ESAIM Proceedings and Surveys最新文献_第2页

Pressure relaxation in some multiphase flow models 某些多相流模型的压力松弛

ESAIM Proceedings and Surveys Pub Date : 2023-01-01 DOI: 10.1051/proc/202372019

J. Hérard, Guillaume Jomée

引用次数: 0

Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena 通过汉密尔顿原理推导出一种新的浅水模型，该模型使用颜色函数对部分润湿现象进行宏观描述

ESAIM Proceedings and Surveys Pub Date : 2023-01-01 DOI: 10.1051/proc/202372064

B. Delacroix, M. Bouyges, Ghislain Blanchard, C. Laurent, P. Villedieu

{"title":"Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena","authors":"B. Delacroix, M. Bouyges, Ghislain Blanchard, C. Laurent, P. Villedieu","doi":"10.1051/proc/202372064","DOIUrl":"https://doi.org/10.1051/proc/202372064","url":null,"abstract":"This paper presents a new shallow-water type model suitable for the simulation of partially wetting liquid films without the need for very fine resolution of the contact line phenomena, which is particularly suitable for industrial applications. This model is based on the introduction of a color function, propagated at the averaged velocity of the bulk flow, and equal to one where there is a liquid film and zero in the dry zone, which implies a non zero gradient only at the interface. This approach has the advantage of easily locating the interface, allowing to model macroscopically the forces acting at the contact line, which is essential for the simulation of partial wetting phenomena. The formal derivation of this model is based on the principle of least action known as Hamilton's principle. Here this principle is applied in a full Eulerian form to derive the complete system of equations with the color function. This method proves to be particularly suitable for this type of development and as an illustration it is also applied to recover another model proposed by Lallement et al. [39, 73]. Finally, both models are compared from a theoretical point of view and the advantages of the new color function based model are discussed.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73206753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A component-based data assimilation strategy with applications to vascular flows 基于组件的数据同化策略及其在血管流动中的应用

ESAIM Proceedings and Surveys Pub Date : 2023-01-01 DOI: 10.1051/proc/202373089

D. Bui, P. Mollo, F. Nobile, T. Taddei

{"title":"A component-based data assimilation strategy with applications to vascular flows","authors":"D. Bui, P. Mollo, F. Nobile, T. Taddei","doi":"10.1051/proc/202373089","DOIUrl":"https://doi.org/10.1051/proc/202373089","url":null,"abstract":"We present a parameterized-background data-weak (PBDW) approach [Y Maday, AT Patera, JD Penn, M Yano, Int J Numer Meth Eng, 102(5), 933–965] to the steady-state variational data assimilation (DA) problem for systems modeled by partial differential equations (PDEs) and characterized by multiple interconnected components, with emphasis on vascular flows. We focus on the problem of reconstructing the state of the system in one specific component, based on local measurements. The PBDW approach does not require the solution of any PDE model at prediction stage (projection-by-data) and, as such, enables local state estimates on single components, as long as good background and update spaces for the estimation can be constructed. We discuss the application of PBDW to a two-dimensional steady Navier-Stokes problem for a family of parameterized geometries, and investigate instead the effects of enforcing no-slip boundary conditions and incompressibility constraints on the background and update spaces to enhance the state estimation. Furthermore, we show an actionable strategy to train local reduced-order bases (ROBs) for the background space that can later be used for DA tasks.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90292542","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Hard-congestion limit of the p-system in the BV setting BV设置下p系统的硬拥塞限制

ESAIM Proceedings and Surveys Pub Date : 2022-11-16 DOI: 10.1051/proc/202372041

F. Ancona, Roberta Bianchini, C. Perrin

引用次数: 0

Direct and indirect methods to optimize the muscular force response to a pulse train of electrical stimulation 直接和间接的方法，以优化肌肉力量的反应脉冲序列的电刺激

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171101

T. Bakir, B. Bonnard, L. Bourdin, J. Rouot

引用次数: 1

Sensitivity of the “intermediate point” in the mean value theorem: an approach via the Legendre-Fenchel transformation 中值定理中“中间点”的灵敏度:一种基于legende - fenchel变换的方法

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171114

J. Hiriart-Urruty

引用次数: 1

Survey of sequential convex programming and generalized Gauss-Newton methods 序贯凸规划与广义高斯-牛顿方法综述

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171107

F. Messerer, Katrin Baumgärtner, M. Diehl

{"title":"Survey of sequential convex programming and generalized Gauss-Newton methods","authors":"F. Messerer, Katrin Baumgärtner, M. Diehl","doi":"10.1051/proc/202171107","DOIUrl":"https://doi.org/10.1051/proc/202171107","url":null,"abstract":"We provide an overview of a class of iterative convex approximation methods for nonlinear optimization problems with convex-over-nonlinear substructure. These problems are characterized by outer convexities on the one hand, and nonlinear, generally nonconvex, but differentiable functions on the other hand. All methods from this class use only first order derivatives of the nonlinear functions and sequentially solve convex optimization problems. All of them are different generalizations of the classical Gauss-Newton (GN) method. We focus on the smooth constrained case and on three methods to address it: Sequential Convex Programming (SCP), Sequential Convex Quadratic Programming (SCQP), and Sequential Quadratically Constrained Quadratic Programming (SQCQP). While the first two methods were previously known, the last is newly proposed and investigated in this paper. We show under mild assumptions that SCP, SCQP and SQCQP have exactly the same local linear convergence – or divergence – rate. We then discuss the special case in which the solution is fully determined by the active constraints, and show that for this case the KKT conditions are sufficient for local optimality and that SCP, SCQP and SQCQP even converge quadratically. In the context of parameter estimation with symmetric convex loss functions, the possible divergence of the methods can in fact be an advantage that helps them to avoid some undesirable local minima: generalizing existing results, we show that the presented methods converge to a local minimum if and only if this local minimum is stable against a mirroring operation applied to the measurement data of the estimation problem. All results are illustrated by numerical experiments on a tutorial example.","PeriodicalId":53260,"journal":{"name":"ESAIM Proceedings and Surveys","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91079575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 28

Box-constrained optimization for minimax supervised learning 极大极小监督学习的盒约束优化

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171109

Cyprien Gilet, Susana Barbosa, L. Fillatre

引用次数: 0

Discrete hotelling pure location games: potentials and equilibria 离散旅馆纯位置对策:潜能与均衡

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171163

Takuya Iimura, P. Mouche

引用次数: 1

Prioritized optimization by Nash games : towards an adaptive multi-objective strategy 纳什博弈的优先优化:面向自适应多目标策略

ESAIM Proceedings and Surveys Pub Date : 2021-08-01 DOI: 10.1051/proc/202171106

J. Désidéri, R. Duvigneau

引用次数: 0