Solution of Poisson and Laplace equations by quadrilateral quadrature element

International Journal of Solids and Structures

Volumn 35, Issue 21, 1998, Pages 2805-2819

  Zhong, Hongzhi ^a   He, Yuhong ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; LAPLACE TRANSFORMS; POISSON DISTRIBUTION; PROBLEM SOLVING;

LAPLACE EQUATION; POISSON EQUATION; QUADRATURE ELEMENT METHOD;

NUMERICAL METHODS;

EID: 0032108770     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(97)00277-1     Document Type: Article

References (10)

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2. Hartmann, F. (1989) Introduction to Boundary Elements - Theory and Applications. Springer-Verlag, Berlin.
3. Jang, S. K., Bert, C. W. and Striz, A. G. (1989) Application of differential quadrature to static analysis of structural components. International Journal of Numerical Methods in Engineering 28, 561-577.
4. Lefeber, D. (1989) Solving Problems with Singularities Using Boundary Elements. Computational Mechanics Publications, Southampton.
5. Shu, C. and Richards, B. E. (1992) Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations. Int. J. Numer. Meth. in Fluids 15, 791-798.
6. Striz, A. G., Chen, W. and Bert, C. W. (1994) Static analysis of structures by the quadrature element method (QEM), International Journal of Solids and Structures 31(20), 2807-2818.
7. Striz, A. G., Wang, X. and Bert, C. W. (1995) Harmonic differential quadrature method and applications to analysis of structural components. Acta Mechanica 111, 85-94.
8. Timoshenko, S. P. and Goodier, J. N. (1970) Theory of Elasticity, 3rd edn. McGraw-Hill.
9. Zhong, H. Z. (1995) Quadrature element analysis of axisymmetric plates. Unpublished manuscript.
10. Zhong, H. Z. (1996) Elastic torsional analysis of prismatic shafts by differential quadrature method. Int. J. Num. Method for Engng, submitted.