Meshfree Finite Volume Element Method for Constrained Optimal Control Problem Governed by Random Convection Diffusion Equations

DOI10.4208/cmr.2020-0008zbMath1463.65264OpenAlexW3032386066MaRDI QIDQ5142971

Liang Ge, Wan-fang Shen, Wen-bin Liu

Publication date: 14 January 2021

Published in: Communications in Mathematical Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cmr.2020-0008

zbMATH Keywords

radial basis functionsoptimal control problemmeshfree methodfinite volume elementstochastic convection diffusion equations

Mathematics Subject Classification ID

Optimal stochastic control (93E20) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Existence theories for optimal control problems involving partial differential equations (49J20) Existence of optimal solutions to problems involving randomness (49J55) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Stochastic collocation for optimal control problems with stochastic PDE constraints by meshless techniques ⋮ Finite volume element method for nonlinear elliptic equations on quadrilateral meshes

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