Meshtools: um solucionador de elementos finitos e manipulador de malhas em C++

Abstract

Partial Differential Equations are used to mathematically model several natural phenomena. However, some of these equations are difficult or even impossible to solve analytically. In such cases, numerical methods such as the Finite Element Method are recommended for obtaining accurate solutions. This method discretizes the continuous problem domain into a mesh composed of nodes and elements. The accuracy of the method depends on the resolution of the discretized domain. Therefore, more refined domains lead to more precise results and increase the computational cost required for their resolution. To solve such problems in a timely manner, high-performance techniques like parallelizing the problem become necessary. In this work, a computational framework has been proposed for manipulating finite element meshes and solving these problems in a parallel environment. The framework uses an open source library and the results show that the method is both correct and scalable in a parallel environment.