Mathematical Modelling and Finite Element Analysis
This chapter gives a concise introduction to the numerical analysist’s point of view of the foundation needed to understand isogeometric analysis. We will begin with mathematical models and the governing partial differential equations. These will be altered to obtain variational formulations, which are fundamental for the numerical solution process either with finite elements or isogeometric analysis. Two sections in this chapter are devoted to the finite element method. We will discuss its theoretical properties as well as its realization and implementation.
KeywordsFinite Element Analysis Bilinear Form Curve Boundary Reference Element Quadrilateral Element
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