Spectral approximation for optimal control problems governed by first bi‐harmonic equation
DOI10.1002/num.22988MaRDI QIDQ6066560
Xiuxiu Lin, Yunqing Huang, Yanping Chen
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
optimal control problema priori error estimatesspectral methods\(L^2\)-norm state constraintfirst bi-harmonic equation
Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) PDEs in connection with control and optimization (35Q93) PDE constrained optimization (numerical aspects) (49M41)
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