Project-team OPALE Optimization and control, numerical algorithms and integration of complex multidisciplinary systems governed by PDEs Jean-Antoine DESIDERI Project-team OPALE INRIA Sophia-Antipolis Méditerranée and Rhône-Alpes Scientific Themes Optimization and control, numerical algorithms and integration Personnel of complex multidisciplinary systems governed by PDEs Main achievements Objective 1: Numerical methods for simulation and shape optimization Jean-Antoine DESIDERI Objective 2: Mathematical analysis of geometrical optimization Objective 3: Computing environments INRIA Sophia-Antipolis Méditerranée and Rhône-Alpes Objective 4: Application of shape and topology design to biology and medecine Objectives for the next four years Objective 1: Numerical methods for simulation and shape optimization NumD Evaluation Seminar, Paris, March 17-19, 2009 Objective 2: Mathematical analysis of geometrical optimization Objective 3: Computing environments Objective 4: Cell and Tissue Dynamics Positioning w.r.t. INRIA’s priorities
Project-team OPALE Optimization and control, numerical algorithms and Overview integration of complex multidisciplinary systems governed by PDEs Scientific Themes 1 Jean-Antoine DESIDERI INRIA Sophia-Antipolis Personnel 2 Méditerranée and Rhône-Alpes 3 Main achievements Scientific Themes Objective 1: Numerical methods for simulation and shape Personnel optimization Main achievements Objective 2: Mathematical analysis of geometrical optimization Objective 1: Numerical methods for simulation and shape optimization Objective 3: Computing environments Objective 2: Mathematical analysis of geometrical optimization Objective 4: Application of shape and topology design to Objective 3: Computing environments biology and medecine Objective 4: Application of shape and topology design to biology and medecine Objectives for the next four years 4 Objectives for the next four Objective 1: Numerical methods for simulation and shape years Objective 1: Numerical methods for optimization simulation and shape optimization Objective 2: Mathematical analysis Objective 2: Mathematical analysis of geometrical optimization of geometrical optimization Objective 3: Computing Objective 3: Computing environments environments Objective 4: Cell and Tissue Objective 4: Cell and Tissue Dynamics Dynamics Positioning w.r.t. INRIA’s Positioning w.r.t. INRIA’s priorities 5 priorities
Project-team OPALE Optimization and control, numerical algorithms and Overview integration of complex multidisciplinary systems governed by PDEs Scientific Themes 1 Jean-Antoine DESIDERI INRIA Sophia-Antipolis Personnel 2 Méditerranée and Rhône-Alpes 3 Main achievements Scientific Themes Objective 1: Numerical methods for simulation and shape Personnel optimization Main achievements Objective 2: Mathematical analysis of geometrical optimization Objective 1: Numerical methods for simulation and shape optimization Objective 3: Computing environments Objective 2: Mathematical analysis of geometrical optimization Objective 4: Application of shape and topology design to Objective 3: Computing environments biology and medecine Objective 4: Application of shape and topology design to biology and medecine Objectives for the next four years 4 Objectives for the next four Objective 1: Numerical methods for simulation and shape years Objective 1: Numerical methods for optimization simulation and shape optimization Objective 2: Mathematical analysis Objective 2: Mathematical analysis of geometrical optimization of geometrical optimization Objective 3: Computing Objective 3: Computing environments environments Objective 4: Cell and Tissue Objective 4: Cell and Tissue Dynamics Dynamics Positioning w.r.t. INRIA’s Positioning w.r.t. INRIA’s priorities 5 priorities
