Variational Problems

Adina Chirilă (), Marin Marin and Andreas Öchsner
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Adina Chirilă: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Marin Marin: Transilvania University of Braşov, Department of Mathematics and Computer Sciences
Andreas Öchsner: Esslingen University of Applied Sciences, Faculty of Mechanical Engineering

Chapter Chapter 10 in Distribution Theory Applied to Differential Equations, 2021, pp 225-248 from Springer

Abstract: Abstract We present the existence and uniqueness of the solutions of a large class of variational problems. We apply the Lax-Milgram theorem for the variational formulations of the Stokes system, the elasticity system and the plate equation. Then we discuss the approximation of variational problems by means of the Galerkin method and by means of the finite element method.

Date: 2021
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DOI: 10.1007/978-3-030-67159-4_10

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