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CHANGE SIGNED

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

Total Cost €

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EC-Contrib. €

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Partnership

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Project "CHANGE" data sheet

The following table provides information about the project.

Coordinator
ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE 

Organization address
address: BATIMENT CE 3316 STATION 1
city: LAUSANNE
postcode: 1015
website: www.epfl.ch

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Switzerland [CH]
 Total cost 2˙199˙219 €
 EC max contribution 2˙199˙219 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2015-AdG
 Funding Scheme ERC-ADG
 Starting year 2016
 Duration (year-month-day) from 2016-10-01   to  2021-09-30

 Partnership

Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE CH (LAUSANNE) coordinator 810˙471.00
2    CONSIGLIO NAZIONALE DELLE RICERCHE IT (ROMA) participant 877˙557.00
3    OESTERREICHISCHE AKADEMIE DER WISSENSCHAFTEN AT (WIEN) participant 255˙595.00
4    UNIVERSITAT LINZ AT (LINZ) participant 255˙595.00

Map

 Project objective

The simulation of Partial Differential Equations (PDEs) is an indispensable tool for innovation in science and technology. Computer-based simulation of PDEs approximates unknowns defined on a geometrical entity such as the computational domain with all of its properties. Mainly due to historical reasons, geometric design and numerical methods for PDEs have been developed independently, resulting in tools that rely on different representations of the same objects.

CHANGE aims at developing innovative mathematical tools for numerically solving PDEs and for geometric modeling and processing, the final goal being the definition of a common framework where geometrical entities and simulation are coherently integrated and where adaptive methods can be used to guarantee optimal use of computer resources, from the geometric description to the simulation. We will concentrate on two classes of methods for the discretisation of PDEs that are having growing impact: isogeometric methods and variational methods on polyhedral partitions. They are both extensions of standard finite elements enjoying exciting features, but both lack of an ad-hoc geometric modelling counterpart. We will extend numerical methods to ensure robustness on the most general geometric models, and we will develop geometric tools to construct, manipulate and refine such models. Based on our tools, we will design an innovative adaptive framework, that jointly exploits multilevel representation of geometric entities and PDE unknowns. Moreover, efficient algorithms call for efficient implementation: the issue of the optimisation of our algorithms on modern computer architecture will be addressed. Our research (and the team involved in the project) will combine competencies in computer science, numerical analysis, high performance computing, and computational mechanics. Leveraging our innovative tools, we will also tackle challenging numerical problems deriving from bio-mechanical applications.

