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Dual variational principles for an elliptic partial differential equation. (English) Zbl 0345.35035

MSC:
35J20 Variational methods for second-order elliptic equations
35B45 A priori estimates in context of PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
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References:
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[2] Babuška I., Kellog R. D.: Numerical solution of the neutron diffusion equation in the presence of corners and interfaces. Numerical reactor calculations, Panel IAEA-SM-154/59, Vienna 1973.
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[4] Grenacher F.: A posteriori error estimates for elliptic partial differential equations. Technical Note BN-743, Institute for Fluid Dynamics and Applied Mathematics, University of Maryland, 1972.
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[8] Semenza L. A., Lewis E. E., Rossow E. C.: A finite element treatment of neutron diffusion. Trans. Am. Nucl. Soc. 14, (1971), 200.
[9] Semenza L. A., Lewis E. E., Rossow E. C.: Dual finite element methods for neutron diffusion. Trans. Am. Nucl. Soc., 14 (1971), 662.
[10] Strang G., Fix G. J.: An analysis of the finite element method. Prentice-Hall, Englewood Cliffs, New Jersey, 1973. · Zbl 0356.65096
[11] Taylor A. E.: Introduction to functional analysis. John Willey & Sons, New York, 1967.
[12] Vacek J.: Dual variational principles for neutron diffusion equation. thesis, MFF UK, Praha, 1974
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