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Introduction to the Finite Element Method

Introduction to the Finite Element MethodMarek K. MisztalNiels Bohr 28, 20161 IntroductionThe Finite Element methods (FEM) is a family of numerical methods designedto find approximate solutions to linear, partial differential equations (PDEs)on a variety of domains. It relies on domain decomposition into simplerele-ments(triangles, tetrahedra, quadrilaterals, etc.) and interpolation of thesolution based on a discrete set of values defined at specified domain applying the Galerkin Method , the original PDE is converted into aweakformulation, which can be written as a linear system of equations.

Introduction to the Finite Element Method Marek K. Misztal Niels Bohr Institute misztal@nbi.ku.dk March 28, 2016 1 Introduction The nite element methods (FEM) is …

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