HIGH ORDER FINITE ELEMENT BASES FOR H(div) SPACES BASED ON 3D ADAPTIVE CURVED MESHES

Two stable approximation space configurations are treated for discrete versions of the mixed finite element method for elliptic problems. The construction of these approximation spaces are based on curved 3D meshes composed of different topologies (tetrahedral, hexahedral or prismatic elements). Furthermore, their choices are guided by the property that, in the master element, the image of the flux space by the divergence operator coincides with the primal space. Additionally, by using static condensation, the global condensed matrices sizes, which are proportional to the dimension of border fluxes, are reduced, noting that this dimension is the same in both configurations. For uniform meshes with constant polynomial degree distribution, accuracy of order k + 1 or k + 2 for the primal variable is reached, while keeping order k + 1 for the flux in both configurations. The case of hp-adaptive meshes is treated for application to the simulation of the flow in a porous media around a cylindrical well. The effect of parallelism and static condensation in CPU time reduction is illustrated

Predictors of mortality by Cox regression analysis.

<p>Predictors of mortality by Cox regression analysis.</p

Relation between QRS-T angle and left ventricular systolic function.

<p><b>(A)</b> Scatter plot demonstrating an inverse linear relation between QRS-T angle and left ventricular ejection fraction. Linear regression: R² = 0.103, B = -1.06, Standard error 0.11, P<0.0001. <b>(B)</b> Box plot of the median QRS-T angle stratified according to the left ventricular ejection fraction. Median QRS-T angle was wider with reduction in left ventricular ejection fraction (Kruskal Wallis test; P<0.001). Box plots denote median and inter-quartile range (IQR); whiskers are of maximum 1.5 IQR.</p

Hazard ratio for clinical outcome according to QRS-T angle levels by Cox regression analysis.

<p>Hazard ratio for clinical outcome according to QRS-T angle levels by Cox regression analysis.</p

Changes in the QRS-T angle.

<p>Histogram of the QRS-T angle difference in degrees between baseline and follow-up ECG. The continuous line denotes the normal distribution curve.</p

Kaplan Meier survival analysis according to baseline QRS-T angle category stratified by gender.

<p>The tertile QRS-T angle percentiles were 40° and 103° in women and 51° and 125° in men. The estimated cumulative survival rate at the median follow-up time was reduced with increasing baseline QRS-T angle category; 67.9±1.5% vs. 61.2±1.5% vs. 52.1±1.6%, P<0.001.</p