Update: Now, working with ST2 longer, performance issues on Android is what you need to take. There are many things you can do to avoid performance issues such as reducing listeners and events, preserving your DOM light (below 2000 nodes) and generally avoiding any CSS3 transformations and effects (especially this works poorly on Android)
Another thing worth considering rather than using the built-in WebView, you can use the CrossWalk browser and embed it in the APK.
https://crosswalk-project.org
It adds a small size to your APK (15-20 MB), but it works better than the built-in WebView and provides stability and consistency with a very fragmented platform. Think about how each WebView on Android may differ differently depending on the device version, vendor, and OS. CrossWalk allows you to have the same version on all Android 4.0+ devices and remove any problems with the device or provider.
There is no silver bullet for performance on Android. Graphics acceleration will not improve the performance of pure javascript execution or DOM manipulation. If you want to understand why, then start here:
What is the difference between reflow and repaint?
Old answer (may still be valid):
For ICS and above, the following option in the webview will significantly improve the rendering performance for Sencha Touch on Android:
mWebView.setLayerType(WebView.LAYER_TYPE_HARDWARE, null);
However, in my experience, this will lead to artifacts in CSS rendering depending on the change in device and platform. I specifically did not find a reason for this, and I do not expect Google to solve it, since the webview component will be replaced with a newer and better version in Android 4.4.
https://developers.google.com/chrome/mobile/docs/webview/overview