### Abstract

We characterize both the continuous and finite element approximate solution of noncoercive Hamilton-Jacobi-Bellman equation as fixed points of contractions. We also derive L^{∞}-error estimate of the approximation.

Original language | English |
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Pages (from-to) | 261-269 |

Number of pages | 9 |

Journal | Applied Mathematics and Information Sciences |

Volume | 4 |

Issue number | 2 |

Publication status | Published - 2010 |

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### Keywords

- Contraction
- Error estimate
- Finite element
- HJB equations

### ASJC Scopus subject areas

- Applied Mathematics
- Numerical Analysis
- Analysis
- Computer Science Applications
- Computational Theory and Mathematics