A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems
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Publication:4098601
DOI10.1137/0713032zbMath0332.65050OpenAlexW2005863459MaRDI QIDQ4098601
Publication date: 1976
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0713032
General theory of numerical analysis in abstract spaces (65J05) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
Related Items (21)
Unnamed Item ⋮ Validation of recipes for the recovery of stresses and derivatives by a computer-based approach ⋮ Some further properties of the superconvergent flux projection ⋮ Analysis of material interface dicontinuities and superconvergent fluxes in finite difference theory ⋮ Defect correction from a Galerkin viewpoint ⋮ \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles ⋮ Acceleration of convergence for finite element solutions of the Poisson equation ⋮ Superconvergence points for higher-order derivative interpolation and its applications in spectral collocation method ⋮ Derivative calculation from finite element solutions ⋮ Orthogonal collocation revisited ⋮ Superconvergence analysis of flux computations for nonlinear problems ⋮ Numerical solution of a spectral problem for an ode with a small parameter using an asymptotic expansion and a finite element method ⋮ On superconvergence techniques ⋮ Finite element model of viscoelastic membrane deformation ⋮ Superconvergence of the \(h\)-\(p\) version of the finite element method in one dimension ⋮ Postprocessing of non-conservative flux for compatibility with transport in heterogeneous media ⋮ Superconvergence of the numerical traces of discontinuous Galerkin and Hybridized methods for convection-diffusion problems in one space dimension ⋮ Unnamed Item ⋮ Approximate boundary-flux calculations ⋮ Convergence analysis of least-squares mixed finite elements ⋮ Error estimates of a Galerkin method for some nonlinear Sobolev equations in one space dimension
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