Article history: Received 3 March 2014 Received in revised form 25 November 2014 Accepted 3 February 2015 Available online 11 February 2015

We study the problem of constructing asymptotically optimal meshes with respect to the gradient error of a given input function. We provide simpler proofs of previously known results and show constructively that a closed-form solution exists for them. We show how the transformational method for obtaining meshes, as is, cannot produce asymptotically optimal meshes for general inputs. We also dis...