Concepedia

Galerkin spectral approximations for optimal control problems governed by the fourth order equation with an integral constraint on state

Jianwei Zhou, Juan Zhang, Xiaoqing Xing

Computers & Mathematics with Applications · 2016 · 29 citations · 29 references

DOI

Concepts

References

29

Optimal Control of Systems Governed by Partial Differential Equations.

David L. Russell, J. L. Lions, Sanjoy K. Mitter · American Mathematical Monthly · 1972 · 3K citations

, , +11

Spectral Methods In Fluid Dynamics

M. Yousuff Hussaini · Annual Review of Fluid Mechanics · 1987 · 2.4K citations

, , +17

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials

Jie Shen · SIAM Journal on Scientific Computing · 1994 · 624 citations

, , +12

Adaptive Finite Element Methods for Optimal Control of Partial Differential Equations: Basic Concept

Roland Becker, Hartmut Kapp, Rolf Rannacher · SIAM Journal on Control and Optimization · 2000 · 320 citations

, , +16

Error Estimates for the Numerical Approximation of a Semilinear Elliptic Control Problem

Nadir Arada, Eduardo Casas, Fredi Tröltzsch · Computational Optimization and Applications · 2002 · 259 citations