Domain Decomposition of an Optimal Control Problem for Semi-Linear Elliptic Equations on Metric Graphs with Application to Gas Networks

Applied Mathematics

ISSN Print: 2152-7385
ISSN Online: 2152-7393
www.scirp.org/journal/am
E-mail: am@scirp.org

Google-based Impact Factor: 0.96
Citations

Journals Menu

"Domain Decomposition of an Optimal Control Problem for Semi-Linear Elliptic Equations on Metric Graphs with Application to Gas Networks"
written by Günter Leugering,
published by Applied Mathematics, Vol.8 No.8, 2017

has been cited by the following article(s):

Google Scholar
CrossRef

[1]	Neumann-Neumann type domain decomposition of elliptic problems on metric graphs
	arXiv preprint arXiv:2402.05707, 2024

[2]	A collocation method for time‐fractional diffusion equation on a metric star graph with η η edges
	Mathematical Methods in the Applied Sciences, 2023

[3]	A comparison of PINN approaches for drift-diffusion equations on metric graphs
	arXiv preprint arXiv …, 2022

[4]	Stability and Convergence of a Randomized Model Predictive Control Strategy
	arXiv preprint arXiv:2211.05463, 2022

[5]	Null Controllability of Networks Systems
	Journal of Dynamical and Control …, 2022

[6]	Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: A study of fractional …
	2021

[7]	Generalization of the Riemann method for the trunk gas pipelines considering the quadratic law of resistance
	2021

[8]	Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge: A study of fractional calculus on …
	… & Heterogeneous Media, 2021

[9]	Fractional optimal control problems on a star graph: Optimality system and numerical solution.
	Mathematical Control & …, 2021

[10]	Industrial Applications of Optimal Control for Partial Differential Equations on Networks: Reduction and Decomposition Methods Applied to the Discrete–Continuous …
	2020

[11]	A difference scheme for the time-fractional diffusion equation on a metric star graph
	2020

[12]	Fractional optimal control problems on a star graph: Optimality system and numerical solution
	2019

[13]	Analytical and Algebraic Approaches to Gas Transportation with Uncertain Loads
	Dissertation, 2018

[14]	Nonoverlapping Domain Decomposition for Optimal Control Problems governed by Semilinear Models for Gas Flow in Networks
	2017

[1]	A collocation method for time‐fractional diffusion equation on a metric star graph with η$$ \eta $$ edges Mathematical Methods in the Applied Sciences, 2023 DOI:10.1002/mma.9023

[2]	Null Controllability of Networks Systems Journal of Dynamical and Control Systems, 2023 DOI:10.1007/s10883-022-09623-z

[3]	A collocation method for time‐fractional diffusion equation on a metric star graph with η$$ \eta $$ edges Mathematical Methods in the Applied Sciences, 2023 DOI:10.1002/mma.9023

[4]	A collocation method for time‐fractional diffusion equation on a metric star graph with η$$ \eta $$ edges Mathematical Methods in the Applied Sciences, 2023 DOI:10.1002/mma.9023

[5]	Null Controllability of Networks Systems Journal of Dynamical and Control Systems, 2022 DOI:10.1007/s10883-022-09623-z

[6]	Existence results and stability analysis for a nonlinear fractional boundary value problem on a circular ring with an attached edge : A study of fractional calculus on metric graph Networks & Heterogeneous Media, 2021 DOI:10.3934/nhm.2021003

[7]	Generalization of the Riemann method for the trunk gas pipelines considering the quadratic law of resistance E3S Web of Conferences, 2021 DOI:10.1051/e3sconf/202126401013

[8]	A difference scheme for the time-fractional diffusion equation on a metric star graph Applied Numerical Mathematics, 2020 DOI:10.1016/j.apnum.2020.07.022

	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Applied Mathematics

Applied Mathematics

Journals Menu

Home

About SCIRP

Service

Policies