6 papers
Fast and Accurate Uncertainty Quantification for the ECG with Random Electrodes Location
Michael Multerer, Simone Pezzuto
The standard electrocardiogram (ECG) is a point-wise evaluation of the body potential at certain given locations. These locations are subject to uncertainty and may vary from patie…
Isogeometric multilevel quadrature for forward and inverse random acoustic scattering
Jürgen Dölz, Helmut Harbrecht, Carlos Jerez-Hanckes +1
We study the numerical solution of forward and inverse acoustic scattering problems by randomly shaped obstacles in three-dimensional space using a fast isogeometric boundary eleme…
A fast direct solver for nonlocal operators in wavelet coordinates
Helmut Harbrecht, Michael Multerer
In this article, we consider fast direct solvers for nonlocal operators. The pivotal idea is to combine a wavelet representation of the system matrix, yielding a quasi-sparse matri…
Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation
J. Dölz, H. Harbrecht, S. Kurz +3
In this article, we present Bembel, the C++ library featuring higher order isogeometric Galerkin boundary element methods for Laplace, Helmholtz, and Maxwell problems. Bembel is co…
Global optimization using Gaussian Processes to estimate biological parameters from image data
Diana Barac, Michael D. Multerer, Dagmar Iber
Parameter estimation is a major challenge in computational modeling of biological processes. This is especially the case in image-based modeling where the inherently quantitative o…
Simulation of morphogen and tissue dynamics
M. D. Peters, L. D. Wittwer, A. Stopka +3
Morphogenesis, the process by which an adult organism emerges from a single cell, has fascinated humans for a long time. Modelling this process can provide novel insights into deve…