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

Project Information

CHANGE

Grant agreement ID: 694515

DOI 10.3030/694515

Project closed

EC signature date 13 July 2016

Start date 1 October 2016

End date 30 September 2022

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 2 199 219,00

EU contribution € 2 199 219,00

Coordinated by

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Switzerland

Publications

Peer reviewed articles (77)

Fast assembly of Galerkin matrices for 3D solid laminated composites using finite element and isogeometric discretizations

Author(s): Pablo Antolin
Published in: Computational Mechanics, Issue 7, 2019, ISSN 0178-7675
Publisher: Springer Verlag
DOI: 10.1007/s00466-019-01756-6

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

Author(s): Annalisa Buffa; Jürgen Dölz; Stefan Kurz; Sebastian Schöps; Rafael Vázquez; Felix Wolf
Published in: Numerische Mathematik, Issue 11, 2019, ISSN 0178-7675
Publisher: Springer Verlag
DOI: 10.1007/s00211-019-01079-x

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
Publisher: Institute of Electrical and Electronics Engineers
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
Publisher: Institute of Electrical and Electronics Engineers
DOI: 10.1109/tvcg.2021.3070046

Remarks on Poincare and interpolation estimates for Truncated Hierarchical B-splines

Author(s): Annalisa Buffa; Carlotta Giannelli
Published in: info:cnr-pdr/source/autori:A. Buffa and C. Giannelli/titolo:Remarks on Poincaré and interpolation estimates for Truncated Hierarchical B-splines/doi:10.1142%2FS0218202521500111/rivista:Mathematical models and methods in applied sciences/anno:2021/pagina_da:525/pagina_a:535/intervallo_pagine:525–535/volume:31, Issue 3, 2020, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202521500111

Benchmarking the geometrical robustness of a Virtual Element Poisson solver

Author(s): Marco Attene, Silvia Biasotti, Silvia Bertoluzza, Daniela Cabiddu, Marco Livesu, Giuseppe Patanè, Micol Pennacchio, Daniele Prada, Michela Spagnuolo
Published in: Mathematics and Computers in Simulation, Issue 03784754, 2021, ISSN 0378-4754
Publisher: Elsevier BV
DOI: 10.1016/j.matcom.2021.07.018

Volumetric untrimming: Precise decomposition of trimmed trivariates into tensor products

Author(s): Fady Massarwi; Pablo Antolin; Gershon Elber
Published in: Computer Aided Geometric Design, Issue 6, 2019, ISSN 0263-8223
Publisher: Elsevier BV
DOI: 10.48550/arxiv.1903.08907

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
Publisher: Springer Verlag
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
Publisher: Springer Verlag
DOI: 10.1007/s00466-021-01983-w

Quadrature-free Immersed Isogeometric Analysis

Author(s): P. Antolin; T. Hirschler
Published in: Crossref, Issue 6, 2022, ISSN 0177-0667
Publisher: Springer Verlag
DOI: 10.48550/arxiv.2107.09024

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
Publisher: Institute of Electrical and Electronics Engineers
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
Publisher: Pergamon Press Ltd.
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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1233303

Weakly imposed Dirichlet boundary conditions for 2D and 3D Virtual Elements

Author(s): Silvia Bertoluzza; Micol Pennacchio; Daniele Prada
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 00457825, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2022.115454

Generalized Adaptive Refinement for Grid-based Hexahedral Meshing

Author(s): Luca Pitzalis; Marco Livesu; Gianmarco Cherchi; Enrico Gobbetti; Riccardo Scateni
Published in: ACM Transactions on Graphics, 2021, ISSN 0730-0301
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3478513.3480508

Stabilization of the nonconforming virtual element method

Author(s): Bertoluzza, Silvia; Manzini, Gianmarco; Pennacchio, Micol; Prada, Daniele
Published in: Computers & Mathematics with Applications, Issue 08981221, 2021, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2021.10.009

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
Publisher: Elsevier BV
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
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3386569.3392426

Use of Machine Learning for unraveling hidden correlations between Particle Size Distributions and the Mechanical Behavior of Granular Materials

Author(s): Ignacio González Tejada; Pablo Antolin
Published in: Crossref, Issue 12, 2021, ISSN 1861-1125
Publisher: Springer Verlag
DOI: 10.48550/arxiv.2006.05711

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
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202517500580

An a posteriori error estimator for isogeometric analysis on trimmed geometries

Author(s): Annalisa Buffa; Ondine Chanon; Rafael Vazquez
Published in: Ima Journal Of Numerical Analysis, 2022, ISSN 0272-4979
Publisher: Oxford University Press
DOI: 10.1093/imanum/drac063

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
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2019.112634

An unrefinement algorithm for planar THB-spline parameterizations

Author(s): Teymur Heydarov, Annalisa Buffa, Bert Jüttler
Published in: Computer Aided Geometric Design, Issue 99, 2022, 2022, Page(s) 102157, ISSN 0167-8396
Publisher: Elsevier BV
DOI: 10.1016/j.cagd.2022.102157

