Griffiths, D. F.; Lorenz, J. An analysis of the Petrov - Galerkin finite element method. (English) Zbl 0384.76065 Computer Methods Appl. Mech. Engin. 14, 39-64 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 19 Documents MSC: 76R99 Diffusion and convection 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 65D07 Numerical computation using splines PDFBibTeX XMLCite \textit{D. F. Griffiths} and \textit{J. Lorenz}, Comput. Methods Appl. Mech. Eng. 14, 39--64 (1978; Zbl 0384.76065) Full Text: DOI References: [1] R.L. Lee, P.M. Gresho and R.L. Sani, A comparative study of certain finite-element and finite difference methods in advectiondiffusion simulations (preprint).; R.L. Lee, P.M. Gresho and R.L. Sani, A comparative study of certain finite-element and finite difference methods in advectiondiffusion simulations (preprint). [2] Zienciewicz, O. C., (Callagher, R. H.; etal., Proceedings of the Second International Symposium on Finite Element Methods in Flow Problems (1976), Wiley-Interscience: Wiley-Interscience New York) [3] Roache, P. J., Computational fluid dynamics (1976), Hermosa Publishers: Hermosa Publishers Albuquerque, NM [4] Christie, I.; Griffiths, D. F.; Mitchell, A. R.; Zienkiewicz, O. C., Finite element methods for second order differential equations with significant first derivatives, Inter. J. Numer. Meths. Eng., 10, 1379-1387 (1976) · Zbl 0342.65065 [5] Anderson, R.; Mitchell, A. R., Petrov-Galerkin methods, (Numerical Analysis Rept. No. 17 (1976), Univ., Dundee) [6] (Aziz, A. K., The mathematical foundations of the finite element method with applications to partial differential equations (1972), Academic Press: Academic Press New York) · Zbl 0259.00014 [7] Christie, I., (Ph.D.dissertation. (1977), Univ. Dundee), (in preparation). [8] Beyn, W.-J.; Lorenz, J., On convergence of finite element methods for non-coereive problems, (Research Paper No. 330 (1976), Department of Mathematics and Statistics: Department of Mathematics and Statistics Calgary) [9] Schultz, M. H., Spline analysis (1973), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0333.41009 [10] Oden, J. T.; Reddy, J. N., An introduction to the mathematical theory of finite elements (1976), Wiley-Interscience: Wiley-Interscience New York · Zbl 0336.35001 [11] Agmon, S., Lectures on elliptic boundary value problems (1965), Van Nostrand: Van Nostrand Princeton, NJ · Zbl 0151.20203 [12] Varga, R. S., Matrix iterative analysis (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, NJ · Zbl 0133.08602 [13] Gantmacher, F. R.; Krein, M. G., Oscillatory matrices and kernels and small vibrations of mechanical systems (1937), Moscow · Zbl 0088.25103 [14] Carrier, G. F.; Pearson, C. E., Ordinary differential equations (1968), Blaisdell: Blaisdell Waltham, MA · Zbl 0165.40601 [15] Varga, R. S., Functional analysis and approximation theory in numerical analysis (1971), SIAM Publications · Zbl 0226.65064 [16] Miller, J. J., A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative, (Report TCD-1955-11 (1975), Trinity College: Trinity College Dublin) · Zbl 0384.65040 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.