This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
M.M. Vainberg, Variational method and method of monotone operators in the theory of nonlinear equations, Wiley, 1973.
O. Axelsson, U. Nävert, On a graphical package for nonlinear partial differential equation problems, Proc. IFIP Congress 77, B. Gilchrist (ed.), North-Holland Publ. Comp. (1977).
O. Axelsson, A class of iterative methods for finite element equations, Comp. Meth. Appl. Mech. Engrg 9(1976), 123–137.
O. Axelsson, T. Steihaug, Some computational aspects in the numerical solution of parabolic equations, in preparation.
R. Bartels, J.W. Daniel, A conjugate gradient approach to nonlinear elliptic boundary value problems in irregular regions, CNA63, Center for Numerical Analysis, Austin, Texas, 1973.
P. Concus, G.H. Golub, D. O'Leary, Numerical solution of nonlinear elliptic partial differential equations, STAN-CS-76-585, Computer Science Departmetn, Stanford University, 1976.
D. O'Leary, Hybrid conjugate gradient algorithms, STAN-CS-76-548, Computer Science Department, Stanford University, 1976.
O. Axelsson, Error estimates for Galerkin methods for quasilinear parabolic and elliptic differential equations in divergence form, Numer. Math. 28, 1–14, (1977).
T. Dupont, Some L2error estimates for parabolic Galerkin method in The mathematical foundations of the finite element method with applications to partial differential equations (A.K. Aziz, ed.) 491–504. Academic Press N.Y. 1972.
I. Hlavàcek, On a semi-variational method for parabolic equations I, Aplikaee Matematiky 17(1972), 327–351.
J. Douglas, T. Dupont, A Galerkin method for a nonlinear Dirichlet problem, Math. Comp. 29(1975), 689–696.
M.F. Wheeler, A priori L2error estimates for Galerkin approximations to parabolic partial differential equations, SIAM J. Numer. Anal. 10(1973), 713–759.
J.E. Dendy, Galerkin's meghod for some highly nonlinear problems, SIAM J. Numer. Anal. 14(1977), 327–347.
H.D. Mittelmann, Numerische Behandlung nichtlinearer Randwertproblemen mit finiten Elementen, Computing 18, 67–77 (1977).
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1979 Spring-Verlag
About this paper
Cite this paper
Axelsson, O. (1979). On the numerical solution of nonlinear partial differential equations on divergence form. In: Fábera, J. (eds) Equadiff IV. Lecture Notes in Mathematics, vol 703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067250
Download citation
DOI: https://doi.org/10.1007/BFb0067250
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09116-5
Online ISBN: 978-3-540-35519-9
eBook Packages: Springer Book Archive