# Vector variational problems and applications to optimal design

ESAIM: Control, Optimisation and Calculus of Variations (2005)

- Volume: 11, Issue: 3, page 357-381
- ISSN: 1292-8119

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topPedregal, Pablo. "Vector variational problems and applications to optimal design." ESAIM: Control, Optimisation and Calculus of Variations 11.3 (2005): 357-381. <http://eudml.org/doc/244846>.

@article{Pedregal2005,

abstract = {We examine how the use of typical techniques from non-convex vector variational problems can help in understanding optimal design problems in conductivity. After describing the main ideas of the underlying analysis and providing some standard material in an attempt to make the exposition self-contained, we show how those ideas apply to a typical optimal desing problem with two different conducting materials. Then we examine the equivalent relaxed formulation to end up with a new problem whose numerical simulation leads to approximated optimal configurations. We include several such simulations in 2d and 3d.},

author = {Pedregal, Pablo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {effective; homogenized or relaxed integrand; gradient Young measures; laminates; optimal design; Young measures; relaxation},

language = {eng},

number = {3},

pages = {357-381},

publisher = {EDP-Sciences},

title = {Vector variational problems and applications to optimal design},

url = {http://eudml.org/doc/244846},

volume = {11},

year = {2005},

}

TY - JOUR

AU - Pedregal, Pablo

TI - Vector variational problems and applications to optimal design

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2005

PB - EDP-Sciences

VL - 11

IS - 3

SP - 357

EP - 381

AB - We examine how the use of typical techniques from non-convex vector variational problems can help in understanding optimal design problems in conductivity. After describing the main ideas of the underlying analysis and providing some standard material in an attempt to make the exposition self-contained, we show how those ideas apply to a typical optimal desing problem with two different conducting materials. Then we examine the equivalent relaxed formulation to end up with a new problem whose numerical simulation leads to approximated optimal configurations. We include several such simulations in 2d and 3d.

LA - eng

KW - effective; homogenized or relaxed integrand; gradient Young measures; laminates; optimal design; Young measures; relaxation

UR - http://eudml.org/doc/244846

ER -

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