What is the Finite Element Method? The Finite Element Method (FEM) is a numerical technique used to approximate solutions of partial differential equations (PDEs). Instead of solving the PDE over the ...

Journal of Computational Mathematics, Vol. 26, No. 3, SPECIAL ISSUE DEDICATED TO THE 70TH BIRTHDAY OF PROFESSOR JUNZHI CUI (May 2008), pp. 437-455 (19 pages) In this paper, we consider 2D and 3D Darcy ...

ABSTRACT: The Weak Galerkin (WG) finite element method for the unsteady Stokes equations in the primary velocity-pressure formulation is introduced in this paper ...

Mathematics of Computation, Vol. 79, No. 272 (OCTOBER 2010), pp. 2001-2032 (32 pages) We derive in this paper a unified framework for a priori and a posteriori error ...

The Vector Form Intrinsic Finite Element (VFIFE) method represents an advanced computational approach that redefines conventional finite element analysis through an intrinsic, vector‐based formulation ...

Abstract: The multiscale finite element method has shown its high potential for the simulation of the eddy current problem in closed magnetic circuits with laminated cores. This work introduces a ...

Abstract: The Ultra Weak Variational Formulation (UWVF) is a special Trefftz discontinuous Galerkin method, here applied to the time-harmonic Maxwell’s equations. The method uses superpositions of ...