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On finite element methods of the least squares type. (English) Zbl 0422.65064

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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[1] Fix, G.J.; Gunzburger, M.D.; Nicolaides, R.A., On mixed finite element methods, Num. math., (1977), ICASE Report No. 77-17
[2] Lions, J.L.; Magenes, E., Nonhomogeneous boundary value problems, (1973), Springer-Verlag New York · Zbl 0251.35001
[3] Fix, G.J.; Gunzburger, M.D., On least squares approximations to indefinite problems of the mixed type, J. num. math. engng, 12, (1978) · Zbl 0378.76046
[4] Morse, P.M.; Ingard, K.U., Theoretical acoustics, (1968), McGraw-Hill New York
[5] Babuska, I.; Aziz, A.K., Mathematical foundations of the finite element method, (1972), Academic Press New York · Zbl 0268.65052
[6] Strang, G.; Fix, G., An analysis of the finite element method, (1973), Prentice-Hall Englewood Cliffs, New Jersey · Zbl 0278.65116
[7] Jesperson, D.C., On least squares decomposition of elliptic boundary value problems, Math. comp., 31, (1977)
[8] Bramble, J.H.; Schatz, A.H., Least squares method for 2mth-order elliptic boundary-value problems, Math. comp., 25, 1-32, (1971) · Zbl 0216.49202
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