Adaptive higher-order finite element methods (hp-FEM) are well known for their potential of exceptionally fast (exponential) convergence. However, most hp-FEM codes remain in an academic setting due to an extreme algorithmic complexity of hp-adaptivity algorithms. This paper aims at simplifying hpadaptivity for H(curl)-conforming approximations by presenting a novel technique of arbitrary-level...

holds for all v ∈ H Γ1(Ω). Problem (1) will be discretized by means of the hp-version of the finite element method using triangular/tetrahedral elements △s, s = 1, . . . , nel, see e.g. Schwab [1998], Solin et al. [2003]. Let △̂d, d = 2, 3 be the reference triangle (tetrahedron) and Fs : △̂ → △s be the (possibly nonlinear) isoparametric mapping to the element △s. We define the finite element spac...

Gastric cancer (GC) is the fourth most common malignant tumor worldwide and the second highest in developing countries (Jemal et al., 2010; Parkin, 2001; Siegel et al., 2012). It also ranks as the second leading cause of cancer death worldwide (Camargo et al., 2012; Yin et al., 2012). Moreover, nearly 47% of worldwide gastric cancer cases occur in China alone (Shen et al., 2013b). Currently rad...

In functional analysis it is of interest to study the following general question: Is the uniform version of a property that holds in all Banach spaces also valid in all Banach spaces? Examples of affirmative answers to the above question are the host of proofs of almost-isometric versions of well known isometric theorems. Another example is Rosenthal’s uniform version of Krivine’s Theorem. Usin...

This paper deals with an adaptive finite element method originally developed by Prof. Leszek Demkowicz for hierarchical basis functions. In this paper, we investigate the extension of the adaptive algorithm for isogeometric analysis performed with B-spline basis functions. We restrict ourselves to h-adaptivity, since the polynomial order of approximation must be fixed in the isogeometric case. ...

Background and Aims: This double blind prospective randomized clinical trial evaluated the efficacy and safety of continuous ultrasound-guided lumbar plexus block compared to continuous ultrasound-guided femoral nerve block, in the intra-operative and postoperative periods after total knee replacement. Methods: Forty ASA I-III patients were randomized to receive: continuous femoral block (n= 20...