Optimal L∞-error estimate of a finite element method for Hamilton-Jacobi-Bellman equations

M. Boulbrachene; P. Cortey Dumont

doi:10.1080/01630560902987683

Optimal L^∞-error estimate of a finite element method for Hamilton-Jacobi-Bellman equations

M. Boulbrachene^*, P. Cortey Dumont

^*المؤلف المقابل لهذا العمل

Mathematics

نتاج البحث: المساهمة في مجلة › Article › مراجعة النظراء

9 اقتباسات (Scopus)

ملخص

This paper is concerned with the piecewise linear finite element approximation of Hamilton-Jacobi-Bellman equations. We establish the optimal L-^∞ error estimate, combining the concepts of subsolution and discrete regularity.

اللغة الأصلية	English
الصفحات (من إلى)	421-435
عدد الصفحات	15
دورية	Numerical Functional Analysis and Optimization
مستوى الصوت	30
رقم الإصدار	5-6
المعرِّفات الرقمية للأشياء	https://doi.org/10.1080/01630560902987683
حالة النشر	Published - مايو 2009

ASJC Scopus subject areas

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الوصول إلى المستند

10.1080/01630560902987683

الملفات والروابط الأخرى

قم بذكر هذا

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title = "Optimal L∞-error estimate of a finite element method for Hamilton-Jacobi-Bellman equations",

abstract = "This paper is concerned with the piecewise linear finite element approximation of Hamilton-Jacobi-Bellman equations. We establish the optimal L-∞ error estimate, combining the concepts of subsolution and discrete regularity.",

keywords = "Error estimate, Finite element, Hamilton-Jacobi-Bellman equations, Quasivariational inequalities",

author = "M. Boulbrachene and Dumont, {P. Cortey}",

year = "2009",

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doi = "10.1080/01630560902987683",

language = "English",

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T1 - Optimal L∞-error estimate of a finite element method for Hamilton-Jacobi-Bellman equations

AU - Boulbrachene, M.

AU - Dumont, P. Cortey

PY - 2009/5

Y1 - 2009/5

N2 - This paper is concerned with the piecewise linear finite element approximation of Hamilton-Jacobi-Bellman equations. We establish the optimal L-∞ error estimate, combining the concepts of subsolution and discrete regularity.

AB - This paper is concerned with the piecewise linear finite element approximation of Hamilton-Jacobi-Bellman equations. We establish the optimal L-∞ error estimate, combining the concepts of subsolution and discrete regularity.

KW - Error estimate

KW - Finite element

KW - Hamilton-Jacobi-Bellman equations

KW - Quasivariational inequalities

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JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

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