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• W2956759947 abstract "Differential equations on metric graphs can describe many phenomena in the physical world but also the spread of information on social media. To efficiently compute the solution is a hard task in numerical analysis. Solving a design problem, where the optimal setup for a desired state is given, is even more challenging. In this work, we focus on the task of solving an optimization problem subject to a differential equation on a metric graph with the control defined on a small set of Dirichlet nodes. We discuss the discretization by finite elements and provide rigorous error bounds as well as an efficient preconditioning strategy to deal with the large-scale case. We show in various examples that the method performs very robustly." @default.
• W2956759947 created "2019-07-23" @default.
• W2956759947 creator A5041353339 @default.
• W2956759947 creator A5055578402 @default.
• W2956759947 date "2019-07-17" @default.
• W2956759947 modified "2023-09-27" @default.
• W2956759947 title "Optimization of a partial differential equation on a complex network." @default.
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• W2956759947 hasPublicationYear "2019" @default.
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