Angular Element:
If jQuery is available, angular.element is an alias for the jQuery function. If jQuery is not available, angular.element delegates to Angular's built-in subset of jQuery, called "jQuery lite" or jqLite.
https://docs.angularjs.org/api/ng/function/angular.element
DOM element:
Document object model.
The DOM is the way Javascript sees its containing pages' data. It is an object that includes how the HTML/XHTML/XML is formatted, as well as the browser state.
A DOM element is something like a DIV, HTML, BODY element on a page. You can add classes to all and add style with respect to added classes using CSS, or interact with them using JS.
look at this answer
What is DOM element?