2 citations · 3 across the 3 of their papers we have counts for
6 papers
Simulating Organogenesis in COMSOL: Tissue Mechanics
M. D. Peters, D. Iber
During growth, tissue expands and deforms. Given its elastic properties, stresses emerge in an expanding and deforming tissue. Cell rearrangements can dissipate these stresses and…
Simulating Organogenesis in COMSOL: Comparison Of Methods For Simulating Branching Morphogenesis
Lucas D. Wittwer, Michael Peters, Sebastian Aland +1
During organogenesis tissue grows and deforms. The growth processes are controlled by diffusible proteins, so-called morphogens. Many different patterning mechanisms have been prop…
Uncertainty Quantification for PDEs with Anisotropic Random Diffusion
Helmut Harbrecht, Michael Peters, Marc Schmidlin
In this article, we consider elliptic diffusion problems with an anisotropic random diffusion coefficient. We model the notable direction in terms of a random vector field and deri…
Multilevel tensor approximation of PDEs with random data
Jonas Ballani, Daniel Kressner, Michael Peters
In this paper, we introduce and analyze a new low-rank multilevel strategy for the solution of random diffusion problems. Using a standard stochastic collocation scheme, we first a…
-matrix based second moment analysis for rough random fields and finite element discretizations
Jürgen Dölz, Helmut Harbrecht, Michael D. Peters
We consider the efficient solution of strongly elliptic partial differential equations with random load based on the finite element method. The solution's two-point correlation can…
Novel results for the anisotropic sparse grid quadrature
Abdul-Lateef Haji-Ali, Helmut Harbrecht, Michael Peters +1
This article is dedicated to the anisotropic sparse grid quadrature for functions which are analytically extendable into an anisotropic tensor product domain. Taking into account t…