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HIGH-ACCURACY FINITE ELEMENT METHOD FOR OPTIMAL CONTROL PROBLEM

Yan Ningning

Open publisher page 11 citations

Abstract

This paper aims to present a high accuracy approximation and superconvergence for the distributed convex optimal control problem. In the basis of integral identity technique, we discuss the superconvergence of the rectangular finite element and the uniform triangular finite element for the optimal control problem. Using interpolation postprocessing technique, we construct a high accuracy finite element approximation scheme. The numerical examples demonstrating these results airs also presented.

About this research paper

What this paper is about

This paper aims to present a high accuracy approximation and superconvergence for the distributed convex optimal control problem. In the basis of integral identity technique, we discuss the superconvergence of the rectangular finite element and the uniform triangular finite element for the optimal control problem. Using interpolation postprocessing technique, we construct a high accuracy finite element approximation scheme. The numerical examples demonstrating these results airs also presented.

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OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

This paper aims to present a high accuracy approximation and superconvergence for the distributed convex optimal control problem. In the basis of integral identity technique, we discuss the superconvergence of the rectangular finite element and the uniform triangular finite element for the optimal control problem. Using interpolation postprocessing technique, we construct a high accuracy finite element approximation scheme. The numerical examples demonstrating these results airs also presented.

Key concepts: Superconvergence, Finite element method, Interpolation (computer graphics), Mathematics, Optimal control, Mixed finite element method, Scheme (mathematics), Mathematical optimization

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