Project-team OPALE Optimization and control, numerical algorithms and Scientific Themes, Ambitions (1) integration of complex multidisciplinary systems governed by PDEs Jean-Antoine DESIDERI Project-Team created in 2002 by INRIA Sophia-Antipolis Méditerranée and J.-A. D ESIDERI (INRIA S OPHIA A NTIPOLIS ) Rhône-Alpes A. H ABBAL (UNSA) Scientific Themes T. N GUYEN (INRIA G RENOBLE ) Personnel J.-P. Z OLESIO (CNRS S OPHIA A NTIPOLIS ) Main achievements Objective 1: Numerical methods for simulation and shape optimization Objective 2: Mathematical analysis of geometrical optimization Numerical Optimization of PDE systems Objective 3: Computing environments M OSTLY (= NOT EXCLUSIVELY ) D ESIDERI +D UVIGNEAU Objective 4: Application of shape and topology design to biology and medecine • Develop, analyze and experiment numerical methods for Objectives for the next four years PDE-constrained optimization, and in particular optimum-shape design in complex Objective 1: Numerical methods for simulation and shape optimization scientific applications Objective 2: Mathematical analysis of geometrical optimization • Multi-disciplinary context: Computational Fluid Dynamics (CFD), Objective 3: Computing environments Electromagnetics (CEM), Structural Mechanics (CSM), Biology, and couplings Objective 4: Cell and Tissue Dynamics Positioning w.r.t. INRIA’s priorities
Project-team OPALE Optimization and control, numerical algorithms and Scientific Themes, Ambitions (2) integration of complex multidisciplinary systems governed by PDEs Jean-Antoine DESIDERI INRIA Sophia-Antipolis Mathematical analysis of geometrical optimization Méditerranée and Rhône-Alpes M OSTLY Z OLESIO AND C O . Scientific Themes • Main themes: Personnel • Large evolution of geometry Main achievements • Transverse field analysis Objective 1: Numerical methods for • Shape stabilization for wave equn. in moving domain simulation and shape optimization • Tube analysis and geodesics in relation to Topological Evolution Objective 2: Mathematical analysis of geometrical optimization Objective 3: Computing environments • Main applications: • Objective 4: Application of shape and topology design to biology and • Electromagnetics medecine • Fluid-structure interaction Objectives for the next four years Objective 1: Numerical methods for • Foundations: simulation and shape optimization • Objective 2: Mathematical analysis • Shapes and Geometries , Delfour-Zolésio, SIAM of geometrical optimization • Zolésio-Sokolowski Objective 3: Computing environments • Cagnol-Zolésio Objective 4: Cell and Tissue Dynamics Positioning w.r.t. INRIA’s priorities
Project-team OPALE Optimization and control, numerical algorithms and Scientific Themes, Ambitions (3) integration of complex multidisciplinary systems governed by PDEs Jean-Antoine DESIDERI INRIA Sophia-Antipolis Méditerranée and Rhône-Alpes Computing Environments Scientific Themes M OSTLY N GUYEN AND C O . Personnel Main achievements • Scientific objectives • Objective 1: Numerical methods for simulation and shape optimization • High performance computing Objective 2: Mathematical analysis • Problem solving environments of geometrical optimization • Coupling distributed, parallel, heterogeneous codes Objective 3: Computing environments • Uptake in large-scale multidiscipline applications Objective 4: Application of shape and topology design to biology and medecine • Targeted technologies • Objectives for the next four years • Collaborative integration platforms Objective 1: Numerical methods for • Distributed high-performance problem solving simulation and shape optimization Objective 2: Mathematical analysis of geometrical optimization Objective 3: Computing environments Objective 4: Cell and Tissue Dynamics Positioning w.r.t. INRIA’s priorities
Project-team OPALE Optimization and control, numerical algorithms and Scientific Themes, Ambitions (4) integration of complex multidisciplinary systems governed by PDEs Jean-Antoine DESIDERI INRIA Sophia-Antipolis Méditerranée and Rhône-Alpes Application of shape and topology design to biology and Scientific Themes medecine Personnel M OSTLY H ABBAL AND C O . Main achievements Objective 1: Numerical methods for simulation and shape optimization • Main objective • Objective 2: Mathematical analysis of geometrical optimization • Model biological phenomena with mathematical tools in narrow relation with shape Objective 3: Computing and topological optimization theory environments Objective 4: Application of shape and topology design to biology and medecine • Domains under study • Objectives for the next four • Anti-angiogenesis years • Wound healing Objective 1: Numerical methods for simulation and shape optimization Objective 2: Mathematical analysis of geometrical optimization Objective 3: Computing environments Objective 4: Cell and Tissue Dynamics Positioning w.r.t. INRIA’s priorities
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