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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.
Meyer, C., Rösch, A.
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Bootstraplike Conditions from Superconvergence
Physical Review Letters, 1967We study the generalized superconvergent sum rules for a number of processes of the kind $P+P\ensuremath{\rightarrow}P+V$, where $P$ and $V$ stand for pseudoscalar and vector mesons, respectively. We find simple algebraic equations for the parameters of the leading Regge trajectories which are exchanged.
M. Ademollo +3 more
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Algebraic Realization of Weinberg's Superconvergence Conditions
Physical Review D, 1970Summary: We investigate the algebraic realization of a pair of sum rules proposed by Weinberg for forward scattering of massless pions, for the case when only \(p\)-wave pions are taken into account. It is shown that the algebraic structure of the first superconvergence condition is given by the Lie algebra of the group \(\text{SU}(2)\otimes\text{SU}(4)
Noga, M., Cronström, C.
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Superconvergence Estimates for Hyperbolic Equations
2010 International Conference on Artificial Intelligence and Computational Intelligence, 2010We consider the super convergence of hyperbolic problem. Solving by biquadratic elements, we obtain a fourth order(rather than third order) gradient super convergence results for hyperbolic equations.
Xiao-Qi Liu, Hong-Bin Chen
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Superconvergence Analysis for Metamaterials
2012In this chapter, we first give a quick review of superconvergence analysis in Sect. 5.1. Then we carry out the superclose analysis for 3-D metamaterial Maxwell’s equations represented by the Drude model. The analysis for a semi-discrete scheme is presented in Sect. 5.2, which is followed by the analysis for two fully-discrete schemes in Sect. 5.3.
Jichun Li, Yunqing Huang
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Global Superconvergence in Combinations
1998This chapter combines the piecewise bilinear elements on quasiuniform rectangular elements with the singular functions, to seek the solutions of elliptic boundary value problems of corner singularity. The global superconvergence rates O(h2-δ) for the combinations of RGM-FEM can be achieved for different coupling strategies in Parts II and III. A little
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Algebraic Structure of Superconvergence Relations
Physical Review Letters, 1969How to express superconvergence relations for pion scattering as statements about the generators ${X}_{a}$ of chiral SU (2) \ensuremath{\bigotimes} SU (2) is shown. One of the superconvergence relations has a remarkable algebraic significance: The matrix $m{J}_{y}$ (where $m$ and $\stackrel{\ensuremath{\rightarrow}}{\mathrm{J}}$ are the mass and spin ...
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Superconvergent bootstrap model
Il Nuovo Cimento A, 1967FREUND P. G. O, OEHME R, ROTELLI, Pietro
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Superconvergence Relations for Inclusive Reactions
Physical Review D, 1972Sum rules for inclusive reactions, which are the analogs of superconvergence relations for two-body reactions, are discussed. A local-saturation approximation to one of these sum rules yields ${(\frac{d\ensuremath{\sigma}}{\mathrm{dt}})}_{{\ensuremath{\pi}}^{+}p\ensuremath{\rightarrow}{\ensuremath{\pi}}^{0}{\ensuremath{\Delta}}^{++}}=\frac{3}{2}{(\frac{
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