By adding a term to the variational equations, we derive a new finite element method for the stationary Stokes equations which eliminates the div u= 0 restriction on the trial functions.

Tikhonov regularization is one of the most popular approaches to solve discrete ill-posed problems with error-contaminated data. A regularization operator and a suitable value of a regularization ...

The same method also works for equations that are not readily factorable. That’s when students turn to the quadratic formula.