In this lesson, we look at another key property of the finite element method called the best approximation property. The best approximation property states that the finite element method picks a function (from the allowable function space) to be the finite element solution, such that the chosen function minimizes the energy norm of the difference between a function and the exact solution. In this lesson, we mathematically prove this statement.

You are being redirected to our marketplace website to provide you an optimal buying experience. Please refer to our FAQ page for more details. Click the button below to proceed further.