More Related Content Similar to An Introduction to the Finite Element Method Similar to An Introduction to the Finite Element Method (20) More from Mohammad Tawfik More from Mohammad Tawfik (20) An Introduction to the Finite Element Method19. In Matrix Form Solve the above system for the “generalized coordinates” a i to get the solution for u(x) 27. In Matrix Form Solve the above system for the “generalized coordinates” a i to get the solution for u(x) 31. In Matrix Form Solve the above system for the “generalized coordinates” a i to get the solution for u(x) 60. Performing Integration: Note that if the integration is evaluated from 0 to h e , where h e is the element length, the same results will be obtained . 144. For Element #5 Global Node Number Local Node Number 5 1 6 2 9 3 8 4 145. Contribution of element #5 to global matrix 12 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 1,3 1,4 1,2 1,1 5 2,3 2,4 2,2 2,1 6 7 4,3 4,4 4,2 4,1 8 3,3 3,4 3,2 3,1 9 10 11 12 147. Elements Register: Global Numbering Node Number Element Number 4 3 2 1 4 5 2 1 1 7 8 5 4 2 10 11 8 7 3 5 6 3 2 4 8 9 6 5 5 11 12 9 8 6