논문KCI 등재
Finite element approximations of the optimal control problems for stochastic Stokes equations
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Finite element approximation solutions of the optimal control problems for stochastic Stokes equations with the forcing term perturbed by white noise are considered. Error estimates are established for the fully coupled optimality system using Brezzi-Rappaz-Raviart theory. Numerical examples are also presented to examine our theoretical results.
Abstract
Finite element approximation solutions of the optimal control problems for stochastic Stokes equations with the forcing term perturbed by white noise are considered. Error estimates are established for the fully coupled optimality system using Brezzi-Rappaz-Raviart theory. Numerical examples are also presented to examine our theoretical results.
참고문헌 (28)
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관련 논문AI추천
Analysis and computations of least-squares method for optimal control problems for the Stokes equations김상동, 이형천, 최영미대한수학회 · 대한수학회지2009 · 제46권 제5호Block LU Factorization for the Coupled Stokes Equations by Spectral Element Discretization김상동, 김필수, PIAOXIANGFAN경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제4호Error estimates of mixed finite element approximations for a class of fourth order elliptic control problemsTianliang Hou대한수학회 · 대한수학회보2013 · 제50권 제4호Convergence of the Newton's method for an optimal control problems for Navier-Stokes equations김상동, 이형천, 최영미대한수학회 · 대한수학회보2011 · 제48권 제5호Error estimates of RT1 mixed methods for distributed optimal control problemsTianliang Hou대한수학회 · 대한수학회보2014 · 제51권 제1호A posteriori L∞ (L2)-error estimates of semidiscrete mixed finite element methods for hyperbolic optimal control problemsTianliang Hou대한수학회 · 대한수학회보2013 · 제50권 제1호
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