The relations between solutions of the three types of totally linear partial differential equations of first order are presented. The approach is based on factorization of a non-homogeneous first order differential operator to products consisting of a scalar function, a homogeneous first order differential operator and the reciprocal of the scalar function. The factorization procedure is utiliz...

Non-rigid registration requires a smoothness or regularization term for making the warp field regular. Standard models in use here include b-splines and thin plate splines. In this paper, we suggest a regularizer which is based on first principles, is symmetric with respect to source and destination, and fulfills a natural semi-group property for warps. We construct the regularizer from a distr...

We derive the Euler-Lagrange equation corresponding to 'non-Euclidean' convex constrained von Kármán theories.

In the present work, the motion of metallic and plastic particles of 5 mm diameter falling in a quiescent fluid is investigated experimentally. The goal of this investigation is to examine the effect of history force acting on a particle in a range of Reynolds numbers between 1000 and 5000. The instantaneous position of the particle was recorded using a high - speed camera (500 to 1000 frames p...

We consider an unfitted Eulerian time-stepping scheme for a coupled parabolic model problem on moving domain. In this model, the domain motion results from ordinary differential equation to bulk via forces acting interface. extend our initial work (von Wahl & Richter, 2022) allow equal-order finite element discretisations partial and Lagrange multiplier spaces. Together with BFD2 scheme, lowest...