3 papers
math.AP2026
The Stefan problem for complete melting of finitely strained solids into viscoelastic fluids
Tomáš RoubÃÄek
The compressible fluid-solid interaction (FSI) with a thermomechanical phase transition is formulated at large strains within the Eulerian frame. For the deviatoric part, the Jeffr…
math.NA2026
Staggered time discretization in finitely-strained heterogeneous visco-elastodynamics with damage or diffusion in the Eulerian frame
Tomáš RoubÃÄek
The semi-implicit (partly decoupled, also called staggered or fraction-step) time discretization is applied to compressible nonlinear dynamical models of viscoelastic solids in the…
math.NA2025
Time discretization in convected linearized thermo-visco-elastodynamics at large displacements
Tomáš RoubÃÄek
The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of thermo-viscoelastic solids in the Eulerian descrip…