152 citations
- Universitat Politècnica de CatalunyaES87 papers
- Monash UniversityAU13 papers
- Swansea UniversityGB11 papers
- Khalifa University of Science and TechnologyAE6 papers
- Institute for Bioengineering of CataloniaES5 papers
- American Institute of Aeronautics and AstronauticsUS3 papers
- Barcelona Institute of Science and TechnologyES3 papers
- Barcelona Supercomputing CenterES3 papers
- Centre National de la Recherche ScientifiqueFR3 papers
- ESPCI ParisFR3 papers
- Institució Catalana de Recerca i Estudis AvançatsES3 papers
- Institut LangevinFR3 papers
6 papers · 2 filters
Anisotropic mesh adaptation for region-based segmentation accounting for image spatial information
Matteo Giacomini, Simona Perotto
A finite element-based image segmentation strategy enhanced by an anisotropic mesh adaptation procedure is presented. The methodology relies on a split Bregman algorithm for the mi…
Geometrical discretisations for unfitted finite elements on explicit boundary representations
Santiago Badia, Pere A. Martorell, Francesc Verdugo
Unfitted (also known as embedded or immersed) finite element approximations of partial differential equations are very attractive because they have much lower geometrical requireme…
High performance reduction technique for multiscale finite element modeling (HPR-FE2): towards industrial multiscale FE software
Marcelo Raschi, Oriol Lloberas-Valls, Alfredo Huespe +1
The authors have shown in previous contributions that reduced order modeling with optimal cubature applied to finite element square (FE2) techniques results in a reliable and affor…
A posteriori goal-oriented bounds for the Poisson problem using potential and equilibrated flux reconstructions: application to the hybridizable discontinuous Galerkin method
Nuria Pares, Ngoc-Cuong Nguyen, Pedro Diez +1
We present a general framework to compute upper and lower bounds for linear-functional outputs of the exact solutions of the Poisson equation based on reconstructions of the field…
Linking ghost penalty and aggregated unfitted methods
Santiago Badia, Eric Neiva, Francesc Verdugo
In this work, we analyse the links between ghost penalty stabilisation and aggregation-based discrete extension operators for the numerical approximation of elliptic partial differ…
Nonlinear dimensionality reduction for parametric problems: a kernel Proper Orthogonal Decomposition (kPOD)
Pedro Díez, Alba Muixí, Sergio Zlotnik +1
Reduced-order models are essential tools to deal with parametric problems in the context of optimization, uncertainty quantification, or control and inverse problems. The set of pa…