Higher order weakly over-penalized symmetric interior penalty methods

DOI10.1016/j.cam.2012.01.025zbMath1273.65174OpenAlexW1963652405MaRDI QIDQ413733

J. Herrera, H. S. Yoon

Publication date: 7 May 2012

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2012.01.025

zbMATH Keywords

numerical resultssecond-order elliptic boundary value problemshigher order\(h\)-\(p\) error estimatesinterior penalty methodsweak over-penalization

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (13)

A balancing domain decomposition by constraints preconditioner for a weakly over-penalized symmetric interior penalty method ⋮ Morley-Wang-Xu element methods with penalty for a fourth order elliptic singular perturbation problem ⋮ A Posteriori Error Estimates of a Weakly Over-Penalized Symmetric Interior Penalty Method for Elliptic Eigenvalue Problems ⋮ A mixed finite element method for the Stokes equations based on a weakly over-penalized symmetric interior penalty approach ⋮ Quasi-optimal convergence rate of an adaptive weakly over-penalized interior penalty method ⋮ Discontinuous Galerkin with weakly over-penalized techniques for Reissner-Mindlin plates ⋮ Error estimates of the weakly over-penalized symmetric interior penalty method for two variational inequalities ⋮ Energy norm error estimates for averaged discontinuous Galerkin methods: multidimensional case ⋮ Piecewise $\mathbf {H^1}$ functions and vector fields associated with meshes generated by independent refinements ⋮ Superconvergence property of an over-penalized discontinuous Galerkin finite element gradient recovery method ⋮ Forty Years of the Crouzeix‐Raviart element ⋮ Weakly over-penalized discontinuous Galerkin schemes for Reissner-Mindlin plates without the shear variable ⋮ Pressure recovery for weakly over-penalized discontinuous Galerkin methods for the Stokes problem

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