 Publications

year authors and title journal last update
List of publications.
2018 Eduardo M. Garau, Rafael Vázquez
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
published pages: 58-87, ISSN: 0168-9274, DOI: 10.1016/j.apnum.2017.08.006
Applied Numerical Mathematics 123 2019-11-28
2019 S. Kargaran, B. Jüttler, S.K. Kleiss, A. Mantzaflaris, T. Takacs
Overlapping multi-patch structures in isogeometric analysis
published pages: 325-353, ISSN: 0045-7825, DOI: 10.1016/j.cma.2019.07.010
Computer Methods in Applied Mechanics and Engineering 356 2019-11-28
2017 Pablo Antolin, Andrea Bressan, Annalisa Buffa, Giancarlo Sangalli
An isogeometric method for linear nearly-incompressible elasticity with local stress projection
published pages: 694-719, ISSN: 0045-7825, DOI: 10.1016/j.cma.2016.09.033
Computer Methods in Applied Mechanics and Engineering 316 2019-11-28
2019 Felix Scholz, Bert Jüttler
Numerical integration on trimmed three-dimensional domains with implicitly defined trimming surfaces
published pages: 112577, ISSN: 0045-7825, DOI: 10.1016/j.cma.2019.112577
Computer Methods in Applied Mechanics and Engineering 357 2019-11-07
2018 Cho, D. Vazquez Hernandez, Rafael
OUP accepted manuscript
published pages: , ISSN: 0272-4979, DOI: 10.1093/imanum/dry032
Ima Journal Of Numerical Analysis 2019-06-13
2017 Pablo Antolin, Andrea Bressan, Annalisa Buffa, Giancarlo Sangalli
An isogeometric method for linear nearly-incompressible elasticity with local stress projection
published pages: 694-719, ISSN: 0045-7825, DOI: 10.1016/j.cma.2016.09.033
Computer Methods in Applied Mechanics and Engineering 316 2019-06-13
2018 Silvia Bertoluzza and Daniele Prada
A Polygonal Discontinuous Galerkin method with minus one stabilization
published pages: , ISSN: , DOI:
2019-06-13
2018 Daniele Prada, Silvia Bertoluzza, Micol Pennacchio, Marco Livesu
FETI-DP preconditioners for the Virtual Element Method on general 2D meshes
published pages: , ISSN: , DOI:
2019-06-13
2017 Silvia Bertoluzza, Micol Pennacchio, Daniele Prada
BDDC and FETI-DP for the virtual element method
published pages: 1565-1593, ISSN: 0008-0624, DOI: 10.1007/s10092-017-0242-3
Calcolo 54/4 2019-06-13
2018 R.N. Simpson, Z. Liu, R. Vázquez, J.A. Evans
An isogeometric boundary element method for electromagnetic scattering with compatible B-spline discretizations
published pages: 264-289, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.01.025
Journal of Computational Physics 362 2019-06-13
2018 Felix Scholz, Angelos Mantzaflaris, Bert Jüttler
Partial tensor decomposition for decoupling isogeometric Galerkin discretizations
published pages: 485-506, ISSN: 0045-7825, DOI: 10.1016/j.cma.2018.03.026
Computer Methods in Applied Mechanics and Engineering 336 2019-06-13
2017 Nora Engleitner, Bert Jüttler
Patchwork B-spline refinement
published pages: 168-179, ISSN: 0010-4485, DOI: 10.1016/j.cad.2017.05.021
Computer-Aided Design 90 2019-06-13
2019 Marco Livesu, Nico Pietroni, Enrico Puppo, Alla Sheffer, Paolo Cignoni
Loopy Cuts: Surface-Field Aware Block Decomposition for Hex-Meshing
published pages: , ISSN: , DOI:
2019-08-05
2018 G. Patanè
Laplacian spectral basis functions
published pages: 31-47, ISSN: 0167-8396, DOI: 10.1016/j.cagd.2018.07.002
Computer Aided Geometric Design 65 2019-08-05
2019 Felix Scholz, Bert Juettler
Numerical integration on trimmed three-dimensional domains
published pages: , ISSN: , DOI:
NFN Technical report 85 2019-06-13
2018 Eduardo M. Garau, Rafael Vázquez
Algorithms for the implementation of adaptive isogeometric methods using hierarchical B-splines
published pages: 58-87, ISSN: 0168-9274, DOI: 10.1016/j.apnum.2017.08.006
Applied Numerical Mathematics 123 2019-06-13
2018 F. Scholz, A. Mantzaflaris, B. Jüttler
First order error correction for trimmed quadrature in isogeometric analysis
published pages: , ISSN: , DOI:
RICAM reports 2018-11 2019-06-13
2019 Silvia Bertoluzza
Algebraic representation of dual scalar products and stabilization of saddle point problems
published pages: , ISSN: , DOI:
2019-08-05
2019 Giuseppe Patané
A unified definition and computation of Laplacian spectral distances
published pages: 68-78, ISSN: 0031-3203, DOI: 10.1016/j.patcog.2019.04.004
Pattern Recognition 93 2019-08-05
2017 Annalisa Buffa, Carlotta Giannelli
Adaptive isogeometric methods with hierarchical splines: Optimality and convergence rates
published pages: 2781-2802, ISSN: 0218-2025, DOI: 10.1142/S0218202517500580
Mathematical Models and Methods in Applied Sciences 27/14 2019-06-13
2019 Patton, Alessia; Dufour, John-Eric; Antolin, Pablo; Reali, Alessandro
Fast and accurate elastic analysis of laminated composite plates via isogeometric collocation and an equilibrium-based stress recovery approach
