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By adding a term to the variational equations, we derive a new finite element method for the stationary Stokes equations which eliminates the      div υ  = 0 {\operatorname {div}}\upsilon = 0       restriction on the trial functions. The method is described using continuous piecewise linear functions, and the optimal      O ( h ) O(h)       order of convergence estimate is derived for the error in the      H 1 ( Ω  ) {H^1}(\Omega )       norm.

A finite element method for the stationary Stokes equations using trial functions which do not have to satisfy 𝑑𝑖𝑣𝜈=0