Massimiliano Martinelli


2022, Journal article
Weighted quadrature for hierarchical B-splines
C. Giannelli, T. Kanduc, M. Martinelli, G. Sangalli and M. Tani
We present weighted quadrature for hierarchical B-splines to address the fast formation of system matrices arising from adaptive isogeometric Galerkin methods with suitably graded hierarchical meshes....

CNR@People | DOI: 10.1016/j.cma.2022.115465
2020, Journal article
Parametric shape optimization for combined additive-subtractive manufacturing
L. Tamellini, M.Chiumenti, C. Altenhofen, M. Attene, O. Barrowclough, M. Livesu, F. Marini, M. Martinelli, and V. Skytt V.
In industrial practice, additive manufacturing (AM) processes are often followed by post-processing operations such as heat treatment, subtractive machining, milling, etc., to achieve the desired surf...

CNR@People | DOI: 10.1007/s11837-019-03886-x
2019, Journal article
Isogeometric analysis on V-reps: First results
P. Antolin, A. Buffa, and M. Martinelli
Inspired by the introduction of Volumetric Modeling via volumetric representations (V-reps) by Massarwi and Elber in 2016, in this paper we present a novel approach for the construction of isogeometri...

CNR@People | DOI: 10.1016/j.cma.2019.07.015
2015, Journal article
Efficient matrix computation for tensor-product isogeometric analysis: The use of sum factorization
P. Antolin, A. Buffa, F. Calabro', M. Martinelli, and G. Sangalli
In this paper we discuss the use of the sum-factorization for the calculation of the integrals arising in Galerkin isogeometric analysis. While introducing very little change in an isogeometric code b...

CNR@People | DOI: 10.1016/j.cma.2014.12.013
2015, Journal article
Igatools: An isogeometric analysis library
M.S. Pauletti, M. Martinelli, N. Cavallini, and P. Antolín
We present the design of an object oriented general purpose library for isogeometric analysis, where the mathematical concepts of the isogeometric method and their relationships are directly mapped in...

CNR@People | DOI: 10.1137/140955252
2012, Journal article
An isogeometric method for the Reissner-Mindlin plate bending problem
L. Beirao da Veiga, A. Buffa, C. Lovadina, M. Martinelli, and G. Sangalli
We present a new isogeometric method for the discretization of the Reissner-Mindlin plate bending problem. The proposed scheme follows a recent theoretical framework that makes possible the constructi...

CNR@People | DOI: 10.1016/j.cma.2011.10.009
2015, Conference proceedings
Effective integration of sophisticated operators in isogeometric analysis with igatools
N. Cavallini, O. Weeger, M.S. Pauletti, M. Martinelli, and P. Antolin
igatools is a newly released library for operators assembly in isogeometric analysis. The library, which is object oriented designed and written in C++11, is general purpose, therefore it is not devot...

CNR@People | DOI: 10.1007/978-3-319-23315-4_9
2014, Technical report
Igatools: an isogeometric analysis library
M.S. Pauletti, M. Martinelli, N. Cavallini, and P. Antolín
We present a novel mathematically faithful object oriented design for a general purpose isogeometric libraryand introduce a high quality open source implementation of it, igatools (

CNR@People | Link
2014, Software
Igatools (an isogeometric analisys library)
M.S. Pauletti, M. Martinelli, N. Cavallini, and P. Antolin
igatools is an open source, modern designed general purpose isogeometric analysis software library to numerically solve partial differential equations using isogeometric spaces.The library is implemen...

CNR@People | Link