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Question 1: Explain the process of summing elemental expansions/approximations using La- grange interpolation across each element and transforming this into a global expansion/approximation. Use a 3 element example with quadratic Lagrange interpolation across each element to illustrate the process. How many unknowns are there in the elemental expansion over the entire domain? How many unknowns are there in the global expansion over the entire domain? Question 2: Sketch the elemental and global approximating functions you described and used in Problem 1.

Question 1: Explain the process of summing elemental expansions/approximations using La- grange interpolation across each element and transforming this into a global expansion/approximation. Use a 3 element example with quadratic Lagrange interpolation across each element to illustrate the process. How many unknowns are there in the elemental expansion over the entire domain? How many unknowns are there in the global expansion over the entire domain? Question 2: Sketch the elemental and global approximating functions you described and used in Problem 1.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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solve this problem on the finite element method;

Question 1: Explain the process of summing elemental expansions/approximations using La- grange interpolation across each element and transforming this into a global expansion/approximation. Use a 3 element example with quadratic Lagrange interpolation across each element to illustrate the process. How many unknowns are there in the elemental expansion over the entire domain? How many unknowns are there in the global expansion over the entire domain? Question 2: Sketch the elemental and global approximating functions you described and used in Problem 1.
Transcribed Image Text:Question 1: Explain the process of summing elemental expansions/approximations using La- grange interpolation across each element and transforming this into a global expansion/approximation. Use a 3 element example with quadratic Lagrange interpolation across each element to illustrate the process. How many unknowns are there in the elemental expansion over the entire domain? How many unknowns are there in the global expansion over the entire domain? Question 2: Sketch the elemental and global approximating functions you described and used in Problem 1.
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