Analysis of Finite Element Approximation and Quadrature of Volterra Integral Equations

Numerical Methods for Partial Differential Equations

Volumn 13, Issue 6, 1997, Pages 663-672

  Bedivan, Dana M ^a   Fix, George J ^a  

^a UNIVERSITY OF TEXAS AT ARLINGTON   (United States)

Author keywords

Finite element method; Galerkin method; Projection method; Volterra integral equations

Indexed keywords

EID: 0040951752     PISSN: 0749159X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1098-2426(199711)13:6<663::AID-NUM4>3.0.CO;2-P     Document Type: Article

References (10)

1. C. Corduneanu, Integral Equations and Applications, Cambridge University Press, Cambridge, 1991.
2. M. Renardy, W. J. Hrusa, and J. A. Nohel, Mathematical Problems in Viscoelasticity, Longman Scientific and Technical, New York, 1987.
3. P. Linz, Analytical and Numerical Methods for Volterra Equations, SIAM, Philadelphia, 1985.
4. M. A. Goldberg, Numerical Solution of Integral Equations, Plenum Press, New York, 1990.
5. W. Hackbusch, Integral Equations, Theory and Numerical Treatment, Birkhäuser, Basel, 1995.
6. K. Yosida, Functional Analysis, Springer-Verlag, New York, 1980.
7. D. M. Bedivan and G. J. Fix, "Finite element approximation of Volterra integral equations", in Volterra Equations and Applications, C. Corduneanu and I. W. Sandberg, Eds., Marcel Dekker, to appear.
8. I. Babuska and A. K. Aziz (co-authored with G. J. Fix and R. B. Kellogg), "Mathematical foundations of the finite element method," in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz, Ed., Academic Press, New York and London, 1972, pp. 5-359.
9. G. Strang and G. J. Fix, An Analysis of the Finite Element Method, Prentice-Hall, Englewood Cliffs, New Jersey, 1973.
10. G. J. Fix, "Effects of quadrature errors in finite element method approximation of steady state, eigen-value and parabolic problems", in The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, A. K. Aziz, Ed., Academic Press, New York and London, 1972, pp. 525-556.