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Mathematics > Numerical Analysis

arXiv:2310.01373 (math)
[Submitted on 2 Oct 2023]

Title:Weak Galerkin Finite Element Methods for Optimal Control Problems Governed by Second Order Elliptic Partial Differential Equations

Authors:Chunmei Wang, Junping Wang, Shangyou Zhang
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Abstract:This paper is concerned with the development of weak Galerkin (WG) finite element method for optimal control problems governed by second order elliptic partial differential equations (PDEs). It is advantageous to use discontinuous finite elements over the traditional $C^1$ finite elements here. Optimal order error estimates are established and confirmed by some numerical tests.
Comments: 23 pages, 3 figures, 5 tables. arXiv admin note: substantial text overlap with arXiv:1806.01583
Subjects: Numerical Analysis (math.NA)
MSC classes: 65N30, 65N15, 65N12, 65N20
Cite as: arXiv:2310.01373 [math.NA]
  (or arXiv:2310.01373v1 [math.NA] for this version)
  https://doi.org/10.48550/arXiv.2310.01373

Submission history

From: Chunmei Wang [view email]
[v1] Mon, 2 Oct 2023 17:37:52 UTC (414 KB)
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