3 papers
math.NA2021
Approximation classes for adaptive time-stepping finite element methods
Marcelo Actis, Pedro Morin, Cornelia Schneider
We study approximation classes for adaptive time-stepping finite element methods for time-dependent Partial Differential Equations (PDE). We measure the approximation error in $L_2…
math.NA2019
Convective transport in nanofluids: regularity of solutions and error estimates for finite element approximations
Eberhard Bänsch, Pedro Morin
We study the stationary version of a thermodynamically consistent variant of the Buongiorno model describing convective transport in nanofluids. Under some smallness assumptions it…
math.NA2019
Convective transport in nanofluids: the stationary problem
Eberhard Bänsch, Sara Faghih-Naini, Pedro Morin
We analyze the existence of solutions to the stationary problem from a mathematical model for convective transport in nanofluids including thermophoretic effects that is very simil…