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 18 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 PDF BibTeX XML Cite \textit{D. F. Griffiths} and \textit{J. Lorenz}, Comput. Methods Appl. Mech. Eng. 14, 39--64 (1978; Zbl 0384.76065) Full Text: DOI OpenURL 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). [2] Zienciewicz, O.C., () [3] Roache, P.J., Computational fluid dynamics, (1976), 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, () [6] () [7] Christie, I., (), (in preparation). [8] Beyn, W.-J.; Lorenz, J., On convergence of finite element methods for non-coereive problems, () [9] Schultz, M.H., Spline analysis, (1973), 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 New York · Zbl 0336.35001 [11] Agmon, S., Lectures on elliptic boundary value problems, (1965), Van Nostrand Princeton, NJ · Zbl 0151.20203 [12] Varga, R.S., Matrix iterative analysis, (1962), 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 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, () · 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.