Ebook A first course in the finite element method (4th edition) Part 2

Ebook A gentle introduction to the finite element method

... Da, daaaa! There they are The blocks you wanted Again, our diagonal block was a scalar, so this was easy What would have happened if it was a matrix? Do you have to compute that inverse and apply ... of the values on its vertices Otherwise, we can try a quadrature rule to approximate the integrals It is important at this stage to note that the choice of an adequate quadrat...

Ngày tải lên: 18/05/2017, 15:44

Ebook The finite element method (2nd edition) Part 1

... solutions 7 12 24 28 32 35 44 48 50 71 71 72 73 75 80 91 102 10 7 11 4 14 1 14 1 14 4 14 5 14 7 15 1 15 3 16 0 viii The Finite Element Method Further topics in the finite element method 5 .1 The variational ... Consider the equation (2 .13 ) −u = f, < x < 1, 21 Weighted residual and variational methods Table 2.3 The integrals for the Galerkin method i,...

Ngày tải lên: 18/05/2017, 15:22

Ebook The finite element method (2nd edition) Part 2

... + 32 (1 + 2U2 + U3 )U2 − 32 (U2 + U3 )U3 = − , − 32 (U2 + U3 ) + 32 (U2 + 2U3 )U3 = − Solving these yields U 22 = 49 , U 32 = 19 21 2 The Finite Element Method Just as in Example 5.5, the positive ... after the conditions U11 = 0, U21 = 29 , U31 = 89 , U41 = 2, U 12 = 1, U 42 = are enforced, becomes ⎤ ⎥ ⎢ ⎢ U 22 ⎥ + ⎣ U 32 ⎦ ⎡ which yields U 22 = 11 , U 32 = 17 29 4...

Ngày tải lên: 18/05/2017, 15:22