On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra

DOI10.1016/j.camwa.2013.12.016zbMath1350.65014arXiv1302.7189OpenAlexW1684878655MaRDI QIDQ316578

Mohammad Hasan, M. Dambrine

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.7189

zbMATH Keywords

stabilityconvergencepolynomial \(L^2\)-projectionpolynomials on tetrahedrapolynomials on triangles

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Algorithms for approximation of functions (65D15)

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Cites Work

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• On the suboptimality of the \(p\)-version interior penalty discontinuous Galerkin method
• An introduction to Sobolev spaces and interpolation spaces
• Spectral methods on triangles and other domains
• \(hp\)-finite element methods for singular perturbations
• New shape functions for triangular \(p\)-FEM using integrated Jacobi polynomials
• ℎ𝑝-Optimal discontinuous Galerkin methods for linear elliptic problems
• Approximation Theory for the P-Version of the Finite Element Method in Three Dimensions Part II: Convergence of thePVersion of the Finite Element Method
• Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Quadrature Over a Pyramid or Cube of Integrands with a Singularity at a Vertex
• Discontinuoushp-Finite Element Methods for Advection-Diffusion-Reaction Problems
• hp analysis of a hybrid DG method for Stokes flow
• Spectral Methods
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex
• Computing with hp-ADAPTIVE FINITE ELEMENTS
• hp-Interpolation of Nonsmooth Functions and an Application to hp-A posteriori Error Estimation