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Numerical Analysis of Fourier Finite Volume Element Method for Dirichlet Boundary Optimal Control Problems Governed by Elliptic PDEs on Complex Connected Domains

open access: yesMathematics, 2022
In this research, we investigate an optimal control problem governed by elliptic PDEs with Dirichlet boundary conditions on complex connected domains, which can be utilized to model the cooling process of concrete dam pouring. A new convergence result for two-dimensional Dirichlet boundary control is proven with the Fourier finite volume element method.
Mengya Su, Liuqing Xie, Zhiyue Zhang
openaire   +2 more sources

Fast automated adjoints for spectral PDE solvers. [PDF]

open access: yesProc Natl Acad Sci U S A
Skene CS, Burns KJ.
europepmc   +1 more source

Partial differential equations in data science. [PDF]

open access: yesPhilos Trans A Math Phys Eng Sci
Bertozzi AL   +3 more
europepmc   +1 more source

Learning image derived PDE-phenotypes from fMRI data. [PDF]

open access: yesBrain Inform
Bica I   +5 more
europepmc   +1 more source

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