Comparison of complex methods for numerical solutions of boundary problems of the Laplace equation

Engineering Analysis with Boundary Elements

Volumn 28, Issue 6, 2004, Pages 615-622

  Aleynikov, S M ^a   Stromov, A V ^a  

^a VORONEZH STATE TECHNICAL UNIVERSITY   (Russian Federation)

Author keywords

Complex polynomial method; Complex variable boundary element method

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; ELECTROSTATICS; FILTRATION; FINITE ELEMENT METHOD; FLOW OF FLUIDS; HEAT TRANSFER; LAPLACE TRANSFORMS; POLYNOMIALS;

COMPLEX POLYNOMIAL METHOD; COMPLEX VARIABLE BOUNDARY ELEMENT METHOD; LAPLACE EQUATIONS;

BOUNDARY VALUE PROBLEMS;

EID: 2342572813     PISSN: 09557997     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.enganabound.2003.10.003     Document Type: Article

References (17)

1. Koshlyakov N.S., Gliner E.B., Smirnov M.M. Equations in partial derivatives of mathematical physics. 1970;Vysshaya shkola, Moscow. [In Russian].
2. Muskhelishvili N.I. Some basic problems of mathematical theory of elasticity. 1953;P. Noordhoff Ltd, Groningen.
3. Bezukhov N.I., Luzhin O.V. Application of methods of the theory of elasticity and plasticity to the solution of engineering problems. 1974;Vysshaya shkola, Moscow. [In Russian].
4. Banerjee P.K., Butterfield R. Boundary element methods in engineering science. 1981;McGraw-Hill, London.
5. Brebbia C.A., Walker S. Boundary element techniques in engineering. 1980;Newnes-Butterworths, London.
6. Hromadka T.V. II, Lai C. The complex variable boundary element method in engineering analysis. 1990;Springer, New York.
7. Lavrentiev M.A., Shabat B.V. Methods of the function theory of complex variable. 1973;Nauka, Moscow. [In Russian].
8. Tsibenko A.S., Lavrikov S.A. Straight symmetric formulation of the boundary integral equations method. Elasticity Problems. 11:1984;. [In Russian].
9. Kämmel G., Franeck H. Einführung in die Methode der finiten Elemente. 1988;Fahbuch, Leipzig.
10. Norrie D.H., de Vries G. An introduction to finite element analysis. 1978;Academic Press, New York.
11. Wrobel L.C. The boundary element method. Applications in thermo-fluids and acoustics. vol. 1:2002;Wiley, New York.
12. Arutunyan N.K., Abramyan B.L. Torsion of elastic bodies. 1963;Physmatgiz, Moscow. [In Russian].
13. Varvak PM, Ryabov AF, editors. Handbook of the theory of elasticity. Kiev: Budivelnik; 1971. [In Russian].
14. Ttimoshenko S.P., Goodier J.M. Theory of elasticity. 1961;McGraw-Hill, New York.
15. Gaier D. Vorlesungen über approximation im komplexen. 1980;Birkhäuser Verlag, Basel.
16. Mendelson A., Albers L.U. Application of boundary integral equations to elastoplastic problems. Boundary-integral equation method: computational applications in applied mechanics. 1975;The American Society of Mechanical Engineers, New York.
17. German KA, Tyutyukin GV. Torsion of simply connected inelastic rods. Mathematical simulation in continuum mechanics. Boundary and finite elements methods. Papers from the 17th International Conference, St-Petersburg; 1999. [In Russian].