Explicit polynomial preserving trace liftings on a triangle

DOI10.1002/mana.200610762zbMath1175.46019OpenAlexW1982316836MaRDI QIDQ3627944

Mark Ainsworth, Leszek F. Demkowicz

Publication date: 13 May 2009

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200610762

zbMATH Keywords

spectral element methoddomain decompositionpolynomial extension\(p\)-version finite element methodtrace liftingpolynomial lifting

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Related Items

Construction of polynomial preserving cochain extensions by blending, Polynomial extension operators. Part III, Thehp-version of the boundary element method with quasi-uniform meshes in three dimensions, Sparse shape functions for tetrahedral \(p\)-FEM using integrated Jacobi polynomials, A Scalable Preconditioner for a Primal Discontinuous Petrov--Galerkin Method, $H^2$-Stable Polynomial Liftings on Triangles, The lifting of polynomial traces revisited, A domain decomposition preconditioner for \(p\)-FEM discretizations of two-dimensional elliptic problems, New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials, \(H^1\), \(H\)(curl) and \(H\)(div)-conforming projection-based interpolation in three dimensions: Quasi-optimal \(p\)-interpolation estimates, Polynomial extension operators for $H^1$, $\boldsymbol {\mathit {H}}(\mathbf {curl})$ and $\boldsymbol {\mathit {H}}(\mathbf {div})$-spaces on a cube, An extension theorem for polynomials on triangles, On commuting $p$-version projection-based interpolation on tetrahedra, Optimal error estimate of a projection based interpolation for the \(p\)-version approximation in three dimensions

Cites Work

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