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

Author(s): Alessia Patton; John-Eric Dufour; Pablo Antolin; Alessandro Reali
Published in: info:cnr-pdr/source/autori:A. Patton, J.-E. Dufour, P. Antolin, and A. Reali/titolo:Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach/doi:10.1016%2Fj.compstruct.2019.111026/rivista:Composite structures/anno:2019/pagina_da:111026/pagina_a:/intervallo_pagine:111026/volume:225, Issue 2, 2019, ISSN 0263-8223
Publisher: Elsevier BV
DOI: 10.1016/j.compstruct.2019.111026

Fast Formation of Matrices for Least-Squares Fitting by Tensor-Product Spline Surfaces

Author(s): Sandra Merchel, Bert Jüttler, Dominik Mokris, Maodong Pan
Published in: CAD Computer Aided Design, Issue 150- 2022, 2022, Page(s) 103307, ISSN 0010-4485
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cad.2022.103307

Polyhedron Kernel Computation Using a Geometric Approach

Author(s): Tommaso Sorgente; Silvia Biasotti; Michela Spagnuolo
Published in: Computers & Graphics, Issue 22, 2022, ISSN 0097-8493
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cag.2022.05.001

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; Alessandro Reali
Published in: Composites. Part B, Engineering 138 (2018): 12–18. doi:10.1016/j.compositesb.2017.11.026, Issue 11, 2018, ISSN 0263-8223
Publisher: Elsevier BV
DOI: 10.1016/j.compositesb.2017.11.026

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
Publisher: Springer Verlag
DOI: 10.1007/s00466-020-01837-x

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

Author(s): Felix Scholz, Bert Jüttler
Published in: SIAM Journal on Numerical Analysis, Issue volume 59, Issue 4, 2021, 2021, Page(s) 2138-2162, ISSN 0036-1429
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/20m1341283

Optimal Dual Schemes for Adaptive Grid Based Hexmeshing

Author(s): Marco Livesu; Luca Pitzalis; Gianmarco Cherchi
Published in: ACM transactions on graphics 41 (2022). doi:10.1145/3494456, Issue 11, 2022, ISSN 0730-0301
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3494456

Fast and Exact Root Parity for Continuous Collision Detection

Author(s): Bolun Wang; Zachary Ferguson; Xin Jiang; Marco Attene; Daniele Panozzo; Teseo Schneider
Published in: Computer Graphics Forum, Issue 3, 2022, ISSN 1467-8659
Publisher: John Wiley & Sons
DOI: 10.1111/cgf.14479

Weighted quadrature for hierarchical B-splines

Author(s): Giannelli, Carlotta; Kanduc, Tadej; Martinelli, Massimiliano; Sangalli, Giancarlo; Tani, Mattia
Published in: Computer Methods in Applied Mechanics and Engineering, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2022.115465

Practical Computation of the Cut Locus on Discrete Surfaces

Author(s): Claudio Mancinelli; Marco Livesu; Enrico Puppo
Published in: Computer graphics forum (Print) 40 (2021): 261–273. doi:10.1111/cgf.14372, Issue 14, 2021, ISSN 1467-8659
Publisher: John Wiley & Sons
DOI: 10.1111/cgf.14372

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
Publisher: Elsevier BV
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
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cag.2019.03.005

A Large-scale Benchmark and an Inclusion-based Algorithm for Continuous Collision Detection

Author(s): Bolun Wang; Zachary Ferguson; Teseo Schneider; Xin Jiang; Marco Attene; Daniele Panozzo
Published in: ACM transactions on graphics 40 (2021): 188:1–188:16. doi:10.1145/3460775, Issue 14, 2022, ISSN 0730-0301
Publisher: Association for Computing Machinary, Inc.
DOI: 10.1145/3460775

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

Author(s): Silvia Bertoluzza, Ilaria Perugia, Daniele Prada
Published in: Mathematical Models and Methods in Applied Sciences, Issue 02182025, 2021, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.1142/s0218202521500597

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
Publisher: Pergamon Press Ltd.
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
Publisher: Elsevier BV
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
Publisher: Springer Verlag
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
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.compositesb.2017.11.026

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
Publisher: Academic Press
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
Publisher: Oxford University Press
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
Publisher: Pergamon Press Ltd.
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
Publisher: Accademia Nazionale dei Lincei
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
Publisher: Pergamon Press Ltd.
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
Publisher: Elsevier BV
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
Publisher: Pergamon Press Ltd.
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
Publisher: Oxford University Press
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
Publisher: MDPI
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
Publisher: Oxford University Press
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
Publisher: World Scientific Publishing Co
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
Publisher: Pergamon Press Ltd.
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
Publisher: Society for Industrial and Applied Mathematics
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
Publisher: Elsevier BV
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
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.cad.2018.12.003

