Publicaties
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Numerical Methods to Compute Stresses and Displacements from Cellular Forces: Application to the Contraction of Tissue Universiteit Hasselt
We consider a mathematical model for wound contraction, which is based on solving a momentum balance under the assumptions of isotropy, homogeneity, Hooke's Law, in-finitesimal strain theory and point forces exerted by cells. However, point forces, described by Dirac Delta distributions lead to a singular solution, which in many cases may cause trouble to finite element methods due to a low degree of regularity. Hence, we consider several ...
Conformal Wasserstein Distance: II. Computational Aspects and Extensions Vrije Universiteit Brussel
This paper is a companion paper to [Lipman and Daubechies 2011]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disk type surfaces. We provide a convergence analysis of the discrete approximation to the arising mass-transportation problems. We furthermore generalize the framework to support sphere-type surfaces, and prove a result connecting this distance to local geodesic distortion. ...
Numerical solution of bivariate and polyanalytic polynomial systems KU Leuven
© 2014 Society for Industrial and Applied Mathematics. Finding the real solutions of a bivariate polynomial system is a central problem in robotics, computer modeling and graphics, computational geometry, and numerical optimization. We propose an efficient and numerically robust algorithm for solving bivariate and polyanalytic polynomial systems using a single generalized eigenvalue decomposition. In contrast to existing eigen-based solvers, the ...
Which skills predict computational estimation? A longitudinal study in 5- to 7-year-olds KU Leuven
Computational estimation is seen as an important mathematical competence. Little is known, however, about the mathematical skills that are predictive of early computational estimation development. The current study longitudinally followed a group of about 350 children at four time points: second (K2, 4-year-olds) and third grades of kindergarten (K3, 5-year-olds) and first (P1, 6-year-olds) and second (P2, 7-year-olds) grades of primary school. ...
Computational aspects of simulating wind induced ovalling vibrations in silo groups KU Leuven Universiteit Gent
© 2012 Elsevier B.V. All rights reserved. During a storm in October 2002, wind induced ovalling vibrations were observed on several empty silos of a closely spaced group of eight by five thin-walled silos in the port of Antwerp (Belgium). To determine realistic dynamic wind loads and hence clarify the cause of the wind induced ovalling vibrations in the silo group, 2D URANS simulations are performed for seven angles of incidence between 0° and ...
Numerical evaluation of 2D partition of unity boundary integrals for Helmholtz problems KU Leuven
There has been considerable attention given in recent years to the problem of extending finite and boundary element-based analysis of Helmholtz problems to higher frequencies. One approach is the Partition of Unity Method, which has been applied successfully to boundary integral solutions of Helmholtz problems, providing significant accuracy benefits while simultaneously reducing the required number of degrees of freedom for a given accuracy. ...
Accuracy analysis of acceleration schemes for stiff multiscale problems KU Leuven
In the context of multiscale computations, techniques have recently been developed that enable microscopic simulators to perform macroscopic level tasks (equation-free multiscale computations). The main tool is the so-called coarse-grained time-stepper, which implements an approximation of the unavailable macroscopic time-stepper using only the microscopic simulator. Several schemes were developed to accelerate the coarse-grained time-stepper, ...
Spline-based boundaries: a first step towards generic geometric domain descriptions for efficient mid-frequency acoustic analysis using the Wave Based Method KU Leuven
The application of numerical simulation techniques for the analysis and optimization of the acoustic behavior of all kinds of products has become very important in almost every phase of a design process. The large computational burden associated with the Finite Element Method (FEM) limits its applicability to low-frequency problems. Recently, the Wave Based Method (WBM) was proposed as an efficient alternative to the element based methods. This ...
Asymptotic error analysis of an IMEX Runge–Kutta method Universiteit Hasselt
We consider a system of singularly perturbed differential equations with singular parameter ε << 1, discretized with an IMEX Runge-Kutta method. The splitting needed for the IMEX method stems from a linearization of the fluxes around the limit solution. We analyze the asymptotic convergence order as ε → 0. We show that in this setting, the stage order of the implicit part of the scheme is of great importance, thereby explaining earlier ...