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New CHallenges for (adaptive) PDE solvers: the interplay of ANalysis and GEometry

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Publications

Continuous Fuzzy Transform as Integral Operator

Author(s): Giuseppe Patane
Published in: IEEE Transactions on Fuzzy Systems, 2021, Page(s) 1-1, ISSN 1063-6706
DOI: 10.1109/tfuzz.2020.3012764

Deterministic Linear Time Constrained Triangulation using Simplified Earcut

Author(s): Marco Livesu, Gianmarco Cherchi, Riccardo Scateni, Marco Attene
Published in: IEEE Transactions on Visualization and Computer Graphics, 2021, Page(s) 1-1, ISSN 1077-2626
DOI: 10.1109/tvcg.2021.3070046

Hierarchically refined isogeometric analysis of trimmed shells

Author(s): Luca Coradello, Davide D’Angella, Massimo Carraturo, Josef Kiendl, Stefan Kollmannsberger, Ernst Rank, Alessandro Reali
Published in: Computational Mechanics, Issue 66/2, 2020, Page(s) 431-447, ISSN 0178-7675
DOI: 10.1007/s00466-020-01858-6

A projected super-penalty method for the $$C^1$$-coupling of multi-patch isogeometric Kirchhoff plates

Author(s): Luca Coradello, Gabriele Loli, Annalisa Buffa
Published in: Computational Mechanics, Issue 67/4, 2021, Page(s) 1133-1153, ISSN 0178-7675
DOI: 10.1007/s00466-021-01983-w

Meshless Approximation and Helmholtz-Hodge Decomposition of Vector Fields

Author(s): Giuseppe Patane
Published in: IEEE Transactions on Visualization and Computer Graphics, 2021, Page(s) 1-1, ISSN 1077-2626
DOI: 10.1109/tvcg.2020.3016588

Isogeometric analysis with C 1 hierarchical functions on planar two-patch geometries

Author(s): Cesare Bracco, Carlotta Giannelli, Mario Kapl, Rafael Vázquez
Published in: Computers & Mathematics with Applications, Issue 80/11, 2020, Page(s) 2538-2562, ISSN 0898-1221
DOI: 10.1016/j.camwa.2020.03.018

BPX preconditioners for isogeometric analysis using (truncated) hierarchical B-splines

Author(s): Cesare Bracco, Durkbin Cho, Carlotta Giannelli, Rafael Vázquez
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 379, 2021, Page(s) 113742, ISSN 0045-7825
DOI: 10.1016/j.cma.2021.113742

Parameterization for polynomial curve approximation via residual deep neural networks

Author(s): Felix Scholz, Bert Jüttler
Published in: Computer Aided Geometric Design, Issue 85, 2021, Page(s) 101977, ISSN 0167-8396
DOI: 10.1016/j.cagd.2021.101977

Overlapping Multipatch Isogeometric Method with Minimal Stabilization

Author(s): Pablo Antolin, Annalisa Buffa, Riccardo Puppi, Xiaodong Wei
Published in: SIAM Journal on Scientific Computing, Issue 43/1, 2021, Page(s) A330-A354, ISSN 1064-8275
DOI: 10.1137/19m1306750

FETI-DP for the Three Dimensional Virtual Element Method

Author(s): Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
Published in: SIAM Journal on Numerical Analysis, Issue 58/3, 2020, Page(s) 1556-1591, ISSN 0036-1429
DOI: 10.1137/18m1233303

Representing planar domains by polar parameterizations with parabolic parameter lines

Author(s): Sofia Trautner, Bert Jüttler, Myung-Soo Kim
Published in: Computer Aided Geometric Design, Issue 85, 2021, Page(s) 101966, ISSN 0167-8396
DOI: 10.1016/j.cagd.2021.101966

Exact and efficient polyhedral envelope containment check

Author(s): Bolun Wang, Teseo Schneider, Yixin Hu, Marco Attene, Daniele Panozzo
Published in: ACM Transactions on Graphics, Issue 39/4, 2020, ISSN 0730-0301
DOI: 10.1145/3386569.3392426

Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates

Author(s): Annalisa Buffa, Carlotta Giannelli
Published in: Mathematical Models and Methods in Applied Sciences, Issue 27/14, 2017, Page(s) 2781-2802, ISSN 0218-2025
DOI: 10.1142/s0218202517500580

Bivariate Hermite interpolation by a limiting case of the cross approximation algorithm

Author(s): Yannick Masson, Bert Jüttler
Published in: Journal of Computational and Applied Mathematics, Issue 375, 2020, Page(s) 112634, ISSN 0377-0427
DOI: 10.1016/j.cam.2019.112634

A simple and effective method based on strain projections to alleviate locking in isogeometric solid shells

Author(s): Pablo Antolin, Josef Kiendl, Marco Pingaro, Alessandro Reali
Published in: Computational Mechanics, Issue 65/6, 2020, Page(s) 1621-1631, ISSN 0178-7675
DOI: 10.1007/s00466-020-01837-x

Adaptive isogeometric analysis on two-dimensional trimmed domains based on a hierarchical approach

Author(s): Luca Coradello, Pablo Antolin, Rafael Vázquez, Annalisa Buffa
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 364, 2020, Page(s) 112925, ISSN 0045-7825
DOI: 10.1016/j.cma.2020.112925

A comparison of methods for gradient field estimation on simplicial meshes

Author(s): Claudio Mancinelli, Marco Livesu, Enrico Puppo
Published in: Computers & Graphics, Issue 80, 2019, Page(s) 37-50, ISSN 0097-8493
DOI: 10.1016/j.cag.2019.03.005

Patchwork B-spline refinement

Author(s): Nora Engleitner, Bert Jüttler
Published in: Computer-Aided Design, Issue 90, 2017, Page(s) 168-179, ISSN 0010-4485
DOI: 10.1016/j.cad.2017.05.021

Partial tensor decomposition for decoupling isogeometric Galerkin discretizations

Author(s): Felix Scholz, Angelos Mantzaflaris, Bert Jüttler
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 336, 2018, Page(s) 485-506, ISSN 0045-7825
DOI: 10.1016/j.cma.2018.03.026

BDDC and FETI-DP for the virtual element method

Author(s): Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
Published in: Calcolo, Issue 54/4, 2017, Page(s) 1565-1593, ISSN 0008-0624
DOI: 10.1007/s10092-017-0242-3

A cost-effective isogeometric approach for composite plates based on a stress recovery procedure

Author(s): John-Eric Dufour, Pablo Antolin, Giancarlo Sangalli, Ferdinando Auricchio, Alessandro Reali
Published in: Composites Part B: Engineering, Issue 138, 2018, Page(s) 12-18, ISSN 1359-8368
DOI: 10.1016/j.compositesb.2017.11.026

Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates

Author(s): Annalisa Buffa, Carlotta Giannelli
Published in: Mathematical Models and Methods in Applied Sciences, Issue 27/14, 2017, Page(s) 2781-2802, ISSN 0218-2025
DOI: 10.1142/S0218202517500580

An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations

Author(s): R.N. Simpson, Z. Liu, R. Vázquez, J.A. Evans
Published in: Journal of Computational Physics, Issue 362, 2018, Page(s) 264-289, ISSN 0021-9991
DOI: 10.1016/j.jcp.2018.01.025

OUP accepted manuscript

Author(s): Cho, D. Vazquez Hernandez, Rafael
Published in: Ima Journal Of Numerical Analysis, Issue 00, 2018, Page(s) 1-36, ISSN 0272-4979
DOI: 10.1093/imanum/dry032

Isogeometric Segmentation via Midpoint Subdivision Suitable Solids

Author(s): Michael Haberleitner, Bert Jüttler, Yannick Masson
Published in: Computer-Aided Design, Issue 114, 2019, Page(s) 179-190, ISSN 0010-4485
DOI: 10.1016/j.cad.2019.05.012

High order VEM on curved domains

Author(s): Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
Published in: Rendiconti Lincei - Matematica e Applicazioni, Issue 30/2, 2019, Page(s) 391-412, ISSN 1120-6330
DOI: 10.4171/rlm/853

