51 citations · 292 across the 42 of their papers we have counts for
49 papers
Finite Volume Convergence for a Heat Equation with a Measure-Valued Source
Matthias Gobbert, Martin Kruž\'ık, Andreas Meister +1
Past work with Tom Seidman analyzed the spatial convergence order of the numerical finite element method applied to time-dependent diffusion-reaction equations with a measure-value…
Linearization in magnetoelasticity
Stefano Almi, Martin Kružík, Anastasia Molchanova
Starting from a model of nonlinear magnetoelasticity where magnetization is defined in the Eulerian configuration while elastic deformation is in the Lagrangean one, we rigorously…
Curvature-dependent Eulerian interfaces in elastic solids
Katharina Brazda, Martin Kružík, Fabian Rupp +1
We propose a sharp-interface model for a hyperelastic material consisting of two phases. In this model, phase interfaces are treated in the deformed configuration, resulting in a f…
Occupation measure relaxations in variational problems: the role of convexity
Didier Henrion, Milan Korda, Martin Kružík +1
This work addresses the occupation measure relaxation of calculus of variations problems, which is an infinite-dimensional linear programming relaxation amenable to numerical appro…
Finite-strain Poynting-Thomson model: existence and linearization
A. Chiesa, M. Kružík, U. Stefanelli
We analyze the finite-strain Poynting-Thomson viscoelastic model. In its linearized small-deformation limit, this corresponds to the serial connection of an elastic spring and a Ke…
Asymptotic analysis of single-slip crystal plasticity in the limit of vanishing thickness and rigid elasticity
Dominik Engl, Stefan Krömer, Martin Kružík
We perform via -convergence a 2d-1d dimension reduction analysis of a single-slip elastoplastic body in large deformations. Rigid plastic and elastoplastic regimes are considere…