Adjoint methods for obstacle problems and weakly coupled systems of PDE

Filippo Cagnetti; Diogo Gomes; Hung Vinh Tran

doi:10.1051/cocv/2012032

Adjoint methods for obstacle problems and weakly coupled systems of PDE

Filippo Cagnetti, Diogo Gomes, Hung Vinh Tran

Computer, Electrical and Mathematical Sciences and Engineering

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton - Jacobi equations, and weakly coupled systems of obstacle type. In particular, new results about the speed of convergence of some approximation procedures are derived.

Original language	English (US)
Pages (from-to)	754-779
Number of pages	26
Journal	ESAIM - Control, Optimisation and Calculus of Variations
Volume	19
Issue number	3
DOIs	https://doi.org/10.1051/cocv/2012032
State	Published - Jul 2013

Keywords

Adjoint methods
Cell problems
Hamilton - Jacobi equations
Obstacle problems
Weak KAM theory
Weakly coupled systems

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Computational Mathematics

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10.1051/cocv/2012032

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title = "Adjoint methods for obstacle problems and weakly coupled systems of PDE",

abstract = "The adjoint method, recently introduced by Evans, is used to study obstacle problems, weakly coupled systems, cell problems for weakly coupled systems of Hamilton - Jacobi equations, and weakly coupled systems of obstacle type. In particular, new results about the speed of convergence of some approximation procedures are derived.",

keywords = "Adjoint methods, Cell problems, Hamilton - Jacobi equations, Obstacle problems, Weak KAM theory, Weakly coupled systems",

author = "Filippo Cagnetti and Diogo Gomes and Tran, {Hung Vinh}",

year = "2013",

month = jul,

doi = "10.1051/cocv/2012032",

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AU - Cagnetti, Filippo

AU - Gomes, Diogo

AU - Tran, Hung Vinh

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KW - Cell problems

KW - Hamilton - Jacobi equations

KW - Obstacle problems

KW - Weak KAM theory

KW - Weakly coupled systems

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JO - ESAIM - Control, Optimisation and Calculus of Variations

JF - ESAIM - Control, Optimisation and Calculus of Variations

IS - 3

ER -

Adjoint methods for obstacle problems and weakly coupled systems of PDE

Abstract

Keywords

ASJC Scopus subject areas

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