Higher-order convex approximations of Young measures in optimal control

被引：8

作者：

Matache, AM

Roubícek, T

Schwab, C

机构：

[1] Swiss Fed Inst Technol, Seminar Appl Math, CH-8092 Zurich, Switzerland

[2] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic

[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic

来源：

ADVANCES IN COMPUTATIONAL MATHEMATICS | 2003年 / 19卷 / 1-3期

关键词：

Young measures; approximation; error estimation; optimal control; elliptic systems;

D O I：

10.1023/A:1022883930432

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The general theory of approximation of ( possibly generalized) Young measures is presented, and concrete cases are investigated. An adjoint-operator approach, combined with quasi-interpolation of test integrands, is systematically used. Applicability is demonstrated on an optimal control problem for an elliptic system, together with one-dimensional illustrative calculations of various options.

引用

页码：73 / 97

页数：25

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