossRefMATHGoogle Scholar[22]

R. Seeley, Topics in pseudo-differential operators, in: Pseudo-Differential Operators (ed. L. Nirenberg) C.I.M.E., Cremonese, Roma (1969) pp. 169–305.

Google Scholar[23]

E. Stephan, Boundary integral equations for mixed boundary value problems, screen and transmission problems in IR^{3}, Habilitationsschrift (Darmstadt) (1984).

[24]

E. Stephan, W.L. Wendland, Remarks to Galerkin and least squares methods with finite elements for general elliptic problems, Lecture Notes Math.

564 Springer, Berlin (1976) pp. 461–471, Manuscripta Geodaesica

1 (1976) pp. 93–123.

MATHGoogle Scholar[25]

E. Stephan and W.L. Wendland, Boundary element method for membrane and torsion crack problems, Computer Meth. in Appl. Eng.,

36 (1983) pp. 331–358.

MathSciNetCrossRefMATHGoogle Scholar[26]

E. Stephan and W.L. Wendland, An augmented Galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems, Applicable Analysis, to appear (Preprint 802, FB Mathematik, TH Darmstadt 1984).

[27]

W.L. Wendland, I. Asymptotic convergence of boundary element methods; II. Integral equation methods for mixed boundary value problems, in: Lectures on the Numerical Solution of Partial Differential Equations (ed. I. Babuška, I.-P. Liu, J. Osborn) Lecture Notes, University of Maryland, Dept. Mathematics, College Park, Md. USA #20 (1981) pp. 435–528.

Google Scholar[28]

W.L. Wendland, On applications and the convergence of boundary integral methods, in: Treatment of Integral Equations by Numerical Methods (ed. C.T. Baker and G.F. Miller) Academic Press, London (1982) pp. 465–476.

Google Scholar[29]

W.L. Wendland, E. Stephan and G.C. Hsiao, On the integral equation method for the plane mixed boundary value problem of the Laplacian, Math. Meth. in Appl. Sci.

1 (1979) pp. 265–321.

MathSciNetCrossRefMATHGoogle Scholar