Abstract

This chapter presents a wide variety of finite elements of different shapes (quadrilaterals, hexahedra, triangles, tetrahedra, pyramids and wedges) useful for the numerical resolution of wave equations. More precisely, the H1, H(curl) and H(div) conforming finite elements are described in details by focusing on their spectral version which induces the important concept of mass-lumping for quadrilaterals and hexahedra. This concept enables us to construct performant algorithms.

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