Summary
The paper shows how a finite element solver for linear elliptic equations with an a-posteriori estimator can be extended to the case of eigenvalue problems and nonlinear elliptic problems.
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References
Babuška, I.; Rheinboldt, W.C.: A-posteriori error estimates for the finite element method. Int. J. Num. Mech. Eng. 12 (1978) 1597–1615.
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Babušgka, I.; Rheinboldt, W.C.: Error estimates for adaptive finite element computations. SIAM J. Numer. Anal. 15 (1978) 736–719.
Babušgka, I.; Miller, A.: A-posteriori estimates and adaptive techniques for a finite element method. to appear.
Babušgka, I.; Rheinboldt, W.C.: Reliable error estimation and mesh adaptation for the finite element method. Comp. Meth. Nonlinear Mechanica, J.T. Oden, editor, North Holland Publ. Co. (1980) 61–108.
Rheinboldt, W.C.: On a data structure for adaptive fi-element mesh refinements. ACM transaction on Math. Software 6 (1980) 166–187.
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© 1981 Springer-Verlag Berlin Heidelberg
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Babuska, I. (1981). A-posteriori Error Estimation for the Finite Element Method. In: Wunderlich, W., Stein, E., Bathe, KJ. (eds) Nonlinear Finite Element Analysis in Structural Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81589-8_1
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DOI: https://doi.org/10.1007/978-3-642-81589-8_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-81591-1
Online ISBN: 978-3-642-81589-8
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