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Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) (French. Abridged English version) Zbl 0755.65103

Summary: We build operators which lift polynomials on the edges of a triangle or a square into polynomials. These operators are continuous in usual Sobolev norms for the triangles and in weighted Sobolev norms for the square.

MSC:

65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
46G15 Functional analytic lifting theory
65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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