* complexity of the numerical solution. Error estimates are an appropriate
* means of determining where adjustments need to be made.
*
- * However with hp adaptivity, we have two ways to realise these adjustments:
+ * However with hp adaptivity, we have two ways to realize these adjustments:
* For irregular solutions, h adaptive methods which dynamically assign cell
* sizes tend to reduce the approximation error, while for smooth solutions p
* adaptive methods are better suited in which function spaces will be
- * selected dynamically. This namespace offers all tools to decide which type
+ * selected dynamically. This namespace collects tools to decide which type
* of adaptive methods to apply.
*
* <h3>Usage</h3>
*
* With an approximation of the local Sobolev regularity index $k_K$,
* we may assess to which finite element space our local solution on cell
- * $K$ belongs. Since the regularity index is only an etimate, we won't
+ * $K$ belongs. Since the regularity index is only an estimate, we won't
* use it to assign the finite element space directly, but rather consider
* it as an indicator for adaptation. If a cell is flagged for refinement,
* we will perform p refinement once it satisfies