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5. Implementing discretization
We will give the expression of the Lagrange polynomials and their derivatives to construct the first and second derivation matrices. We'll need them to write the algebraic system to be inverted to solve, for example, the equation (18) .
5.1 Die assembly
For , we denote by h i the Lagrange polynomial characteristic of the i-th Gauss-Lobatto...
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Implementing discretization
Conclusion
Bibliography
- (1) - ABRAMOWITZ (M.), STEGUN (I.A.) - Handbook of mathematical functions with formulas, graphs, and mathematical tables, vol. 55 of National Bureau of Standards Applied Mathematics Series - For sale by the Superintendent of Documents, U.S. Government Printing Office, Washington, D.C. (1964).
- (2)...
Software tools
Code Nektar – Implementation of tetrahedron-based spectral element methods http://www.cfm.brown.edu/people/tcew/nektar.html
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