scholarly journals Arbitrary-level hanging nodes for adaptivehp-FEM approximations in 3D

2014 ◽  
Vol 270 ◽  
pp. 121-133 ◽  
Author(s):  
Pavel Kus ◽  
Pavel Solin ◽  
David Andrs
Keyword(s):  
Hanging Nodes ◽  
Arbitrary Level

Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM

2008 ◽  
Vol 77 (1) ◽  
pp. 117-132 ◽  
Author(s):  
Pavel Šolín ◽  
Jakub Červený ◽  
Ivo Doležel
Keyword(s):  
Hanging Nodes ◽  
Automatic Adaptivity ◽  
Arbitrary Level

scholarly journals WAKIMOTO REALIZATION OF THE ELLIPTIC QUANTUM GROUP $U_{q,p}(\widehat{{\rm sl}_N})$

2009 ◽  
Vol 24 (30) ◽  
pp. 5561-5578
Author(s):  
TAKEO KOJIMA
Keyword(s):  
Quantum Group ◽  
Free Field ◽  
Quantum Algebra ◽  
Free Field Realization ◽  
Wakimoto Realization ◽  
Arbitrary Level ◽  
Elliptic Quantum

We construct a free field realization of the elliptic quantum algebra [Formula: see text] for arbitrary level k ≠ 0, -N. We study Drinfeld current and the screening current associated with [Formula: see text] for arbitrary level k. In the limit p → 0 this realization becomes q-Wakimoto realization for [Formula: see text].

scholarly journals ON THE p-ADIC GEOMETRY OF TRACES OF SINGULAR MODULI

2005 ◽  
Vol 01 (04) ◽  
pp. 495-497 ◽  
Author(s):  
BAS EDIXHOVEN
Keyword(s):  
Shimura Curves ◽  
Modular Curves ◽  
Genus Zero ◽  
Singular Moduli ◽  
Arbitrary Level ◽  
Local Nature ◽  
Do So

The aim of this article is to show that p-adic geometry of modular curves is useful in the study of p-adic properties of traces of singular moduli. In order to do so, we partly answer a question by Ono [7, Problem 7.30]. As our goal is just to illustrate how p-adic geometry can be used in this context, we focus on a relatively simple case, in the hope that others will try to obtain the strongest and most general results. For example, for p = 2, a result stronger than Theorem 2 is proved in [2], and a result on some modular curves of genus zero can be found in [8]. It should be easy to apply our method, because of its local nature, to modular curves of arbitrary level, as well as to Shimura curves.

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