TY - JOUR T1 - deal2lkit: A toolkit library for high performance programming in deal.II JF - SOFTWAREX Y1 - 2018 A1 - Alberto Sartori A1 - Nicola Giuliani A1 - Mauro Bardelloni A1 - Luca Heltai VL - 7 ER - TY - JOUR T1 - LinearOperator – a generic, high-level expression syntax for linear algebra JF - COMPUTERS & MATHEMATICS WITH APPLICATIONS Y1 - 2016 A1 - Matthias Maier A1 - Mauro Bardelloni A1 - Luca Heltai VL - 72 ER - TY - JOUR T1 - Deal2lkit: a Toolkit Library for High Performance Programming in deal.II Y1 - 2015 A1 - Alberto Sartori A1 - Nicola Giuliani A1 - Mauro Bardelloni A1 - Luca Heltai AB - We present version 1.0.0 of the deal2lkit (deal.II ToolKit) library. deal2lkit is a collection of modules and classes for the general purpose finite element library deal.II. Its principal aim is to provide a high level interface, controlled via parameter files, for those steps that are common in all finite element programs: mesh generation, selection of the finite element type, application of boundary conditions and many others. Each module can be used as a building block independently on the others, and can be integrated in existing finite element codes based on deal.II, drastically reducing the size of programs, rendering their use automatically parametrised, and reducing the overall time-to-market of finite element programming. Moreover, deal2lkit features interfaces with the SUNDIALS (SUite of Nonlinear and DIfferential/ALgebraic equation Solvers) and ASSIMP (Open Asset Import Library) libraries. Some examples are provided which show the aim and scopes of deal2lkit. The deal2lkit library is released under the GNU Lesser General Public License (LGPL) and can be retrieved from the deal2lkit repository https://github.com/mathLab/deal2lkit. PB - SISSA UR - http://urania.sissa.it/xmlui/handle/1963/35006 U1 - 35235 U2 - Mathematics U4 - 1 U5 - MAT/08 ER - TY - THES T1 - The decomposition of optimal transportation problems with convex cost Y1 - 2014 A1 - Mauro Bardelloni KW - Optimal Transportation PB - SISSA UR - http://urania.sissa.it/xmlui/handle/1963/7475 U1 - 7570 U2 - Mathematics U4 - 1 U5 - MAT/05 ER - TY - RPRT T1 - The decomposition of optimal transportation problems with convex cost Y1 - 2014 A1 - Stefano Bianchini A1 - Mauro Bardelloni PB - SISSA UR - http://hdl.handle.net/1963/7433 U1 - 7527 ER - TY - JOUR T1 - An improved geometric inequality via vanishing moments, with applications to singular Liouville equations JF - Communications in Mathematical Physics 322, nr.2 (2013): 415-452 Y1 - 2013 A1 - Mauro Bardelloni A1 - Andrea Malchiodi PB - SISSA UR - http://hdl.handle.net/1963/6561 U1 - 6486 U2 - Mathematics U4 - 1 U5 - MAT/05 ANALISI MATEMATICA ER - TY - JOUR T1 - Supercritical conformal metrics on surfaces with conical singularities JF - Int Math Res Notices (2011) 2011 (24): 5625-5643 Y1 - 2011 A1 - Mauro Bardelloni A1 - Francesca De Marchis A1 - Andrea Malchiodi AB -

We study the problem of prescribing the Gaussian curvature on surfaces with conical singularities in supercritical regimes. Using a Morse-theoretical approach we prove a general existence theorem on surfaces with positive genus, with a generic multiplicity result.

PB - Oxford University Press UR - http://hdl.handle.net/1963/4095 U1 - 309 U2 - Mathematics U3 - Functional Analysis and Applications ER -