* is a vector of expension coefficients. Because we don't know their values
* yet (we will compute them as the solution of a linear or nonlinear system),
* they are called "unknowns" or "degrees of freedom". The second meaning of
- * the term con be explained as follows: A mathematical description of finite
+ * the term can be explained as follows: A mathematical description of finite
* element problem is often to say that we are looking for a finite
* dimensional function $u_h \in V_h$ that satisfies some set of equations
* (e.g. $a(u_h,\varphi_h)=(f,\varphi_h)$ for all test functions $\varphi_h\in
x)$. Here, $U_j$ is a vector of expansion coefficients. Because we don't know
their values yet (we will compute them as the solution of a linear or
nonlinear system), they are called "unknowns" or "degrees of freedom". The
-second meaning of the term con be explained as follows: A mathematical
+second meaning of the term can be explained as follows: A mathematical
description of finite element problem is often to say that we are looking for
a finite dimensional function $u_h \in V_h$ that satisfies some set of equations
(e.g. $a(u_h,\varphi_h)=(f,\varphi_h)$ for all test functions $\varphi_h\in
// The next function is setting up all the variables that describe the linear
// finite element problem, such as the DoF handler, the matrices, and
// vectors. The difference to what we did in step-5 is only that we now also
-// have to take care of handing node constraints. These constraints are
+// have to take care of hanging node constraints. These constraints are
// handled almost transparently by the library, i.e. you only need to know
// that they exist and how to get them, but you do not have to know how they
// are formed or what exactly is done with them.
* <tt>values</tt> already has the right size, i.e. the same size as the
* <tt>points</tt> array.
*
- * Be default, this function repeatedly calls value() for each point
+ * By default, this function repeatedly calls value() for each point
* separately, to fill the output array.
*/
virtual void value_list (const std::vector<Point<dim> > &points,
* all elements be vectors with the same number of components as this
* function has.
*
- * Be default, this function repeatedly calls vector_value() for each
+ * By default, this function repeatedly calls vector_value() for each
* point separately, to fill the output array.
*/
virtual void vector_value_list (const std::vector<Point<dim> > &points,