5 papers
Numerical analysis of an evolving bulk--surface model of tumour growth
Dominik Edelmann, Balázs Kovács, Christian Lubich
This paper studies an evolving bulk--surface finite element method for a model of tissue growth, which is a modification of the model of Eyles, King and Styles (2019). The model co…
Finite element analysis for a diffusion equation on a harmonically evolving domain
Dominik Edelmann
We study convergence of the evolving finite element semi-discretization of a parabolic partial differential equation on an evolving bulk domain. The boundary of the domain evolves…
Isoparametric finite element analysis of a generalized Robin boundary value problem on curved domains
Dominik Edelmann
We study the discretization of an elliptic partial differential equation, posed on a two- or three-dimensional domain with smooth boundary, endowed with a generalized Robin boundar…
Measuring the stability of spectral clustering
Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi +1
As an indicator of the stability of spectral clustering of an undirected weighted graph into clusters, the th spectral gap of the graph Laplacian is often considered. The $k…
Graph partitioning using matrix differential equations
Eleonora Andreotti, Dominik Edelmann, Nicola Guglielmi +1
Given a connected undirected weighted graph, we are concerned with problems related to partitioning the graph. First of all we look for the closest disconnected graph (the minimum…