Reduced Order Models for the Optimization of A Material Microstructure

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：houzi7731

【摘要】

：

　　We present an approach for the optimization of the microstructure of a material,in order to minimize its compliance.The current microstructure is modelled a

【作者】

：

LegollFrederic;

【机构】

：

ENPC

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年期

下载到本地 , 更方便阅读

下载此文赞助VIP

声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架

论文部分内容阅读

　　We present an approach for the optimization of the microstructure of a material,in order to minimize its compliance.The current microstructure is modelled as a macroscopic deformation,to be optimized upon,of a reference periodic microstructure.In this talk,we describe the approach and show how to use reduced order models to keep the computational load limited.

其他文献

Nonstandard Discontinuous Galerkin Methods for Fully Nonlinear Second Order PDEs

　　In this talk I shall present some recent developments in discontinuous Galerkin(DG)methods for fully nonlinear second order PDEs,such as the Monge-Ampere eq

会议

Simulating Steady State Solutions of Some 1D Kinetic Models

　　In this work,we investigate how well the discontinuous Galerkin discretizations can capture the steady state solutions of some one-dimensional linear kineti

会议

DG Methods for Convection-dominated Problems:Survey and Recent Developments

　　We give a short survey of high order accurate discontinuous Galerkin(DG)methods for solving convection-dominated problems.We will then review some of their

会议

A Smoothing Trust Region Filter Algorithm for Nonsmooth Least Squares Problem

　　We propose a smoothing trust region filter algorithm for nonsmooth nonconvex least squares problems.We present convergence theorems of the proposed algorith

会议

Nonlinearly Preconditioned Inexact Newton Methods and Applications

　　The classical inexact Newton algorithm is a popular technique for solving large sparse nonlinear system of equations.In this talk,we discuss some recently d

会议

Convergence Theorems for Anderson Acceleration

　　We will discuss recent results on the local convergence of Anderson Acceleration.This is an algorithm for accelerating the convergence of fixed point or Pic

会议

Recent Advances in Anderson Acceleration for Large-Scale Problems

　　Anderson acceleration has demonstrated significant benefits in accelerating fixed point solutions in a number of applications.The method,however,adds new sy

会议

An Efficient Hierachical Multiscale Finite Element Method for Stokes Equations in Slowly Varying Med

　　We develop an efficient numerical method to compute effective properties for media with varying microstructures.We achieve essentially equal accuracy to tha

会议

Recent advances in Iterative Nonlinear Solvers

　　Continued growth in the complexity of computational models has resulted in an increased demand for solution methods for nonlinear problems with characterist

会议

Cloud Based Interactive Simulations of Maxwell's Equations Using the Localized Reduced Basis Me

　　Engineers manually optimizing a structure using simulation software often employ an iterative approach where in each iteration they change the structure and

会议

Reduced Order Models for the Optimization of A Material Microstructure

其他学术论文