published pages: , ISSN: , DOI:
2 2019-08-05
2019 Bracco, Cesare; Giannelli, Carlotta; Kapl, Mario; Vázquez, Rafael
Isogeometric analysis with $C^1$ hierarchical functions on planar two-patch geometries
published pages: , ISSN: , DOI:
5 2019-08-06
2018 Annalisa Buffa, Eduardo M. Garau
A posteriori error estimators for hierarchical B-spline discretizations
published pages: 1453-1480, ISSN: 0218-2025, DOI: 10.1142/s0218202518500392
Mathematical Models and Methods in Applied Sciences 28/08 2019-06-07
2019 M. Attene, S. Biasotti, S. Bertoluzza, D. Cabiddu, M. Livesu, G. Patanè, M. Pennacchio, D. Prada, M. Spagnuolo
Benchmark of Polygon Quality Metrics for Polytopal Element Methods
published pages: , ISSN: , DOI:
2019-08-05
2018 Pablo Antolin, Annalisa Buffa, Mathieu Fabre
A priori error for unilateral contact problems with Lagrange multipliers and isogeometric analysis
published pages: , ISSN: 0272-4979, DOI: 10.1093/imanum/dry041
IMA Journal of Numerical Analysis 2019-06-07
2019 Massarwi, Fady; Antolin, Pablo; Elber, Gershon
Volumetric Untrimming: Precise decomposition of trimmed trivariates into tensor products
published pages: , ISSN: , DOI:
1 2019-08-06
2019 Pablo Antolin, Annalisa Buffa, Elaine Cohen, John F. Dannenhoffer, Gershon Elber, Stefanie Elgeti, Robert Haimes, Richard Riesenfeld
Optimizing Micro-Tiles in Micro-Structures as a Design Paradigm
published pages: 23-33, ISSN: 0010-4485, DOI: 10.1016/j.cad.2019.05.020
Computer-Aided Design 115 2019-08-05
2018 Buffa, Annalisa; Dölz, Jürgen; Kurz, Stefan; Schöps, Sebastian; Vázques, Rafael; Wolf, Felix
Multipatch Approximation of the de Rham Sequence and its Traces in Isogeometric Analysis
published pages: , ISSN: , DOI:
11 2019-06-07
2018 Buffa, Annalisa; Corno, Jacopo; de Falco, Carlo; Schöps, Sebastian; Vázquez, Rafael
Isogeometric Mortar Coupling for Electromagnetic Problems
published pages: , ISSN: , DOI:
7 2019-06-07
2018 Cesare Bracco, Carlotta Giannelli, Rafael Vázquez
Refinement Algorithms for Adaptive Isogeometric Methods with Hierarchical Splines
published pages: 43, ISSN: 2075-1680, DOI: 10.3390/axioms7030043
Axioms 7/3 2019-06-07
2019 Matteo Bracci, Marco Tarini, Nico Pietroni, Marco Livesu, Paolo Cignoni
HexaLab.net: An online viewer for hexahedral meshes
published pages: 24-36, ISSN: 0010-4485, DOI: 10.1016/j.cad.2018.12.003
Computer-Aided Design 110 2019-08-05
2019 Antolin, Pablo; Buffa, Annalisa; Martinelli, Massimiliano
Isogeometric Analysis on V-reps: first results
published pages: , ISSN: , DOI:
3 2019-08-05
2018 John A Evans, Michael A Scott, Kendrick M Shepherd, Derek C Thomas, Rafael Vázquez Hernández
Hierarchical B-spline complexes of discrete differential forms
published pages: , ISSN: 0272-4979, DOI: 10.1093/imanum/dry077
IMA Journal of Numerical Analysis 2019-06-07
2018 Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
FETI-DP for the three-dimensional Virtual Element Method
published pages: , ISSN: , DOI:
2 2019-06-06
2017 Marco Livesu
Heat Flow Based Relaxation of n Dimensional Discrete Hyper Surfaces
published pages: , ISSN: , DOI: 10.2312/stag.20171222
Smart Tools and Apps for Graphics - Eurographics Italian Chapter Conference 2019-06-06
2019 Bertoluzza, Silvia; Pennacchio, Micol; Prada, Daniele
High order VEM on curved domains
published pages: , ISSN: 1120-6330, DOI:
Rend. Lincei Mat. Appl. 10 2019-06-06
2019 Svajunas Sajavičius, Bert Jüttler, Jaka Špeh
Template Mapping Using Adaptive Splines and Optimization of the Parameterization
published pages: , ISSN: , DOI:
Advanced Methods for Geometric Modeling and Numerical Simulation to appear 2019-06-06
2019 Michael Haberleitner, Bert Jüttler, Yannick Masson
Isogeometric Segmentation via Midpoint Subdivision Suitable Solids
published pages: 179-190, ISSN: 0010-4485, DOI: 10.1016/j.cad.2019.05.012
Computer-Aided Design 114 2019-06-06
2017 Marco Livesu, Marco Attene, Giuseppe Patané, Michela Spagnuolo
Explicit cylindrical maps for general tubular shapes
published pages: 27-36, ISSN: 0010-4485, DOI: 10.1016/j.cad.2017.05.002
Computer-Aided Design 90 2019-06-06
2018 Prada, Daniele; Pennacchio, Micol
Algebraic Multigrid Methods For Virtual Element Discretizations: A Numerical Study
published pages: , ISSN: , DOI:
5 2019-06-06
2019 Somayeh Kargaran, Bert Jüttler, Stefan K. Kleiss, Angelos Mantzaflaris, Thomas Takacs
Overlapping Multi-Patch Structures in Isogeometric Analysis
published pages: , ISSN: , DOI:
NFN Technical Report 82 2019-06-06
2018 Marco Livesu
A heat flow based relaxation scheme for n dimensional discrete hyper surfaces
published pages: 124-131, ISSN: 0097-8493, DOI: 10.1016/j.cag.2018.01.004
Computers & Graphics 71 2019-06-06

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