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

Author(s): Silvia Bertoluzza
Published in: Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur., Issue 11206330, 2022, ISSN 1120-6330
Publisher: Accademia Nazionale dei Lincei
DOI: 10.4171/rlm/952

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
Publisher: Pergamon Press
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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2016.09.033

Analysis-aware defeaturing: problem setting and a posteriori estimation

Author(s): Ondine Chanon; Rafael Vázquez Hernández; Annalisa Buffa
Published in: Crossref, Issue 11, 2021, ISSN 0218-2025
Publisher: World Scientific Publishing Co
DOI: 10.48550/arxiv.2007.11525

Spectrum-Free and Meshless Solvers of Parabolic PDEs

Author(s): Giuseppe Patané
Published in: Journal of Scientific Computing, 2021, ISSN 0885-7474
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10915-021-01604-x

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
Publisher: Elsevier BV
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
Publisher: Elsevier BV
DOI: 10.1016/j.cam.2020.113278

Efficient matrix computation for isogeometric discretizations with hierarchical B-splines in any dimension

Author(s): Maodong Pan, Bert Jüttler, Felix Scholz
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 388, 2022, 114210, 2022, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2021.114210

Conforming virtual element approximations of the two-dimensional Stokes problem

Author(s): Gianmarco Manzini; Annamaria Mazzia
Published in: Applied Numerical Mathematics, 2022, ISSN 0168-9274
Publisher: Elsevier BV
DOI: 10.48550/arxiv.2112.14271

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
Publisher: EDP Sciences
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
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2020.113005

Isogeometric Mortar Coupling for Electromagnetic Problems

Author(s): Annalisa Buffa; Jacopo Corno; Carlo de Falco; Sebastian Schöps; Rafael Vazquez Hernandez
Published in: Isogeometric Mortar Coupling for Electromagnetic Problems, Issue 2, 2020, ISSN 1064-8275
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1235211

The role of mesh quality and mesh quality indicators in the virtual element method

Author(s): T. Sorgente; S. Biasotti; G. Manzini; M. Spagnuolo
Published in: Advances in computational mathematics 48 (2022). doi:10.1007/s10444-021-09913-3, Issue 10197168, 2021, ISSN 1019-7168
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10444-021-09913-3

Polyhedral Mesh Quality Indicator for the Virtual Element Method

Author(s): T. Sorgente; S. Biasotti; G. Manzini; M. Spagnuolo
Published in: Computer & Mathematics with Applications, 2021, ISSN 0898-1221
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.camwa.2022.03.042

Other (11)

The virtual element method on image-based domain approximations

Author(s): Silvia Bertoluzza; Monica Montardini; Micol Pennacchio; Daniele Prada
Published in: 2022
Publisher: ArXiv

Interior estimates for the Virtual Element Method

Author(s): Silvia Bertoluzza; Micol Pennacchio; Daniele Prada
Published in: 2022
Publisher: ArXiv

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
Publisher: JKU

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
Publisher: ArXiV

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
Publisher: RICAM - Johann Radon Institute for Computational and Applied Mathematics

Numerical integration on trimmed three-dimensional domains

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

Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study

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

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
Publisher: ArXiv

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
Publisher: ArXiv

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
Publisher: ArXiV

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
Publisher: ArXiV

Book chapters (6)

DPB-Splines: The Decoupled Basis of Patchwork Splines

Author(s): Nora Hemelmayr, Bert Jüttler
Published in: Geometric Challenges in Isogeometric Analysis, Issue Springer INdAM Series 2281-5198, 2022, Page(s) 49-83, ISBN 978-3-030-92313-6
Publisher: Springer
DOI: 10.1007/978-3-030-92313-6_3

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: The Virtual Element Method and its Applications, 2022
Publisher: Springer
DOI: 10.1007/978-3-030-95319-5_1

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, ISBN 978-3-319-96414-0
Publisher: Springer International Publishing
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, ISBN 978-3-030-27330-9
Publisher: Springer International Publishing
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, ISBN 978-3-030-14243-8
Publisher: Springer International Publishing
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, ISBN 978-3-662-59957-0
Publisher: Springer Berlin Heidelberg
DOI: 10.1007/978-3-662-59958-7_4

Thesis and dissertations (1)

Adaptive analysis-aware defeaturing

Author(s): Ondine Chanon
Published in: 2022
Publisher: EPFL

Non-peer reviewed articles (2)

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
Publisher: EDP Sciences
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
Publisher: Elsevier BV
DOI: 10.1016/j.cma.2019.01.044

Conference proceedings (2)

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
Publisher: The Eurographics Association
DOI: 10.2312/stag.20171222

A Geometric Approach for Computing the Kernel of a Polyhedron

Author(s): Sorgente, Tommaso; Biasotti, Silvia; Spagnuolo, Michela
Published in: STAG: Smart Tools and Applications in Graphics (2021), pp. 11–19, Remote event, 26-29 October, 2021, 2021, ISBN 978-3-03868-165-6
Publisher: The Eurographics Association
DOI: 10.48550/arxiv.2110.11054