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On mixed finite element methods for first order elliptic systems (1981)

Fix, G. J. ; Gunzburger, M. D. ; Nicolaides, R. A.

Springer

Numerische Mathematik 37 (1981), S. 29-48

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ISSN: 0945-3245

Keywords: AMS(MOS): 65N30 ; CR5.17

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary A physically based duality theory for first order elliptic systems is shown to be of central importance in connection with the Galerkin finite element solution of these systems. Using this theory in conjunction with a certain hypothesis concerning approximation spaces, optimal error estimates for Galerkin type approximations are demonstrated. An example of a grid which satisfies the hypothesis is given and numerical examples which illustrate the theory are provided.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01396185

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