Huiying Hou, Weibo Guo, Zian Wang, Tianliang Hou, Optimal a priori $L^{\infty}(J;L^2(\Omega))$-norm error estimates of a finite volume element method for pseudo-parabolic optimal control problems, Vol. 2026 (2026), No. 17, pp. 1-14

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DOI: 10.23952/jnfa.2026.17

Received February 27, 2026; Accepted June 2, 2026; Published June 27, 2026

Abstract. This paper presents a priori error analysis of finite volume element (FVE) method for linear pseudo-parabolic optimal control problems subject to integral control constraints. A novel FVE scheme is constructed based on the discretize-then-optimize approach, in which the state and co-state variables are approximated by continuous piecewise linear finite elements, while the control variable is discretized by using piecewise constant functions. Optimal a priori error estimates in the $L^{\infty}(J;L^{2}(\Omega))$ -norm for the all variables are proved.

How to Cite this Article:
H. Hou, W. Guo, Z. Wang, T. Hou, Optimal a priori $L^{\infty}(J;L^2(\Omega))$ -norm error estimates of a finite volume element method for pseudo-parabolic optimal control problems, J. Nonlinear Funct. Anal. 2026 (2026) 17.