A Crank-Nicholson Domain Decomposition Method for Optimal Control Problem of Parabolic Partial Differential Equation

DOI10.1007/978-3-319-93873-8_14zbMath1443.65186OpenAlexW2907106410MaRDI QIDQ5114534

Danping Yang, Jixin Chen

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_14

zbMATH Keywords

finite elementsoptimal control problemparabolic partial differential equationCrank-Nicholson domain decomposition method

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Second-order parabolic equations (35K10)

Cites Work

• Parallel D-D type domain decomposition algorithm for optimal control problem governed by parabolic partial differential equation
• Parallel domain decomposition procedures of improved D-D type for parabolic problems
• Galerkin domain decomposition procedures for parabolic equations on rectangular domain
• Explicit/Implicit Conservative Galerkin Domain Decomposition Procedures for Parabolic Problems

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