Rough polyharmonic splines method for optimal control problem governed by parabolic systems with rough coefficient
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Publication:2192542
DOI10.1016/j.camwa.2020.03.001zbMath1445.49013OpenAlexW3015490057MaRDI QIDQ2192542
Jiao-Yan Zeng, Guichang Liu, Yanping Chen
Publication date: 17 August 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2020.03.001
parabolic systemsoptimal control problemmultiscale finite element methodrough coefficientsrough polyharmonic splines
Numerical computation using splines (65D07) Optimality conditions for problems involving partial differential equations (49K20) Numerical methods in optimal control (49M99)
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Cites Work
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- Generalized multiscale finite element methods (GMsFEM)
- Generalized multiscale finite-element method (GMsFEM) for elastic wave propagation in heterogeneous, anisotropic media
- Approximation of a class of optimal control problems with order of convergence estimates
- A multiscale finite element method for elliptic problems in composite materials and porous media
- A posteriori error estimates for optimal control problems governed by parabolic equations
- A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients
- Multiscale Asymptotic Analysis and Computation of Optimal Control for Elliptic Systems with Constraints
- Polyharmonic homogenization, rough polyharmonic splines and sparse super-localization
- Analysis of the heterogeneous multiscale method for elliptic homogenization problems
- Localization of elliptic multiscale problems
- Superconvergence of mixed finite element methods for optimal control problems
- On the approximation of the solution of an optimal control problem governed by an elliptic equation
- Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
- A mixed multiscale finite element method for elliptic problems with oscillating coefficients
- A Multiscale Approach for Optimal Control Problems of Linear Parabolic Equations
- Can a finite element method perform arbitrarily badly?
- ASYMPTOTIC EXPANSION AND CONVERGENCE THEOREM OF CONTROL AND OBSERVATION ON THE BOUNDARY FOR SECOND-ORDER ELLIPTIC EQUATION WITH HIGHLY OSCILLATORY COEFFICIENTS
- Heterogeneous Multiscale Method for Optimal Control Problem Governed by Elliptic Equations with Highly Oscillatory Coefficients
- Numerical Methods for Constrained Elliptic Optimal Control Problems with Rapidly Oscillating Coefficients
