4 citations · 7 across the 8 of their papers we have counts for
13 papers
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…
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…
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…
A new perspective on hierarchical spline spaces for adaptivity
Marcelo Actis, Pedro Morin, M. Sebastán Pauletti
We introduce a framework for spline spaces of hierarchical type, based on a parent-children relation, which is very convenient for the analysis as well as the implementation of ada…
The shape derivative of the Gauss curvature
Aníbal Chicco-Ruiz, Pedro Morin, M. Sebastian Pauletti
We introduce new results about the shape derivatives of scalar- and vector-valued functions, extending the results from (Dogan-Nochetto 2012) to more general surface energies. They…
High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates
Andrea Bonito, J. Manuel Cascón, Pedro Morin +2
We present a new AFEM for the Laplace-Beltrami operator with arbitrary polynomial degree on parametric surfaces, which are globally and piecewise in a suitable Besov c…