Lines Matching +refs:finite +refs:sum

6 <h3>The basic set up of finite element methods</h3>
8 This is the first example where we actually use finite elements to compute
23 If you've learned about the basics of the finite element method, you will
24 remember the steps we need to take to approximate the solution $u$ by a finite
57 finite element shape functions we will use. To define these shape functions,
63 - A finite element that describes the shape functions we want to use on the
75   taking the reference cell description the finite element object provides as
78   from the shape functions defined by the finite element class on the
150 - We need a way to form the integrals. In the finite element method, this is
152   weighted sum over a set of points on each cell. That is, we first split the
188   on cell $K$. This is what the FEValues class does: it takes a finite element
200 very difficult concept, since they can in general only deal with a finite
204 essence, we reduce the problem to one where we only need a finite amount of
206 normal vectors, etc, exclusively at a finite set of points. The FEValues class
207 is the one that brings the three components together and provides this finite
225 @note The preceding overview of all the important steps of any finite element
235 Although this is the simplest possible equation you can solve using the finite
236 element method, this program shows the basic structure of most finite
272 DoFHandler object, and a finite element object that describes the kinds of