Global Finite Element Matrix Construction Based on a CPUGPU Implementation
∇(c∙∇u)+b∙∇u+au=f (1)
EPDE can be solved exactly by mathematical procedures like Fourier series [1]. However, the classical solution frequently no exists and for those problems where is possible the use of these analytical methods, many simplifications are done [2]. Consequently, several numerical methods have been developed to efficiently solve EPDE such as the finite element method (FEM), finite difference and others.
The FEM have several advantages over other methods. The main advantage is that it is particularly effective for problems with complicated geometry using unstructured meshes [2]. One way to get a suitable framework for solving EPDEs by using FEM is formulate them as variational problems also called weak solution.
The variacional formulation of an EPDE is a mathematical treating for converting the strong formulation to a weak formulation, which permits the approximation in elements or subdomains, and the EPDE…

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