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Superconvergence in the generalized finite element method [PDF]
Numerische Mathematik, 2007 The paper is concerned with the problem of superconvergence in the context of the generalized finite element method, first introduced by \textit{I. Babuška, G. Caluz} and \textit{J. E. Osborn} [SIAM J. Numer. Anal. 31, 945--981 (1994; Zbl 0807.65114)].
Ivo Babuska +2 more
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Superconvergence of Discontinuous Galerkin Method for Scalar Nonlinear Hyperbolic Equations
SIAM Journal on Numerical Analysis, 2018 © 2018 Society for Industrial and Applied Mathematics. In this paper, we study the superconvergence behavior of the semi-discrete discontinuous Galerkin (DG) method for scalar nonlinear hyperbolic equations in one spatial dimension.
Waixiang Cao +2 more
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Superconvergence and the superconvergent patch recovery
Finite Elements in Analysis and Design, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zienkiewicz, O. C., Zhu, J. Z.
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Communications in Computational Physics, 2023
Summary: New superconvergent structures are proposed and analyzed for the finite volume element (FVE) method over tensorial meshes in general dimension \(d\) (for \(d \geq 2\)); we call these orthogonal superconvergent structures. In this framework, one has the freedom to choose the superconvergent points of tensorial \(k\)-order FVE schemes (for \(k ...
Wang, Xiang +2 more
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Summary: New superconvergent structures are proposed and analyzed for the finite volume element (FVE) method over tensorial meshes in general dimension \(d\) (for \(d \geq 2\)); we call these orthogonal superconvergent structures. In this framework, one has the freedom to choose the superconvergent points of tensorial \(k\)-order FVE schemes (for \(k ...
Wang, Xiang +2 more
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The Superconvergent Cluster Recovery Method
Journal of Scientific Computing, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yunqing Huang, Nianyu Yi
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Superconvergence of projection integrators for conservative system
Journal of Computational Physics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nan Lu +3 more
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Superconvergence Properties of Optimal Control Problems
SIAM Journal on Control and Optimization, 2004Summary: An optimal control problem for a two-dimensional (2-d) elliptic equation is investigated with pointwise control constraints. This paper is concerned with discretization of the control by piecewise constant functions. The state and the adjoint state are discretized by linear finite elements.
Christian Meyer 0001, Arnd Rösch
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Superconvergence and current algebra
Annals of Physics, 1967Abstract We consider some general features of the superconvergence sum rules and of their saturation. We treat also the problem of the structure of current algebra sum rules, discussing the presence of non Regge asymptotic behavior. Finally, we discuss current algebra and superconvergence sum rules for higher-spin targets, and their mutual ...
V De Alfaro +3 more
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An alternative interpretation of superconvergence
International Journal for Numerical Methods in Engineering, 1979AbstractThe superconvergent property of the discrete solution to certain one‐dimensional problems is examined in the context of the weighted residual difference equations and their conservation properties. The difference equations are shown to satisfy the differential equation exactly at nodes and reproduce the derivatives at boundary nodes.
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