2D Parameter identification in a distributed parameter system

Rachidi, S.; Channa, Rafik; Karama, Asma

doi:10.1109/icmcs.2011.5945732

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Lax-milgram Theorem1

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2018

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“…Among its many applications, it guarantees the existence and uniqueness of solutions for elliptical equations, and to a lesser extent, parabolic ones. In combination with the Finite Element Method, we can not only ensure the existence of such a solution, but also give an explicit approximation of it [3].…”

Section: Lax-milgram Theoremmentioning

confidence: 99%

A note on the variational formulation of PDEs and solution by finite elements

Alzate¹,

Velez²,

Mesa³

2018

astp

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Mathematical modeling of differential equations is, in some cases, complex to develop through an analytical solution. In this article a description of the variational method is presented, which is used for the qualitative study of partial differential equations: existence, uniqueness and regularity of the solution [1]. The analysis of linear second-order elliptic partial differential equations is shown as an illustration. Finally, an application of the weak formulation of the Poisson equation is shown by the finite element method.

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Section: Lax-milgram Theoremmentioning

confidence: 99%