In this paper, we propose an adaptive fast solver for a general class of symmetric positive definite (SPD) matrices which include the well-known graph Laplacian. We achieve this by developing an adaptive operator compression scheme and a multiresolution matrix factorization algorithm which achieve nearly optimal performance on both complexity and well-posedness. To develop our adaptive operator...

conclusions after kyphoplasty, her pain was immediately resolved, vertebral body height was restored to normal, and pain score was reduced from 8 to 1. she was discharged with a normal neurological examination and good general condition, and returned to her normal life. in this case, balloon kyphoplasty resulted in the restoration of the vertebral body height, decrease in pain, and returning to...

The tensile modulus of articular cartilage is much larger than its compressive modulus. This tension-compression nonlinearity enhances interstitial fluid pressurization and decreases the frictional coefficient. The current set of studies examines the tensile and compressive properties of cylindrical chondrocyte-seeded agarose constructs over different developmental stages through a novel method...

Since the first investigations on web graph compression, it has been clear that the ordering of the nodes of the graph has a fundamental influence on the compression rate (usually expressed as the number of bits per link). The authors of the LINK database [2], for instance, investigated three different approaches: an extrinsic ordering (URL ordering) and two intrinsic orderings based on the row...

High-performance polymer fibres offer promising tensile and physical properties but are rarely used in structural composite applications due to their poor compressive performance. To better understand performance inside a composite, unidirectional thermoset composites made with three types of were tested shear-loaded compression. The results confirmed the despite good fibre alignment, low poros...

This study evaluates the effectiveness of using different plasma treatments to favor compatibility between rubber and a cement matrix in composites, thus leading surface reactivity component. Plasma-treated rubbers were introduced into two types concrete. Mechanical tests highlighted that Portland concrete composites filled with N2/H2 plasma-treated had increased flexural strength, toughness, c...

Motivated by a model that qualitatively captured the response of vertically aligned carbon nanotube (VACNT) pillars in uniaxial compression, we consider the uniaxial tensile response of a class of compressible elastic-viscoplastic solids. In Hutchens et al. [“Analysis of Uniaxial Compression of Vertically Aligned Carbon Nanotubes,” J. Mech. Phys. Solids, 59, pp. 2227–2237 (2011), Erratum 60, 17...

We consider principal curves and surfaces in the context of multivariate regression modelling. For predictor spaces featuring complex dependency patterns between the involved variables, the intrinsic dimensionality of the data tends to be very small due to the high redundancy induced by the dependencies. In situations of this type, it is useful to approximate the high-dimensional predictor spac...