Close Search Advanced
Journals
Resources
About Us
Open Access

An EDG Method for Distributed Optimal Control of Elliptic PDEs

An EDG Method for Distributed Optimal Control of Elliptic PDEs
Preview
Add to basket

Year:    2018

Author:    Xiao Zhang, Yangwen Zhang, John Singler

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 797–818

Abstract

We consider a distributed optimal control problem governed by an elliptic PDE, and propose an embedded discontinuous Galerkin (EDG) method to approximate the solution. We derive optimal a priori error estimates for the state, dual state, and the optimal control, and suboptimal estimates for the fluxes. We present numerical experiments to confirm our theoretical results.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2017-0223

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 4 : pp. 797–818

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Distributed optimal control elliptic PDEs embedded discontinuous Galerkin method error analysis.

Author Details

Xiao Zhang

Yangwen Zhang

John Singler

  1. A locking-free stabilized embedded discontinuous Galerkin method for linear elasticity with strong symmetric stress and continuous displacement trace approximation

    Chen, Gang | Xie, Xiaoping | Xu, Youcai | Zhang, Yangwen

    Computers & Mathematics with Applications, Vol. 134 (2023), Iss. P.66

    https://doi.org/10.1016/j.camwa.2022.12.017 [Citations: 1]

  2. A conjugate gradient method for distributed optimal control problems with nonhomogeneous Helmholtz equation

    Zhang, Zemian | Chen, Xuesong

    Applied Mathematics and Computation, Vol. 402 (2021), Iss. P.126019

    https://doi.org/10.1016/j.amc.2021.126019 [Citations: 2]

  3. A Class of Embedded DG Methods for Dirichlet Boundary Control of Convection Diffusion PDEs

    Chen, Gang | Fu, Guosheng | Singler, John R. | Zhang, Yangwen

    Journal of Scientific Computing, Vol. 81 (2019), Iss. 2 P.623

    https://doi.org/10.1007/s10915-019-01043-9 [Citations: 5]

  4. Homogeneous multigrid for embedded discontinuous Galerkin methods

    Lu, Peipei | Rupp, Andreas | Kanschat, Guido

    BIT Numerical Mathematics, Vol. 62 (2022), Iss. 3 P.1029

    https://doi.org/10.1007/s10543-021-00902-y [Citations: 1]