In this paper we introduce a Petrov-Galerkin approximation model to the solution of linear and semi-linear elliptic boundary value problems in which piecewise quadratic polynomial space and piecewise ...

Interior a priori error estimates in Sobolev norms are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating ...

Discontinuous Petrov-Galerkin (DPG) methods have emerged as a robust class of finite element techniques designed to enhance stability and accuracy in numerical simulations. By employing discontinuous ...

The element‐free Galerkin (EFG) methods represent a significant progression in numerical analysis, harnessing meshless techniques to overcome challenges associated with conventional meshing. By ...