Computational Mathematics (CM)
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GoalOriented Adaptivity using Unconventional Error Representations
(201709)In GoalOriented Adaptivity (GOA), the error in a Quantity of Interest (QoI) is represented using global error functions of the direct and adjoint problems. This error representation is subsequently bounded above by ... 
Timeresolved Adaptive Direct FEM Simulation of Highlift Aircraft Configurations
(Numerical simulation of the aerodynamics of highlift configurations, 20170801)Our simulation methodology is referred to as Direct FEM Simulation (DFS), or General Galerkin (G2) and uses a finite element method (FEM) with piecewise linear approximation in space and time, and with numerical stabilization ... 
Dispersionminimizing quadrature rules for $C^1$ quadratic isogeometric analysis
(Computer Methods in Applied Mechanics and Engineering, 20170920)We develop quadrature rules for the isogeometric analysis of wave propagation and structural vibrations that minimize the discrete dispersion error of the approximation. The rules are optimal in the sense that they only ... 
GoalOriented pAdaptivity using Unconventional Error Representations for a 1D Steady State ConvectionDiffusion Problem
(Procedia Computer Science, 2017)This work proposes the use of an alternative error representation for GoalOriented Adaptivity (GOA) in context of steady state convection dominated diffusion problems. It introduces an arbitrary operator for the computation ... 
ICCS 2017 Workshop on AgentBased Simulations, Adaptive Algorithms and Solvers
(Procedia Computer Science, 2017)This workshop seeks to integrate results from different domains of computer science, computational science, and mathematics. We welcome simulation papers, either hard simulations using finite element or finite difference ... 
A numerical study on the hydrodynamic impact of device slenderness and array size in wave energy farms in realistic wave climates
(Ocean Engineering, 20170710)The future of wave energy converters lies in the design and realization of farms comprising of several devices, given the level of actual power flow for the individual devices and because of several operational issues. ... 
Layout Optimisation of Wave Energy Converter Arrays
(Energies, 20170824)This paper proposes an optimisation strategy for the layout design of wave energy converter (WEC) arrays. Optimal layouts are sought so as to maximise the absorbed power given a minimum qfactor, the minimum distance between ... 
Optimally refined isogeometric analysis
(Procedia Computer Science, 201706)Performance of direct solvers strongly depends upon the employed discretization method. In particular, it is possible to improve the performance of solving Isogeometric Analysis (IGA) discretizations by introducing multiple ... 
Automatic fitting of conical envelopes to freeform surfaces for flank CNC machining
(Computer Aided Design, 201710)We propose a new algorithm to detect patches of freeform surfaces that can be well approximated by envelopes of a rotational cone under a rigid body motion. These conical envelopes are a preferable choice from the ... 
Grouplevel progressive alterations in brain connectivity patterns revealed by diffusiontensor brain networks across severity stages in Alzheimer's disease
(Frontiers in Aging Neuroscience, 20170701)Alzheimer’s disease (AD) is a chronically progressive neurodegenerative disease highly correlated to aging. Whether AD originates by targeting a localized brain area and propagates to the rest of the brain across ... 
Towards HPCEmbedded Case Study: Kalray and MessagePassing on NoC
(Scalable Computing, 2017)Today one of the most important challenges in HPC is the development of computers with a low power consumption. In this context, recently, new embedded manycore systems have emerged. One of them is Kalray. Unlike other ... 
New Simplified Algorithm for the Multiple Rotating Frame Approach in Computational Fluid Dynamics
(Journal of Fluids Engineering, 20170602)This paper deals with rotating effects simulation of steady flows in turbomachinery. To take into account the rotating nature of the flow, the frozen rotor approach is one of the widely used approaches. This technique, ... 
Necking in 2D incompressible polyconvex materials: theoretical framework and numerical simulations
(Quarterly Journal of Mechanics and Applied Mathematics, 20170615)We show examples of 2D incompressible isotropic homogeneous hyperelastic materials with a polyconvex storedenergy function that present necking. The construction of the storedenergy function of amaterial satisfying all ... 
Fusionbased variational image dehazing
(IEEE Signal Processing Letters, 20170201)We propose a novel imagedehazing technique based on the minimization of two energy functionals and a fusion scheme to combine the output of both optimizations. The proposed fusionbased variational imagedehazing (FVID) ... 
Gaussian quadrature rules for $C^1$ quintic splines with uniform knot vectors
(Journal of Computational and Applied Mathematics, 20170322)We provide explicit quadrature rules for spaces of $C^1$ quintic splines with uniform knot sequences over finite domains. The quadrature nodes and weights are derived via an explicit recursion that avoids numerical solvers. ... 
Towards optimal advection using stretchmaximizing stream surfaces
(Computer Aided Geometric Design, 20170301)We investigate a class of stream surfaces that expand in time as much as possible. Given a vector field, we look for seed curves that locally propagate in time in a stretchmaximizing manner, i.e., curves that infinitesimally ... 
Sensitivity study of boreholetosurface and crosswell electromagnetic measurements acquired with energized steel casing to water displacement in hydrocarbonbearing layers
(Geophysics, 20081231)We study the theoretical response of electromagnetically energized steel casing in the presence of subsurface variations of electrical resistivity. Casing is energized with a finitesize solenoid antenna located along the ... 
Energynormbased and goaloriented automatic hp adaptivity for electromagnetics: Application to waveguide Discontinuities
(IEEE Transactions on Microwave Theory and Techniques, 20081231)The finiteelement method (FEM) enables the use of adapted meshes. The simultaneous combination of h (local variations in element size) and p (local variations in the polynomial order of approximation) refinements, i.e., ... 
Rigorous numerics in floquet theory: Computing stable and unstable bundles of periodic orbits
(SIAM Journal on Applied Dynamical Systems, 20131231)In this paper, a rigorous method to compute Floquet normal forms of fundamental matrix solutions of nonautonomous linear differential equations with periodic coefficients is introduced. The Floquet normal form of a fundamental ... 
Discrete nonnegativity for nonlinear cooperative parabolic PDE systems with nonmonotone coupling
(Mathematics and Computers in Simulation, 20131231)Discrete nonnegativity principles are established for finite element approximations of nonlinear parabolic PDE systems with mixed boundary conditions. Previous results of the authors are extended such that diagonal dominance ...