Optimal convergence estimates for the trace of the polynomial $L^{2}$-projection operator on a simplex
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Publication:5389432
DOI10.1090/S0025-5718-2011-02513-5zbMath1242.41007OpenAlexW2090890880MaRDI QIDQ5389432
Publication date: 26 April 2012
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-2011-02513-5
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (13)
Non-conforming harmonic virtual element method: \(h\)- and \(p\)-versions ⋮ On the stability of the boundary trace of the polynomial \(L^2\)-projection on triangles and tetrahedra ⋮ Robust interior penalty discontinuous Galerkin methods ⋮ An \textit{hp}-version error analysis of the discontinuous Galerkin method for linear elasticity ⋮ A new triangular spectral element method. I: Implementation and analysis on a triangle ⋮ A fast discrete spectral method for stochastic partial differential equations ⋮ Review of Discontinuous Galerkin Finite Element Methods for Partial Differential Equations on Complicated Domains ⋮ An absolutely stable $hp$-HDG method for the time-harmonic Maxwell equations with high wave number ⋮ A penalized weak Galerkin spectral element method for second order elliptic equations ⋮ Hypocoercivity-compatible Finite Element Methods for the Long-time Computation of Kolmogorov's Equation ⋮ Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II ⋮ hp-Version discontinuous Galerkin methods on polygonal and polyhedral meshes ⋮ The triangular spectral element method for Stokes eigenvalues
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