Boundary Elements

Member Area
  • Altiero NJ, Sikarskie DL. An integral equation method applied to penetration problems in rock mechanics. In: Cruse TA, Rizzo FJ, editors. Boundary-integral equation method: computational applications in applied mechanics, AMD-vol. 11, 1975. p. 119-41.
  • Atkinson KE. A survey of numerical methods for the solution of fredholm integral equations of the second kind. SIAM 1976.
  • Brady BHG, Bray JW. Boundary element method for determining stresses and displacements around long opening in a triaxial stressfield. Int J Rock Mech Min Sci 1978;15:21-8.
  • Brady BHG, Bray JW. Boundary element method for elastic analysis of tabular orebody extraction, assuming complete plane strain. Int  J Rock Mech Min Sci 1978;15:29-37.
  • Brebbia CA. On hyperbolic paraboloidal shells. PhD Thesis, University of Southampton; 1968.
  • Brebbia CA. The boundary element method for engineers. London/New York: Pentech Press/Halstead Press; 1978.
  • Brebbia CA, editor. Recent advances in boundary element methods. Proceedings of first internatonal conference on boundary element methods, University of Southampton.
  • Brebbia CA. Introduction to boundary element methods. In: Brebbia CA, editor. Recent advances in boundary element methods, Proceedings of first international confeerence on boundary element methods. Pentech: University of Southampton; 1978. p. 1-42.
  • Brebbia CA. Tribute to Tom Cruse, Tom Cruse Commemorative Issue. In: Brebbia CA, Cheng AH-D, editors. Eng Analysis Bound Elem, 24, 2000. p. 701.
  • Brebbia CA, Connor JJ. Fundamentals of finite element techniques for structural engineers. London: Butterworth; 1973.
  • Brebbia CA, Dominguez J. Boundary element methods for potential problems. Appl Math Modell 1977;1:372-8.
  • Brebbia CA. Boundary elements XXVI. Proceedings of 26th international conference on boundary element methods. Bologna, Italy: WIT Press; 2004.
  • Brebbia CA, Tottenham H. The first international conference on variational methods in engineering. University of Southampton, UK 1972.
  • Connor JJ, Brebbia CA. Finite element techniques for fluid flow. London: Newnes-Butterworths; 1976.
  • Costabel M. Boundary integral operators on Lipschitz domains: elementary results. SIAM J Math Analysis 1988;19:613-26.
  • Cruse TA. A direct formulation and numerical solution of the general transient elastodynamic problem-II. J Math Analysis Appl 1968;22:341-55.
  • Cruse TA. Numerical solutions in three dimensional elastostatics. Int J Solids Struct 1969;5:1259-74.
  • Cruse TA. In: Brebbia CA, Tottenham H, editors. Application of the boundary-integral equation solution method in solid mechanics. Variational method in engineering, vol. II, Proceedings of an international conference. Southampton: Southampton University Press; 1972. p. 9-929.
  • Cruse TA, Rizzo FJ. Boundary-integral equation method: computational applications in applied mechanics. Applied mechanics conference, ASME, Rensselaer Polytechnic Institute, June 23-25,. AMD-vol. 11 1975.
  • Fairweather G, Karageorghis A. The method of fundamental solutions for elliptic boundary value problems. Adv Comput Math 1998;9:69-95.
  • Friedman MB, Shaw R. Diffraction of pulse by cylindrical obstacles of arbitrary cross section. J Appl Mech, Trans ASME 1962;29:40-6.
  • Golberg MA. A survey of numerical methods for integral equations. In: Golberg MA, editor. Solution methods for integral equations. New York: Plenum Press; 1978. p. 1-58. Chapter 1.
  • Greenberg MD. Application of Green's functions in science and engineering. Englewood Cliffs, NJ: Prentice Hall; 1971.
  • Hess JL. Review of integral-equation techniques for solving potential-flow problems with emphasis on the surface source method. Comp Meth Appl Mech Eng 1975;5:145-96.
  • Jaswon MA. Integral equation methods in potential theory I. Proc R Soc, A 1963;275:23-32.
  • Jaswon MA. An introduction to mathematical crystallography. New York: American Elsevier; 1965.
  • Jaswon MA, Ponter AR. An integral equation solution of the torsion problem. Proc R Soc, A 1963;273:237-46.
  • Jaswon MA, Symm GT. Integral equation methods in potential theory and elastostatics. London: Academic Press; 1977.
  • Kupradze VD. Potential methods in the theory of elasticity. In: Sneddon IN, Hills R, editors. Israeli program for scientific translation, 1965 [earlier edition: Kupradze VD, Dynamical problems in elasticity, vol. III in Progress in solid mechanics, eds. Sneddon IN, Hills R. North-Holland; 1963].
  • Massonet CE. In: Zienkiewicz OC, Hollister GS, editors. Numerical use of integral procedures. Stress analysis. New York: Wiley; 1965. p. 198-235. Chapter 10.
  • Morse PM, Feshbach H. Methods of theoretical physics. New York:McGraw-Hill; 1953.
  • Muskhelishvili NI. On the numerical solution of the plane problems of the theory of elasticity. Trudy Tbilisskogo Matematicheskogo Instituta 1937;1:83-7 [in Georgian].
  • Oliveira ERA. Plane stress analysis by a general integral method. J Eng Mech Div, ASCE 1968;94:79-101.
  • Ponter ARS. An integral equation solution of the inhomogeneous torsion problem. J SIAM Appl Math 1966;14:819-30.
  • Reissner E. On a variational theorem in elasticity. J Math Phys 1950; 29:90-5.
  • Rizzo FJ. An integral equation approach to boundary value problems of classical elastostatics. Q Appl Math 1967;25:83-95.
  • Rizzo FJ, Shippy DJ. Formulation and solution procedure for the general non-homogeneous elastic inclusion problem. Int J Solids Struct 1968;4:1161-79.
  • Rizzo FJ, Shippy DJ. A method for stress determination in plane anisotropic bodies. J Compos Mater 1970;4:36-61.
  • Rizzo FJ, Shippy DJ. A method of solution for certain problems of transient heat conduction. AIAA J 1970;8:2004-9.
  • Shaw RP. Diffraction of acoustic pulses by obstacles of arbitrary shape with a Robin boundary condition. J Acoust Soc Am 1967;41:855-9.
  • Shaw RP. A history of boundary elements, in Boundary Elements XV. In: Brebbia CA, Rencis JJ, editors. Fluid flow and computational aspects, Worcester, Massachusetts, vol. 1. CMP/Elsevier; 1993. p. 265-80.
  • Swedlow JL, Cruse TA. Formulation of boundary integral equations for three-dimensional elasto-plastic flow. Int J Solids Struct 1971;7:1673-83.
  • Symm GT. Integral equation methods in potential theory, II. Proc R Soc, A 1963;275:33-46.
  • Tazzioli R. Green's function in some contributions of 19th century mathematicians. Historia Mathematica 2001;28:232-52.
  • Tracey DM. Finite elements for determination of crack tip elastic stress intensity factors. Eng Fract Mech 1971;3:255-65.
  • Washizu K. Variational methods in elasticity and plasticity.:Pergamon Press; 1968.



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