On the method of functional equations and the performance of desingularized boundary element methods

[1]  Graeme Fairweather,et al.  The method of fundamental solutions for elliptic boundary value problems , 1998, Adv. Comput. Math..

[2]  C. Pozrikidis.  Numerical computation in science and engineering , 1998 .

[3]  Joel H. Ferziger,et al.  Introduction to Theoretical and Computational Fluid Dynamics , 1996 .

[4]  Sangtae Kim,et al.  TRACTION SINGULARITIES ON SHARP CORNERS AND EDGES IN STOKES FLOWS , 1996 .

[5]  C. Pozrikidis.  Boundary Integral and Singularity Methods for Linearized Viscous Flow: Index , 1992 .

[6]  Yusong Cao,et al.  Three‐dimensional desingularized boundary integral methods for potential problems , 1991 .

[7]  S. W. Hong,et al.  Solution of potential problems using an overdetermined complex boundary integral method , 1989 .

[8]  A. Bogomolny.  Fundamental Solutions Method for Elliptic Boundary Value Problems , 1985 .

[9]  I. Stakgold.  Green's Functions and Boundary Value Problems , 1979 .

[10]  Søren Christiansen,et al.  Integral Equations without a Unique Solution can be made Useful for Solving some Plane Harmonic Problems , 1975 .

[11]  Richard G. Kellner,et al.  The Eigenvalue Problem for a Pair of Coupled Integral Equations Arising in the Numerical Solution of Laplace’s Equation , 1972 .

[12]  V. D. Kupradze,et al.  ON THE APPROXIMATE SOLUTION OF PROBLEMS IN MATHEMATICAL PHYSICS , 1967 .

[13]  F. John.  Partial differential equations , 1967 .

[14]  M. A. Jaswon.  Integral equation methods in potential theory. I , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[15]  G. T. Symm,et al.  Integral equation methods in potential theory. II , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[16]  R. Courant,et al.  Methods of Mathematical Physics , 1962 .

[17]  E. Hille.  Analytic Function Theory , 1961 .

[18]  R. Kress.  Linear Integral Equations , 1989 .

[19]  S. Christiansen,et al.  Condition number of matrices derived from two classes of integral equations , 1981 .

[20]  U. Heise.  Systematic compilation of integral equations of the Rizzo type and of Kupradze's functional equations for boundary value problems of plane elastostatics , 1980 .

[21]  F. B. Hildebrand.  Advanced Calculus for Applications , 1962 .