L∞- error estimate for nonlinear HJB equations

Research output: Contribution to journalArticle

Abstract

This paper is concerned with the standard finite element approximation of Hamilton-Jacobi-Bellman Equations (HJB) with nonlinear source terms. Under a realistic condition on the nonlinearity, we characterize the discrete solution as a fixed point of a contraction. As a result of this, we also derive a sharp L∞- error estimate of the approximation.

Original languageEnglish
Pages (from-to)1255-1259
Number of pages5
JournalInternational Journal of Mathematical Analysis
Volume9
Issue number25-28
DOIs
Publication statusPublished - 2015

Fingerprint

Nonlinear Source
Hamilton-Jacobi-Bellman Equation
Source Terms
Finite Element Approximation
Error Estimates
Contraction
Nonlinear Equations
Fixed point
Nonlinearity
Approximation
Standards

Keywords

  • Contraction
  • Finite elements
  • Fixed point
  • HJB equations
  • L∞ error estimates
  • Quasi-variational inequalities

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

L∞- error estimate for nonlinear HJB equations. / Boulbrachene, Messaoud.

In: International Journal of Mathematical Analysis, Vol. 9, No. 25-28, 2015, p. 1255-1259.

Research output: Contribution to journalArticle

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