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A right-inverse for divergence operator in spaces of piecewise polynomials. Application to the p-version of the finite element method. (English) Zbl 0504.65060

MSC:
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74S05 Finite element methods applied to problems in solid mechanics
76D07 Stokes and related (Oseen, etc.) flows
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
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References:
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[13] Raviart, P.A., Thomas, J.M.: A mixed finite element method for 2-nd order elliptic problems, pp. 292-315. In: Mathematical Aspects of Finite Element Methods. (eds.) Galligani, I., Magenes, E. Springer Lecture Notes in Math.606, 1975
[14] Temam, R.: Navier-Stokes Equations. North-Holland, 1977 · Zbl 0383.35057
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