Superconvergence of the gradient of finite element solutions
From MaRDI portal
Publication:4199470
DOI10.1051/m2an/1979130201391zbMath0412.65051OpenAlexW2586064390MaRDI QIDQ4199470
Publication date: 1979
Published in: RAIRO. Analyse numérique (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/193337
Dirichlet problemboundary value problemssuperconvergenceGauss-Legendre pointsfinite element serendipity family
Variational methods applied to PDEs (35A15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Numerical solution of boundary value problems involving ordinary differential equations (65L10)
Related Items
Superconvergence analysis of approximate boundary-flux calculations, Higher-order gradient post-processings for second-order elliptic problems, Validation of recipes for the recovery of stresses and derivatives by a computer-based approach, \(\eta\%\)-superconvergence in the interior of locally refined meshes of quadrilaterals: Superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations, Finite element derivative recovery by moving least square interpolants, \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles, A posteriori error estimation in finite element analysis, Derivative superconvergence of rectangular finite elements for the Reissner-Mindlin plate, Numerical analysis of the general biharmonic problem by the finite element method, A note on \(C^ 0\) Galerkin methods for two-point boundary problems, On finite element approximation of the gradient for solution of Poisson equation, Convergence of the nonconforming Wilson element for arbitrary quadrilateral meshes, Recovery-based error estimators for the VEM and BEM-based FEM, Superconvergence in the generalized finite element method, 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation, A posteriori error estimators in the finite element method, Unnamed Item, On mixed finite element formulations and stress recovery techniques, Supraconvergent cell-centered scheme for two dimensional elliptic problems, Superconvergence of the gradient of Galerkin approximations for elliptic problems, Superconvergence of the gradient of Galerkin approximations for elliptic problems, On the asymptotic exactness of error estimators based on the equilibrated residual method for quadrilateral finite elements, \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes, A nonstandard linear finite element method for a planar elasticity problem, Stabilized methods and post-processing techniques for miscible displacements, On superconvergence of isoparametric bilinear finite elements, Superconvergence of \(C^0-Q^k\) finite element method for elliptic equations with approximated coefficients, Superconvergence of high order finite difference schemes based on variational formulation for elliptic equations, Superconvergent patch recovery and a posteriori error estimation technique in adaptive isogeometric analysis, The highest order superconvergence for bi-$k$ degree rectangular elements at nodes: A proof of $2k$-conjecture, Unnamed Item, On the supraconvergence of elliptic finite difference schemes, Superconvergence phenomenon in the finite element method arising from averaging gradients
Cites Work
