Publications related to Parametrization (geometry)

A method and system for optimizing design, implantation, and stimulation protocols of electrodes stimulating the nervous system

A method for optimizing at least one of a geometry, an implantation procedure, and/or stimulation protocol of one or more electrodes for an electrical stimulation of a target structure in a nervous system of a living being by a computer device, the method ...

2024

Reduced order modelling of nonaffine problems on parameterized NURBS multipatch geometries

Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi

This contribution explores the combined capabilities of reduced basis methods and IsoGeometric Analysis (IGA) in the context of parameterized partial differential equations. The introduction of IGA enables a unified simulation framework based on a single g ...

2022

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Annalisa Buffa, Pablo Antolin Sanchez, Margarita Chasapi

This work introduces a reduced order modeling (ROM) framework for the solution of parameterized second-order linear elliptic partial differential equations formulated on unfitted geometries. The goal is to construct efficient projection-based ROMs, which r ...

2022

Coordinate parameterisation and spectral method optimisation for Beltrami field solver in stellarator geometry

David Pfefferlé, Antoine Baillod, Ajay Kumar

The numerical solution of the stepped pressure equilibrium (Hudson et al 2012 Phys. Plasmas 19 112502) requires a fast and robust solver to obtain the Beltrami field in three-dimensional geometry such as stellarators. The spectral method implemented in the ...

IOP PUBLISHING LTD2020

Better Patch Stitching for Parametric Surface Reconstruction

Pascal Fua, Mathieu Salzmann, Zhantao Deng, Jan Bednarík

Recently, parametric mappings have emerged as highly effective surface representations, yielding low reconstruction error. In particular, the latest works represent the target shape as an atlas of multiple mappings, which can closely encode object parts. A ...

IEEE2020

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Andrea Manzoni, Federico Negri

In this work we propose a new, general and computationally cheap way to tackle parametrized PDEs defined on domains with variable shape when relying on the reduced basis method. We easily describe a domain by boundary parametrizations, and obtain domain de ...

MATHICSE2016

Multiresponse modeling of variably saturated flow and isotope tracer transport for a hillslope experiment at the Landscape Evolution Observatory

Damiano Pasetto

This paper explores the challenges of model parameterization and process representation when simulating multiple hydrologic responses from a highly controlled unsaturated flow and transport experiment with a physically based model. The experiment, conducte ...

Copernicus GmbH2016

Parameterized Systems in BIP: Design and Model Checking

Joseph Sifakis, Simon Bliudze, Qiang Wang

BIP is a component-based framework for system design that has important industrial applications. BIP is built on three pillars: behavior, interaction, and priority. In this paper, we introduce first-order interaction logic (FOIL) that extends BIP to system ...

Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik2016

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

Elsevier2015

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

Andrea Manzoni, Federico Negri

In this work, we apply a Matrix version of the so-called Discrete Empirical Interpolation (MDEIM) for the efficient reduction of nonaffine parametrized systems arising from the discretization of linear partial differential equations. Dealing with affinely ...

MATHICSE2015

Parametrization (geometry)

A method and system for optimizing design, implantation, and stimulation protocols of electrodes stimulating the nervous system

Reduced order modelling of nonaffine problems on parameterized NURBS multipatch geometries

A localized reduced basis approach for unfitted domain methods on parameterized geometries

Coordinate parameterisation and spectral method optimisation for Beltrami field solver in stellarator geometry

Better Patch Stitching for Parametric Surface Reconstruction

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Multiresponse modeling of variably saturated flow and isotope tracer transport for a hillslope experiment at the Landscape Evolution Observatory

Parameterized Systems in BIP: Design and Model Checking

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

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Coordinate parameterisation and spectral method optimisation for Beltrami field solver in stellarator geometry

Reduced order modelling of nonaffine problems on parameterized NURBS multipatch geometries

A method and system for optimizing design, implantation, and stimulation protocols of electrodes stimulating the nervous system

Better Patch Stitching for Parametric Surface Reconstruction

MATHICSE Technical Report : Automatic reduction of PDEs defined on domains with variable shape

Parameterized Systems in BIP: Design and Model Checking

Multiresponse modeling of variably saturated flow and isotope tracer transport for a hillslope experiment at the Landscape Evolution Observatory

Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

MATHICSE Technical Report : Efficient model reduction of parametrized systems by matrix discrete empirical interpolation

A localized reduced basis approach for unfitted domain methods on parameterized geometries