Explicit cylindrical maps for general tubular shapes

Author(s): Marco Livesu, Marco Attene, Giuseppe Patané, Michela Spagnuolo
Published in: Computer-Aided Design, Issue 90, 2017, Page(s) 27-36, ISSN 0010-4485
DOI: 10.1016/j.cad.2017.05.002

Topology-driven shape chartification

Author(s): Tommaso Sorgente, Silvia Biasotti, Marco Livesu, Michela Spagnuolo
Published in: Computer Aided Geometric Design, Issue 65, 2018, Page(s) 13-28, ISSN 0167-8396
DOI: 10.1016/j.cagd.2018.07.001

A heat flow based relaxation scheme for n dimensional discrete hyper surfaces

Author(s): Marco Livesu
Published in: Computers & Graphics, Issue 71, 2018, Page(s) 124-131, ISSN 0097-8493
DOI: 10.1016/j.cag.2018.01.004

A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis

Author(s): Pablo Antolin, Annalisa Buffa, Mathieu Fabre
Published in: IMA Journal of Numerical Analysis, 2018, ISSN 0272-4979
DOI: 10.1093/imanum/dry041

Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines

Author(s): Cesare Bracco, Carlotta Giannelli, Rafael Vázquez
Published in: Axioms, Issue 7/3, 2018, Page(s) 43, ISSN 2075-1680
DOI: 10.3390/axioms7030043

Hierarchical B-spline complexes of discrete differential forms

Author(s): John A Evans, Michael A Scott, Kendrick M Shepherd, Derek C Thomas, Rafael Vázquez Hernández
Published in: IMA Journal of Numerical Analysis, 2018, ISSN 0272-4979
DOI: 10.1093/imanum/dry077

A posteriori error estimators for hierarchical B-spline discretizations

Author(s): Annalisa Buffa, Eduardo M. Garau
Published in: Mathematical Models and Methods in Applied Sciences, Issue 28/08, 2018, Page(s) 1453-1480, ISSN 0218-2025
DOI: 10.1142/s0218202518500392

Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm

Author(s): Pablo Antolin, Annalisa Buffa, Elaine Cohen, John F. Dannenhoffer, Gershon Elber, Stefanie Elgeti, Robert Haimes, Richard Riesenfeld
Published in: Computer-Aided Design, Issue 115, 2019, Page(s) 23-33, ISSN 0010-4485
DOI: 10.1016/j.cad.2019.05.020

A Minimal Stabilization Procedure for Isogeometric Methods on Trimmed Geometries

Author(s): A. Buffa, R. Puppi, R. Vázquez
Published in: SIAM Journal on Numerical Analysis, Issue 58/5, 2020, Page(s) 2711-2735, ISSN 0036-1429
DOI: 10.1137/19m1244718

Isogeometric Analysis on V-reps: First results

Author(s): Pablo Antolin, Annalisa Buffa, Massimiliano Martinelli
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 355, 2019, Page(s) 976-1002, ISSN 0045-7825
DOI: 10.1016/j.cma.2019.07.015

HexaLab.net: An online viewer for hexahedral meshes

Author(s): Matteo Bracci, Marco Tarini, Nico Pietroni, Marco Livesu, Paolo Cignoni
Published in: Computer-Aided Design, Issue 110, 2019, Page(s) 24-36, ISSN 0010-4485
DOI: 10.1016/j.cad.2018.12.003

A unified definition and computation of Laplacian spectral distances

Author(s): Giuseppe Patané
Published in: Pattern Recognition, Issue 93, 2019, Page(s) 68-78, ISSN 0031-3203
DOI: 10.1016/j.patcog.2019.04.004

Laplacian spectral basis functions

Author(s): G. Patanè
Published in: Computer Aided Geometric Design, Issue 65, 2018, Page(s) 31-47, ISSN 0167-8396
DOI: 10.1016/j.cagd.2018.07.002

Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces

Author(s): Felix Scholz, Bert Jüttler
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 357, 2019, Page(s) 112577, ISSN 0045-7825
DOI: 10.1016/j.cma.2019.112577

Overlapping multi-patch structures in isogeometric analysis

Author(s): S. Kargaran, B. Jüttler, S.K. Kleiss, A. Mantzaflaris, T. Takacs
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 356, 2019, Page(s) 325-353, ISSN 0045-7825
DOI: 10.1016/j.cma.2019.07.010

Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines

Author(s): Eduardo M. Garau, Rafael Vázquez
Published in: Applied Numerical Mathematics, Issue 123, 2018, Page(s) 58-87, ISSN 0168-9274
DOI: 10.1016/j.apnum.2017.08.006

An isogeometric method for linear nearly-incompressible elasticity with local stress projection

Author(s): Pablo Antolin, Andrea Bressan, Annalisa Buffa, Giancarlo Sangalli
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 316, 2017, Page(s) 694-719, ISSN 0045-7825
DOI: 10.1016/j.cma.2016.09.033

A hierarchical approach to the a posteriori error estimation of isogeometric Kirchhoff plates and Kirchhoff–Love shells

Author(s): Pablo Antolin, Annalisa Buffa, Luca Coradello
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 363, 2020, Page(s) 112919, ISSN 0045-7825
DOI: 10.1016/j.cma.2020.112919

Efficient matrix assembly in isogeometric analysis with hierarchical B-splines

Author(s): Maodong Pan, Bert Jüttler, Angelos Mantzaflaris
Published in: Journal of Computational and Applied Mathematics, Issue 390, 2021, Page(s) 113278, ISSN 0377-0427
DOI: 10.1016/j.cam.2020.113278

Geometry description and mesh construction from medical imaging

Author(s): Michele Giuliano Carlino, Philippe Ricka, Minh Phan, Silvia Bertoluzza, Micol Pennacchio, Giuseppe Patanè, Michela Spagnuolo
Published in: ESAIM: Proceedings and Surveys, Issue 67, 2020, Page(s) 161-177, ISSN 2267-3059
DOI: 10.1051/proc/202067010

Fast formation of isogeometric Galerkin matrices via integration by interpolation and look-up

Author(s): Maodong Pan, Bert Jüttler, Alessandro Giust
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 366, 2020, Page(s) 113005, ISSN 0045-7825
DOI: 10.1016/j.cma.2020.113005

Using High-order Transport Theorems for Implicitly Defined Moving Curves to Perform Quadrature on Planar Domains

Author(s): Felix Scholz, Bert Jüttler
Published in: AG report No. 93 (accepted to SINUM), 2021

The role of mesh quality and mesh quality indicators in the Virtual Element Method

Author(s): Sorgente, Tommaso; Biasotti, Silvia; Manzini, Gianmarco; Spagnuolo, Michela
Published in: Issue 3, 2021

Stabilization of the nonconforming virtual element method

Author(s): Bertoluzza, Silvia; Manzini, Gianmarco; Pennacchio, Micol; Prada, Daniele
Published in: Issue 18, 2021

PEMesh: a Graphical Framework for the Analysis of the InterplayBetween Geometry and PEM Solvers

Author(s): Cabiddu, Daniela; Patanè, Giuseppe; Spagnuolo, Michela
Published in: Issue 1, 2021

VEM and the Mesh

Author(s): Sorgente, Tommaso; Prada, Daniele; Cabiddu, Daniela; Biasotti, Silvia; Patane, Giuseppe; Pennacchio, Micol; Bertoluzza, Silvia; Manzini, Gianmarco; Spagnuolo, Michela
Published in: Issue 7, 2021

A p-robust polygonal discontinuous Galerkin method with minus one stabilisation

Author(s): Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
Published in: 2020

First order error correction for trimmed quadrature in isogeometric analysis

Author(s): F. Scholz, A. Mantzaflaris, B. Jüttler
Published in: RICAM reports, Issue 2018-11, 2018

Numerical integration on trimmed three-dimensional domains

Author(s): Felix Scholz, Bert Juettler
Published in: NFN Technical report, Issue 85, 2019

Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study

Author(s): Prada, Daniele; Pennacchio, Micol
Published in: Issue 5, 2018

FETI-DP for the three-dimensional Virtual Element Method

Author(s): Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
Published in: Issue 2, 2018

Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis

Author(s): Buffa, Annalisa; Dölz, Jürgen; Kurz, Stefan; Schöps, Sebastian; Vázques, Rafael; Wolf, Felix
Published in: Issue 11, 2018

Isogeometric Mortar Coupling for Electromagnetic Problems

Author(s): Buffa, Annalisa; Corno, Jacopo; de Falco, Carlo; Schöps, Sebastian; Vázquez, Rafael
Published in: Issue 7, 2018

Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach

Author(s): Patton, Alessia; Dufour, John-Eric; Antolin, Pablo; Reali, Alessandro
Published in: Issue 2, 2019

Isogeometric analysis with $C^1$ hierarchical functions on planar two-patch geometries

Author(s): Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael
Published in: Issue 5, 2019

Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products

Author(s): Massarwi, Fady; Antolin, Pablo; Elber, Gershon
Published in: Issue 1, 2019

Benchmark of Polygon Quality Metrics for Polytopal Element Methods

Author(s): M. Attene, S. Biasotti, S. Bertoluzza, D. Cabiddu, M. Livesu, G. Patanè, M. Pennacchio, D. Prada, M. Spagnuolo
Published in: 2019

Loopy Cuts: Surface-Field Aware Block Decomposition for Hex-Meshing

Author(s): Marco Livesu, Nico Pietroni, Enrico Puppo, Alla Sheffer, Paolo Cignoni
Published in: 2019

Algebraic representation of dual scalar products and stabilization of saddle point problems

Author(s): Silvia Bertoluzza
Published in: 2019

A polygonal discontinuous Galerkin method with minus one stabilization

Author(s): Silvia Bertoluzza, Daniele Prada
Published in: ESAIM: Mathematical Modelling and Numerical Analysis, Issue 55, 2021, Page(s) S785-S810, ISSN 0764-583X
DOI: 10.1051/m2an/2020059

Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes

Author(s): Massimo Carraturo, Carlotta Giannelli, Alessandro Reali, Rafael Vázquez
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 348, 2019, Page(s) 660-679, ISSN 0045-7825
DOI: 10.1016/j.cma.2019.01.044

FETI-DP Preconditioners for the Virtual Element Method on General 2D Meshes

Author(s): Daniele Prada, Silvia Bertoluzza, Micol Pennacchio, Marco Livesu
Published in: Numerical Mathematics and Advanced Applications ENUMATH 2017, Issue 126, 2019, Page(s) 157-164
DOI: 10.1007/978-3-319-96415-7_12

Template Mapping Using Adaptive Splines and Optimization of the Parameterization

Author(s): Svajūnas Sajavičius, Bert Jüttler, Jaka Špeh
Published in: Advanced Methods for Geometric Modeling and Numerical Simulation, Issue 35, 2019, Page(s) 217-238
DOI: 10.1007/978-3-030-27331-6_9

First Order Error Correction for Trimmed Quadrature in Isogeometric Analysis

Author(s): Felix Scholz, Angelos Mantzaflaris, Bert Jüttler
Published in: Advanced Finite Element Methods with Applications - Selected Papers from the 30th Chemnitz Finite Element Symposium 2017, Issue 128, 2019, Page(s) 297-321
DOI: 10.1007/978-3-030-14244-5_15

Cinolib: A Generic Programming Header Only C++ Library for Processing Polygonal and Polyhedral Meshes

Author(s): Marco Livesu
Published in: Transactions on Computational Science XXXIV, Issue 11820, 2019, Page(s) 64-76
DOI: 10.1007/978-3-662-59958-7_4

Heat Flow Based Relaxation of n Dimensional Discrete Hyper Surfaces

Author(s): Marco Livesu
Published in: Smart Tools and Apps for Graphics - Eurographics Italian Chapter Conference, 2017
DOI: 10.2312/stag.20171222