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In this question, we will prove that the Galerkin method, when applied to the WF, minimizes the error norm in stress shown below. We will prove it for the simplest case of a one-mode Rayleigh-Ritz approximation. The idea here is to minimize the error norm and show that it gives the WF. Hint: û = dEr d d₁ d₁ N(x), and set- = 0. B₁ = ['(0 - 0) ¹dx (8

In this question, we will prove that the Galerkin method, when applied to the WF, minimizes the error norm in stress shown below. We will prove it for the simplest case of a one-mode Rayleigh-Ritz approximation. The idea here is to minimize the error norm and show that it gives the WF. Hint: û = dEr d d₁ d₁ N(x), and set- = 0. B₁ = ['(0 - 0) ¹dx (8

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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In this question, we will prove that the Galerkin method, when applied to the WF, minimizes the error norm in stress shown below. We will prove it for the simplest case of a one-mode Rayleigh-Ritz approximation. The idea here is to minimize the error norm and show that it gives the WF. Hint: û = dE, d,N(x), and set = 0. d d1 E, : (ô - 0)?dx
Transcribed Image Text:In this question, we will prove that the Galerkin method, when applied to the WF, minimizes the error norm in stress shown below. We will prove it for the simplest case of a one-mode Rayleigh-Ritz approximation. The idea here is to minimize the error norm and show that it gives the WF. Hint: û = dE, d,N(x), and set = 0. d d1 E, : (ô - 0)?dx
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