### Recent Submissions

• #### Embeddability of Kimura 3ST Markov matrices ﻿

(2018-05-14)
Article
Open Access
In this note, we characterize the embeddability of generic Kimura 3ST Markov matrices in terms of their eigenvalues. As a consequence, we are able to compute the volume of such matrices relative to the volume of all Markov ...
• #### Local bisection for conformal refinement of unstructured 4D simplicial meshes ﻿

(Springer, 2018)
Conference report
Open Access
We present a conformal bisection procedure for local refinement of 4D unstructured simplicial meshes with bounded minimum shape quality. Specifically, we propose a recursive refine to conformity procedure in two stages, ...
• #### Defining a stretching and alignment aware quality measure for linear and curved 2D meshes ﻿

(Springer, 2018)
Conference report
Open Access
We define a regularized shape distortion (quality) measure for curved high-order 2D elements on a Riemannian plane. To this end, we measure the deviation of a given 2D element, straight-sided or curved, from the stretching ...
• #### Universality of Euler flows and flexibility of Reeb embeddings ﻿

(2019-11-05)
External research report
Open Access
The dynamics of an inviscid and incompressible fluid flow on a Riemannian manifold is governed by the Euler equations. Recently, Tao launched a programme to address the global existence problem for the Euler and Navier ...
• #### The uncoupling limit of identical Hopf bifurcations with an application to perceptual bistability ﻿

(2019-12-01)
Article
Open Access
We study the dynamics arising when two identical oscillators are coupled near a Hopfbifurcation where we assume a parameter uncouples the system at = 0. Using anormal form forN= 2 identical systems undergoing Hopf bifurcation, ...
• #### Some properties for bisemivalues on bicooperative games ﻿

(2020-02-29)
Article
Restricted access - publisher's policy
In this work, we focus on bicooperative games, a variation of the classic cooperative games, and investigate the conditions for the coefficients of the bisemivalues—a generalization of semivalues for cooperative games—necessary ...
• #### Fixed subgroups and computation of auto-fixed closures in free-abelian times free groups ﻿

(2020-04-01)
Article
Open Access
The classical result by Dyer–Scott about fixed subgroups of finite order automor-phisms of Fnbeing free factors of Fn is no longer true inZm×Fn. Within this more generalcontext, we prove a relaxed version in the spirit of ...
• #### Vibration-based detection and classification of structural changes using principal component analysis and t-distributed stochastic neighbor embedding ﻿

(Wiley, 2020-03-05)
Article
Open Access
This paper describes a structural health monitoring strategy to detect and classify structural changes in structures that can be equipped with sensors. The proposed approach is based on the t-distributed stochastic neighbor ...
• #### Sufficient conditions for a digraph to admit a (1,=l)-identifying code ﻿

(2019)
Article
Open Access
A (1, = )-identifying code in a digraph D is a subset C of vertices of D such that all distinct subsets of vertices of cardinality at most  have distinct closed in-neighbourhoods within C. In this paper, we give some ...
• #### An immersed boundary hierarchical B-spline method for flexoelectricity ﻿

(2019-09-01)
Article
Restricted access - publisher's policy
This paper develops a computational framework with unfitted meshes to solve linear piezoelectricity and flexoelectricity electromechanical boundary value problems including strain gradient elasticity at infinitesimal ...
• #### Adaptive refinement for phase-field models of brittle fracture based on Nitsche's method ﻿

(Springer, 2020-03-18)
Article
Restricted access - publisher's policy
A new adaptive refinement strategy for phase-field models of brittle fracture is proposed. The approach provides a computationally efficient solution to the high demand in spatial resolution of phase-field models. The ...
• #### Monomial generators of complete planar ideals ﻿

(2020-01-01)
Article
Restricted access - publisher's policy
We provide an algorithm that computes a set of generators for any complete ideal in a smooth complex surface. More interestingly, these generators admit a presentation as monomials in a set of maximal contact elements ...