* evaluates the environment variable DEAL_II_NUM_THREADS. Finally, the
* worker threads can only be created on cores to which the current MPI
* process has access to; some MPI implementations limit the number of
- * cores each process has access to to one or a subset of cores in order
- * to ensure better cache behavior. Consequently, the number of threads
+ * cores each process may access to one or a subset of cores in order to
+ * ensure better cache behavior. Consequently, the number of threads
* that will really be created will be the minimum of the argument
* passed here, the environment variable (if set), and the number of
* cores accessible to the thread.
/**
* A class for Gauss quadrature with arbitrary logarithmic weighting function.
- * This formula is used to to integrate $\ln(|x-x_0|/\alpha)\;f(x)$ on the
+ * This formula is used to integrate $\ln(|x-x_0|/\alpha)\;f(x)$ on the
* interval $[0,1]$, where $f$ is a smooth function without singularities, and
* $x_0$ and $\alpha$ are given at construction time, and are the location of
* the singularity $x_0$ and an arbitrary scaling factor in the singularity.
/**
* A class for Gauss quadrature with $1/R$ weighting function. This formula
- * can be used to to integrate $1/R \ f(x)$ on the reference element
- * $[0,1]^2$, where $f$ is a smooth function without singularities, and $R$ is
- * the distance from the point $x$ to the vertex $\xi$, given at construction
- * time by specifying its index. Notice that this distance is evaluated in the
+ * can be used to integrate $1/R \ f(x)$ on the reference element $[0,1]^2$,
+ * where $f$ is a smooth function without singularities, and $R$ is the
+ * distance from the point $x$ to the vertex $\xi$, given at construction time
+ * by specifying its index. Notice that this distance is evaluated in the
* reference element.
*
* This quadrature formula is obtained from two QGauss quadrature formulas,
{
public:
/**
- * A typedef that is used to to identify cell iterators. The concept of
+ * A typedef that is used to identify cell iterators. The concept of
* iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
*
typedef typename dealii::Triangulation<dim,spacedim>::cell_iterator cell_iterator;
/**
- * A typedef that is used to to identify
+ * A typedef that is used to identify
* @ref GlossActive "active cell iterators".
* The concept of iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
typedef typename ActiveSelector::active_hex_iterator active_hex_iterator;
/**
- * A typedef that is used to to identify
+ * A typedef that is used to identify
* @ref GlossActive "active cell iterators".
* The concept of iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
typedef typename ActiveSelector::active_cell_iterator active_cell_iterator;
/**
- * A typedef that is used to to identify cell iterators. The concept of
+ * A typedef that is used to identify cell iterators. The concept of
* iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
*
* (default value) refine the cell in the direction that removes hanging node.
*
* @param[in] max_iterations At each step only closest cells to hanging nodes
- * are refined. The code may require a lot of iterations to to remove all
* hangind nodes. @p max_iterations is the maximum number of iteration
+ * are refined. The code may require a lot of iterations to remove all
* allowed. If @p max_iterations == numbers::invalid_unsigned_int this
* function continues refining until there are no hanging nodes.
*
};
/**
- * A typedef that is used to to identify cell iterators. The concept of
+ * A typedef that is used to identify cell iterators. The concept of
* iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
*
typedef TriaIterator <CellAccessor<dim,spacedim> > cell_iterator;
/**
- * A typedef that is used to to identify
+ * A typedef that is used to identify
* @ref GlossActive "active cell iterators".
* The concept of iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
typedef typename ActiveSelector::active_hex_iterator active_hex_iterator;
/**
- * A typedef that is used to to identify
+ * A typedef that is used to identify
* @ref GlossActive "active cell iterators".
* The concept of iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
typedef typename LevelSelector::cell_iterator level_cell_iterator;
/**
- * A typedef that is used to to identify cell iterators. The concept of
+ * A typedef that is used to identify cell iterators. The concept of
* iterators is discussed at length in the
* @ref Iterators "iterators documentation module".
*