7 citations · 7 across the 2 of their papers we have counts for
8 papers
Optimal control of flows of viscoelastic semi-compressible fluids
Tomáš Roubíček
Semilinear parabolic systems with bi-linear nonlinearities cover a lot of applications and their optimal control leads to relatively simple optimality conditions. An example is the…
Thermodynamically consistent model for poroelastic rocks towards tectonic and volcanic processes and earthquakes
Tomáš Roubíček
A general-purpose model combining concepts from rational continuum mechanics, fracture and damage mechanics, plasticity, and poromechanics is devised in Eulerian coordinates, invol…
Fine metrizable convex relaxations of parabolic optimal control problems
Tomáš Roubíček
Nonconvex optimal-control problems governed by evolution problems in infinite-dimensional spaces (as e.g. parabolic boundary-value problems) needs a continuous (and possibly also s…
Coupled time discretisation of dynamic damage models at small strains
Tomáš Roubíček
The dynamic damage model in viscoelastic materials in Kelvin-Voigt rheology is discretised by a scheme which is coupled, suppresses spurious numerical attenuation during vibrations…
From quasi-incompressible to semi-compressible fluids
Tomáš Roubíček
A new concept of semi-compressible fluids is introduced for slightly compressible visco-elastic fluids (typically rather liquids than gasses) where mass density variations are negl…
A monolithic model for phase-field fracture and waves in solid-fluid media towards earthquakes
Tomáš Roubíček, Roman Vodička
Coupling of rupture processes in solids with waves also propagating in fluids is a prominent phenomenon arising during tectonic earthquakes. It is executed here in a single `monoli…