Superconvergence phenomena in the finite element method
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Publication:1892456
DOI10.1016/S0045-7825(94)80019-7zbMath0820.65071MaRDI QIDQ1892456
Publication date: 14 June 1995
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
finite elementsbibliographysuperconvergencePoisson equationelliptic boundary value problemssurvey article
Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Research exposition (monographs, survey articles) pertaining to numerical analysis (65-02)
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Cites Work
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- The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
- Globale Superkonvergenz bei der Lösung von linearen Randwertaufgaben
- Superconvergence phenomenon in the finite element method arising from averaging gradients
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- On a global superconvergence of the gradient of linear triangular elements
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- A note on a superconvergence result for the generalized airfoil equation
- A posteriori error estimators in the finite element method
- Interior and superconvergence estimates for a primal hybrid finite element method for second order elliptic problems
- A supraconvergent scheme for nonlinear hyperbolic systems
- Superconvergence for Galerkin methods for the two point boundary problem via local projections
- Superconvergence recovery technique anda posteriori error estimators
- On the superconvergence of the Satisfying-Babuska-Brezzi method
- Extrapolation of the Iterated–Collocation Method for Integral Equations of the Second Kind
- Nodal Superconvergence and Solution Enhancement for a Class of Finite-Element and Finite-Difference Methods
- Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity
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- An Analysis of a Superconvergence Result for a Singularly Perturbed Boundary Value Problem
- A Moving Finite Element Method with Error Estimation and Refinement for One-Dimensional Time Dependent Partial Differential Equations
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- Superconvergence of mixed finite element methods for parabolic equations
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- Superconvergence of a Collocation-Type Method for Simple Turning Points of Hammerstein Equations
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- Natural and postprocessed superconvergence in semilinear problems
- ERROR ANALYSIS OF MIXED-INTERPOLATED ELEMENTS FOR REISSNER-MINDLIN PLATES
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- Superconvergence of the gradient of Galerkin approximations for elliptic problems
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