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Finite element methods for second order differential equations with significant first derivatives. (English) Zbl 0342.65065


MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65L10 Numerical solution of boundary value problems involving ordinary differential equations
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:

[1] Runchal, Int. J. num. Meth. Engng 4 pp 541– (1972)
[2] Spalding, Int. J. num. Meth. Engng 4 pp 551– (1972)
[3] ’Finite element analysis for flow between rotating discs using exponentially weighted basis functions’, Lanchester Polytechnic Report (1975).
[4] Blackburn, Int. J. num. Meth. Engng 10 pp 718– (1976)
[5] ’A finite element method for a two point boundary value problem with a small parameter affecting the highest derivative’, Trinity College Dublin Mathematics School Report TCD-1975-11 (1975).
[6] and , ’Newtonian and non-Newtonian viscous incompression flow’, Conf. Math. of Finite Elements, Brunel University (1975).
[7] Abrahamsson, Numer. Math. 22 pp 367– (1974)
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