Search

Your search keyword '"Inzunza, Daniel"' showing total 11 results
Start Over Author "Inzunza, Daniel"
11 results on '"Inzunza, Daniel"'

1. Numerical Comparison of Nonlocal Macroscopic Models of Multi-population Pedestrian Flows with Anisotropic Kernel

Author

Goatin, Paola, Inzunza, Daniel, Villada, Luis Miguel, Castro, Carlos, Editor-in-Chief, Formaggia, Luca, Editor-in-Chief, Groppi, Maria, Series Editor, Larson, Mats G., Series Editor, Lopez Fernandez, Maria, Series Editor, Morales de Luna, Tomás, Series Editor, Pareschi, Lorenzo, Series Editor, Vázquez-Cendón, Elena, Series Editor, Zunino, Paolo, Series Editor, Parés, Carlos, editor, Castro, Manuel J., editor, and Muñoz-Ruiz, María Luz, editor

Published
2024
Full Text
View/download PDF

2. Displacement-pseudostress formulation for the linear elasticity spectral problem

Author

Inzunza, Daniel, Lepe, Felipe, and Rivera, Gonzalo

Subjects
Mathematics - Numerical Analysis
Abstract

In this paper we analyze a mixed displacement-pseudostress formulation for the elasticity eigenvalue problem. We propose a finite element method to approximate the pseudostress tensor with Raviart-Thomas elements and the displacement with piecewise polynomials. With the aid of the classic theory for compact operators, we prove that our method is convergent and does not introduce spurious modes. Also, we obtain error estimates for the proposed method. Finally, we report some numerical tests supporting the theoretical results.

Published
2021

4. Numerical comparison of nonlocal macroscopic models of multi-population pedestrian flows with anisotropic kernel

Author

Goatin, Paola, Inzunza, Daniel, Villada, Luis Miguel, Analysis and Control of Unsteady Models for Engineering Sciences (ACUMES), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Laboratoire Jean Alexandre Dieudonné (LJAD), Université Nice Sophia Antipolis (1965 - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA), Université Côte d'Azur (UCA), Universidad del Bio Bio [Concepción] (UBB), Centro de Investigación en Ingeniería Matemática [Concepción] (CI²MA), Universidad de Concepción - University of Concepcion [Chile], Inria Associated Team 'NOLOCO - Efficient numerical schemes for non-local transport phenomena' (2018-2022), MATH-Amsud 22-MATH-05 'NOTION - NOn-local conservaTION laws for engineering, biological and epidemiological applications: theoretical and numerical' (2022-2023), and ANR-19-P3IA-0002,3IA@cote d'azur,3IA Côte d'Azur(2019)

Subjects
[MATH]Mathematics [math]
Abstract

We propose three variants of a nonlocal macroscopic pedestrian flow model accounting for anisotropic interactions between different groups and including the presence of walls or other obstacles in the walking domain. We compare the solutions behaviour in the case of bi-directional flows and othogonally crossing flows by numerical simulation based on high order finite difference schemes.

Published
2023

6. Displacement‐pseudostress formulation for the linear elasticity spectral problem.

Author

Inzunza, Daniel, Lepe, Felipe, and Rivera, Gonzalo

Subjects
*ELASTICITY, *COMPACT operators, *FINITE element method, *OPERATOR theory
Abstract

In this paper we analyze a mixed displacement‐pseudostress formulation for the elasticity eigenvalue problem. We propose a finite element method to approximate the pseudostress tensor with Raviart–Thomas elements and the displacement with piecewise polynomials. With the aid of the classic theory for compact operators, we prove that our method is convergent and does not introduce spurious modes. Error estimates for the proposed method are derived. Finally, we report some numerical tests supporting the theoretical results. [ABSTRACT FROM AUTHOR]

Published
2023
Full Text
View/download PDF

7. A non-local pedestrian flow model accounting for anisotropic interactions and domain boundaries

Author

Bürger, Raimund, Goatin, Paola, Inzunza, Daniel, Villada, Luis Miguel, Universidad de Concepción [Chile], Analysis and Control of Unsteady Models for Engineering Sciences (ACUMES), Inria Sophia Antipolis - Méditerranée (CRISAM), Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Laboratoire Jean Alexandre Dieudonné (JAD), Université Nice Sophia Antipolis (... - 2019) (UNS), COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS), Université Côte d'Azur (UCA), Universidad del Bio Bio [Concepción] (UBB), Universidad de Concepción - University of Concepcion [Chile], and Université Nice Sophia Antipolis (1965 - 2019) (UNS)

Subjects
non-local conservation laws, macroscopic pedestrian flow models, bounded domains, anisotropic interactions, high-resolution weno schemes, QA1-939, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], TP248.13-248.65, Mathematics, Biotechnology
Abstract

International audience; This study revises the non-local macroscopic pedestrian flow model proposed in [R. M. Colombo, M. Garavello, and M. Lécureux-Mercier. A class of nonlocal models for pedestrian tra c. Math. Models Methods Appl. Sci., 22(4):1150023, 34, 2012] to account for anisotropic interactions and the presence of walls or other obstacles in the walking domain. We prove the well-posedness of this extended model and we apply high-resolution numerical schemes to illustrate the model characteristics. In particular, numerical simulations highlight the role of different model parameters in the observed pattern formation.

Published
2020

Catalog

Books, media, physical & digital resources
See catalog results