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Erschienen in:
2021 | OriginalPaper | Buchkapitel
7. Quadratures
verfasst von : Alexandre Ern, Jean-Luc Guermond
Erschienen in: Finite Elements II
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Abstract
Implementing the finite element method requires evaluating the entries of the stiffness matrix and the right-hand side vector, which in turn requires computing integrals over the mesh cells. In practice, these integrals must often be evaluated approximately by means of quadratures. In this chapter, we review multidimensional quadratures that are frequently used in finite element codes, and we derive bounds on the quadrature error. We also describe the implementation of quadratures in conjunction with the assembling of the stiffness matrix.