Finite Element Method (Weak form)
In order to apply Finite Element Method to solve PDEs, we need to convert the PDEs into an equivalent “weak form”.
PhD in Bioinformatics, Scientist in Antibody Development
In order to apply Finite Element Method to solve PDEs, we need to convert the PDEs into an equivalent “weak form”.
Finite Element method is a numerical method, rather than analytic method of solving PDEs.
Motivation: Approximating solutions to ODE/PDE in a complex geometry
Steps:
Foreword: In biological system modelling, often we are faced with a (huge) set of differential equations. They describe physical phenomena and are therefore relatively easy to construct and inspect if the system was constructed in the right way. However, solving these are computationally taxing and there is no way to predict the outcome just by looking at the entire set of differential equations. Since being introduced to System Engineering, I have always wanted to use the control theories to simplify these massive (and messy) systems, and thus be able to anticipate and adjust the system behaviour according to the need of the model.