output
20082026
most citedAdaptive BDDC in Three Dimensions

75 citations

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9 papers · 1 filter

math.AP2021★ 11 cited

Quasistatic hypoplasticity at large strains Eulerian

Tomáš Roubíček

The isothermal quasistatic (i.e.\ acceleration neglected) hardening-free plasticity at large strains is considered, based on the standard multiplicative decomposition of the total…

math.AP2021★ 6 cited

A convective model for poro-elastodynamics with damage and fluid flow towards Earth lithosphere modelling

Tomáš Roubíček, Giuseppe Tomassetti

Devised towards geophysical applications for various processes in the lithosphere or the crust, a model of poro-elastodynamics with inelastic strains and other internal variables l…

math.AP2021★ 7 cited

A thermodynamical model for paleomagnetism in Earth's crust

Tomáš Roubíček

A thermodynamically consistent model for soft deformable viscoelastic magnets is formulated in actual space (Eulerian) coordinates. The possibility of a ferro-paramagnetic-type (or…

math.AP2021★ 1 cited

Visco-elastodynamics at large strains Eulerian

Tomáš Roubíček

Isothermal visco-elastodynamics in the Kelvin-Voigt rheology is formulated in the spatial Eulerian coordinates in terms of velocity and deformation gradient. A generally nonconvex…

math.AP2020★ 4 cited

The Stefan problem in a thermomechanical context with fracture and fluid flow

Tomáš Roubíček

The classical Stefan problem, concerning mere heat-transfer during solid-liquid phase transition, is here enhanced towards mechanical effects. The Eulerian description at large dis…

math.AP2019★ 49 cited

Thermoviscoelasticity in Kelvin-Voigt rheology at large strains

Alexander Mielke, Tomáš Roubíček

The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large strain is formulated in the reference configuration with using the concept of the second-…

math.AP2017★ 4 cited

Seismic waves and earthquakes in a global monolithic model

Tomáš Roubíček

The philosophy that a single "monolithic" model can "asymptotically" replace and couple in a simple elegant way several specialized models relevant on various Earth layers is prese…

math.AP2012★ 5 cited

Thermodynamically-consistent mesoscopic model of the ferro/paramagnetic transition

Barbora Benešová, Martin Kružík, Tomáš Roubíček

A continuum evolutionary model for micromagnetics is presented that, beside the standard magnetic balance laws, includes thermo-magnetic coupling. To allow conceptually efficient c…

math.AP2011

An analysis of non-classical austenite-martensite interfaces in CuAlNi

J. M. Ball, K. Koumatos, H. Seiner

Ball and Carstensen theoretically investigated the possibility of the occurrence of non-classical austenite-martensite interfaces and studied the cubic-to-tetragonal case extensive…