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arXiv · 1712.10106

An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs

Xiao Zhang·Yangwen Zhang·John R. Singler
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Abstract

We propose an embedded discontinuous Galerkin (EDG) method to approximate the solution of a distributed control problem governed by convection diffusion PDEs, and obtain optimal a priori error estimates for the state, dual state, their fluxes, and the control. Moreover, we prove the optimize-then-discretize (OD) and discrtize-then-optimize (DO) approaches coincide. Numerical results confirm our theoretical results.

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Xiao Zhang, Yangwen Zhang, John R. Singler. 2017-12-29. An Optimal EDG Method for Distributed Control of Convection Diffusion PDEs. https://arxiv.org/abs/1712.10106

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