Page 49 - Computational Modeling in Biomedical Engineering and Medical Physics

Physical, mathematical, and numerical modeling 35

4. Solve the mathematical model. Here analytic methods (if existent) and numerical
methods may be used. The FEM technique is mostly used because of its capacity
to approach complex computational domains, to model-coupled physical modes
and produce numerical solutions within prescribed numerical accuracy limits.
5. Check the numerical accuracy of the result. This step should go without mention-
ing; however, more than seldom the first numerical solution is taken as accurate
enough without checking it.
6. Postprocess the results.
This approach is consistent with Hadamard’s definition of a well-posed direct problem.

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