Computable error bounds for variational functionals of solutions of a convolution integral equations of the first kind
作者： Edward F. Kuester
DOI: 10.1016/0165-2125(95)00020-J
关键词: Mathematics 、 Integral equation 、 Fredholm theory 、 Applied mathematics 、 Volterra integral equation 、 Fredholm integral equation 、 Mathematical analysis 、 Simple (abstract algebra) 、 A priori and a posteriori
摘要: Abstract Computable a posteriori bounds are derived for the error in variational functionals of approximate solutions convolutiontype Fredholm integral equations first kind which arise many areas applied mathematics. These illustrated simple problem, and extensions to more general situations also indicated.
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sci-hub.se 参考文章(52)
Bruce A. Finlayson, The method of weighted residuals and variational principles ,(1972)
Vivette Girault, Pierre-Arnaud Raviart, Finite Element Methods for Navier-Stokes Equations: Theory and Algorithms ,(1986)
Raj Mittra, Numerical and asymptotic techniques in electromagnetics ,(1975)
Miloslav Feistauer, George C. Hsiao, Ralph E. Kleinman, Asymptotic and a posteriori error estimates for boundary element solutions of hypersingular integral equations SIAM Journal on Numerical Analysis. ,vol. 33, pp. 666- 685 ,(1996) , 10.1137/0733034
Ernst P. Stephan, Wolfgang L. Wendland, An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems Applicable Analysis. ,vol. 18, pp. 183- 219 ,(1984) , 10.1080/00036818408839520
James H. Wilkinson, Rounding Errors in Algebraic Processes ,(1964)
V.J. Ervin, N. Heuer, E.P. Stephan, On the h-p version of the boundary element method for Symm's integral equation on polygons Computer Methods in Applied Mechanics and Engineering. ,vol. 110, pp. 25- 38 ,(1993) , 10.1016/0045-7825(93)90017-R
L.M Delves, Round-off errors in variational calculations Journal of Computational Physics. ,vol. 3, pp. 17- 28 ,(1968) , 10.1016/0021-9991(68)90002-8
J. Mika, D. C. Pack, R. J. Cole, G. F. Roach, Optimal bounds for bilinear forms associated with linear equations Mathematical Methods in The Applied Sciences. ,vol. 7, pp. 518- 531 ,(1985) , 10.1002/MMA.1670070137
David W. Kammler, An Error Bound for Capacitance Calculations SIAM Journal on Numerical Analysis. ,vol. 6, pp. 254- 257 ,(1969) , 10.1137/0706023