%0 Journal Article %J SOFTWAREX %D 2018 %T deal2lkit: A toolkit library for high performance programming in deal.II %A Alberto Sartori %A Nicola Giuliani %A Mauro Bardelloni %A Luca Heltai %B SOFTWAREX %V 7 %P 318–327 %G eng %R 10.1016/j.softx.2018.09.004 %0 Journal Article %J COMPUTERS & MATHEMATICS WITH APPLICATIONS %D 2016 %T LinearOperator – a generic, high-level expression syntax for linear algebra %A Matthias Maier %A Mauro Bardelloni %A Luca Heltai %B COMPUTERS & MATHEMATICS WITH APPLICATIONS %V 72 %P 1–24 %G eng %R 10.1016/j.camwa.2016.04.024 %0 Journal Article %D 2015 %T Deal2lkit: a Toolkit Library for High Performance Programming in deal.II %A Alberto Sartori %A Nicola Giuliani %A Mauro Bardelloni %A Luca Heltai %X 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. %I SISSA %G en %U http://urania.sissa.it/xmlui/handle/1963/35006 %1 35235 %2 Mathematics %4 1 %# MAT/08 %$ Submitted by asartori@sissa.it (asartori@sissa.it) on 2015-11-13T13:12:29Z No. of bitstreams: 1 paper_deal2lkit.pdf: 1085486 bytes, checksum: 1dc7e9b9790fe38d2ced7b5328633cd8 (MD5) %0 Thesis %D 2014 %T The decomposition of optimal transportation problems with convex cost %A Mauro Bardelloni %K Optimal Transportation %I SISSA %G en %U http://urania.sissa.it/xmlui/handle/1963/7475 %1 7570 %2 Mathematics %4 1 %# MAT/05 %$ Submitted by Mauro Bardelloni (mbarde@sissa.it) on 2014-10-27T10:15:30Z No. of bitstreams: 1 Bardelloni-thesis.pdf: 1162347 bytes, checksum: f2b57d7f3054afe4fae1c207b090121f (MD5) %0 Report %D 2014 %T The decomposition of optimal transportation problems with convex cost %A Stefano Bianchini %A Mauro Bardelloni %I SISSA %G en_US %U http://hdl.handle.net/1963/7433 %1 7527 %$ Submitted by Maria Pia Calandra (calapia@sissa.it) on 2014-09-22T14:16:35Z No. of bitstreams: 1 sissa _45_2014_MATE.pdf: 893572 bytes, checksum: c4334710f599da624c2e1cfb56aac415 (MD5) %0 Journal Article %J Communications in Mathematical Physics 322, nr.2 (2013): 415-452 %D 2013 %T An improved geometric inequality via vanishing moments, with applications to singular Liouville equations %A Mauro Bardelloni %A Andrea Malchiodi %B Communications in Mathematical Physics 322, nr.2 (2013): 415-452 %I SISSA %G en %U http://hdl.handle.net/1963/6561 %1 6486 %2 Mathematics %4 1 %# MAT/05 ANALISI MATEMATICA %$ Submitted by Andrea Malchiodi (malchiod@sissa.it) on 2013-03-14T10:23:46Z No. of bitstreams: 2 1206.0225v2.pdf: 376591 bytes, checksum: 84aab361b9f74c6f00164ed271fe2cfd (MD5) 1206.0225v2.pdf: 376591 bytes, checksum: 84aab361b9f74c6f00164ed271fe2cfd (MD5) %R 10.1007/s00220-013-1731-0 %0 Journal Article %J Int Math Res Notices (2011) 2011 (24): 5625-5643 %D 2011 %T Supercritical conformal metrics on surfaces with conical singularities %A Mauro Bardelloni %A Francesca De Marchis %A Andrea Malchiodi %X

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.

%B Int Math Res Notices (2011) 2011 (24): 5625-5643 %I Oxford University Press %G en_US %U http://hdl.handle.net/1963/4095 %1 309 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2010-10-26T07:12:29Z\\r\\nNo. of bitstreams: 1\\r\\nBarDemMal-56M.pdf: 317906 bytes, checksum: 6b2dc3222c15d6690b75440300fa4aed (MD5) %R 10.1093/imrn/rnq285