BIRD, BCAM's Institutional Repository Data: Recent submissions
Now showing items 1-20 of 680
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Asymptotic behaviour for fractional diffusion-convection equations
(2017-10)We consider a convection-diffusion model with linear fractional diffusion in the sub-critical range. We prove that the large time asymptotic behavior of the solution is given by the unique entropy solution of the convective ... -
Existence of weak solutions for a general porous medium equation with nonlocal pressure
(submitted, 2017-10)We study the general nonlinear diffusion equation $u_t=\nabla\cdot (u^{m-1}\nabla (-\Delta)^{-s}u)$ that describes a flow through a porous medium which is driven by a nonlocal pressure. We consider constant parameters ... -
A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries
(2017-10-04)Classical models of electrophysiology do not typically account for the effects of high structural heterogeneity in the spatio-temporal description of excitation waves propagation. We consider a modification of the Monodomain ... -
Three-dimensional coarsening dynamics of a conserved, nematic liquid crystal-isotropic fluid mixture
(Journal of Non-Newtonian Fluid Mechanics, 2017-09)We present a numerical investigation of the three-dimensional coarsening dynamics of a nematic liquid crystal-isotropic fluid mixture using a conserved phase field model. The model is a coupled system for a generalized ... -
The Experiment Data Depot: A Web-Based Software Tool for Biological Experimental Data Storage, Sharing, and Visualization
(ACS Synthetic Biology, 2017-09-30)Although recent advances in synthetic biology allow us to produce biological designs more efficiently than ever, our ability to predict the end result of these designs is still nascent. Predictive models require large ... -
Goal-Oriented Adaptivity using Unconventional Error Representations
(2017-09)In Goal-Oriented 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 ... -
Time-resolved Adaptive Direct FEM Simulation of High-lift Aircraft Configurations
(Numerical simulation of the aerodynamics of high-lift configurations, 2017-08-01)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 ... -
Dispersion-minimizing quadrature rules for $C^1$ quadratic isogeometric analysis
(Computer Methods in Applied Mechanics and Engineering, 2017-09-20)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 ... -
Goal-Oriented p-Adaptivity using Unconventional Error Representations for a 1D Steady State Convection-Diffusion Problem
(Procedia Computer Science, 2017)This work proposes the use of an alternative error representation for Goal-Oriented Adaptivity (GOA) in context of steady state convection dominated diffusion problems. It introduces an arbitrary operator for the computation ... -
SPECTRAL ASYMPTOTICS FOR $\delta$-INTERACTIONS ON SHARP CONES
(Journal of Mathematical Analysis and Applications, 2017)We investigate the spectrum of three-dimensional Schr\"odinger operators with $\delta$-interactions of constant strength supported on circular cones. As shown in earlier works, such operators have infinitely many eigenvalues ... -
An efficient evolutionary algorithm for the orienteering problem
(Computers and Operations Research, 2017-09-06)This paper deals with the Orienteering Problem, which is a routing problem. In the Orienteering Problem, each node has a profit assigned and the goal is to find the route that maximizes the total collected profit subject ... -
ICCS 2017 Workshop on Agent-Based 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 ... -
Weighted mixed weak-type inequalities for multilinear operators
(Studia Mathematica, 2017)In this paper we present a theorem that generalizes Sawyer's classic result about mixed weighted inequalities to the multilinear context. Let $\vec{w}=(w_1,...,w_m)$ and $\nu = w_1^\frac{1}{m}...w_m^\frac{1}{m}$, the main ... -
The Weighted Independent Domination Problem: ILP Model and Algorithmic Approaches
(European Journal of Operational Research, 2017-08-30)This work deals with the so-called weighted independent domination problem, which is an $NP$-hard combinatorial optimization problem in graphs. In contrast to previous work, this paper considers the problem from a ... -
A numerical study on the hydrodynamic impact of device slenderness and array size in wave energy farms in realistic wave climates
(Ocean Engineering, 2017-07-10)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. ... -
Mixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansions
(Transactions of the American Mathematical Society, 2017)Our main goal in this article is to study mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions on $\mathbb{R}^d$. These expansions arise when one considers the Dunkl--Hermite operator ... -
Layout Optimisation of Wave Energy Converter Arrays
(Energies, 2017-08-24)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 q-factor, the minimum distance between ... -
Dispersive effects of weakly compressible and fast rotating inviscid fluids
(Discrete and Continuous Dynamical Systems - Series A, 2017-08)We consider a system describing the motion of an isentropic, inviscid, weakly compressible, fast rotating fluid in the whole space $\mathbb{R}^3$, with initial data belonging to $ H^s \left( \mathbb{R}^3 \right), s>5/2 $. ... -
On pointwise and weighted estimates for commutators of Calderón-Zygmund operators
(Advances in Mathematics, 2017)In recent years, it has been well understood that a Calderón-Zygmund operator T is pointwise controlled by a finite number of dyadic operators of a very simple structure (called the sparse operators). We obtain a similar ... -
Optimally refined isogeometric analysis
(Procedia Computer Science, 2017-06)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 ...