Lecture

Interpolation in Finite Element Spaces

Description

This lecture covers the concept of interpolation in finite element spaces, focusing on the interpolation operator for degree r in a finite element space. The instructor explains the interpolation error, local interpolation estimates, and the continuous function mapping in a bounded domain. The lecture also discusses the regularity of solutions of partial differential equations in convex domains, emphasizing the importance of belonging to specific function spaces for accurate estimates.

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