A fast hp adaptive finite element mesh design Original Research Article

An optimum hp adaptive mesh design is accomplished by minimizing the number of equations for a specified error limit. This new approach leads to a problem in which the h and p mesh parameters appear explicitly in the formulation. The optimal conditions yields a non-linear equation for each element which simultaneously supplies the optimum values for h and p parameters. The methodology here developed is applied to the numerical solution of several unidimensional elliptic boundary value problems.