Petrov–Galerkin finite element methods with a hinged test space for singularly perturbed problems

A higher-order accurate Petrov-Galerkin

A higher-order accurate Petrov-Galerkin finite-element method for elliptic boundary-value problems

✍ MacKinnon, R. J. ;Johnson, R. W. ;Langerman, M. A. 📂 Article 📅 1992 🏛 Wiley (John Wiley & Sons) 🌐 English ⚖ 311 KB 👁 2 views

We formulate a higher-order (superconvergent) Petrov-Galerkin method by determining, using a finitedifference approximation, the optimal selection of quadratic and cubic modifications to the standard linear test function for bilinear elements. Application of this method to linear elliptic problems r