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2022 | OriginalPaper | Buchkapitel

2. Steady Systems of PDEs. Two Examples from Applications

verfasst von : Pablo Pedregal

Erschienen in: Mathematical and Computational Methods for Modelling, Approximation and Simulation

Verlag: Springer International Publishing

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Abstract

After some general comments on the tremendous difficulties associated with non-linear systems of PDEs, we will focus on two such illustrative situations where the underlying model depends on the highly nonlinear behavior coming from a system of PDEs. The first one is motivated by inverse problems in conductivity and the process to recover an unknown conductivity coefficient from measurements in the boundary; the second focuses on an optimal control problem for soft robots in which the underlying model comes from hyper-elasticity where the state system models the behavior of non-linear elastic materials capable of undergoing large deformations.

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Vorheriges Kapitel Mapped Polynomials and Discontinuous Kernels for Runge and Gibbs Phenomena

Nächstes Kapitel THB-Spline Approximations for Turbine Blade Design with Local B-Spline Approximations

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Titel: Steady Systems of PDEs. Two Examples from Applications
verfasst von: Pablo Pedregal
Verlag: Springer International Publishing
Buch: Mathematical and Computational Methods for Modelling, Approximation and Simulation
Print ISBN: 978-3-030-94338-7

Electronic ISBN: 978-3-030-94339-4

Copyright-Jahr: 2022
DOI: https://doi.org/10.1007/978-3-030-94339-4_2

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