Bernardi, Christine; Dauge, Monique; Maday, Yvon Trace liftings which preserve polynomials. (Relèvements de traces préservant les polynômes.) (French. Abridged English version) Zbl 0755.65103 C. R. Acad. Sci., Paris, Sér. I 315, No. 3, 333-338 (1992). 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. Cited in 1 ReviewCited in 10 Documents 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 Keywords:lifting operators; spectral methods; \(p\)-version of the finite element method; Sobolev spaces; trace liftings; Sobolev norms PDF BibTeX XML Cite \textit{C. Bernardi} et al., C. R. Acad. Sci., Paris, Sér. I 315, No. 3, 333--338 (1992; Zbl 0755.65103) OpenURL