PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

DOI10.4208/NMTMA.OA-2019-0088zbMath1463.65379OpenAlexW3012541606MaRDI QIDQ5143962

Quanxiang Wang, Enlai Zheng, Zhiyue Zhang

Publication date: 14 January 2021

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.oa-2019-0088

zbMATH Keywords

interface preconditioners fast solver immersed finite element method elliptic optimal control

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Existence theories for optimal control problems involving partial differential equations (49J20) Preconditioners for iterative methods (65F08)

Related Items (5)

Nonconforming immersed finite element method for solving elliptic optimal control problems with interfaces ⋮ Two-Grid Immersed Finite Volume Element Methods for Semi-Linear Elliptic Interface Problems with Non-Homogeneous Jump Conditions ⋮ Numerical approximation based on immersed finite element method for elliptic interface optimal control problem ⋮ An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and its Application to DLM/FD Method for Elliptic Interface Problems ⋮ Bilinear immersed finite volume element method for solving matrix coefficient elliptic interface problems with non-homogeneous jump conditions

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