General antonyms:
* Catch
* Find
* Capture
* Seize
* Obtain
* Achieve
* Attain
* Secure
* Embrace
* Accept
More specific antonyms:
* Comprehend (for understanding)
* Remember (for memory)
* Recognize (for identification)
* Yield (for resistance)
* Submit (for avoidance)
* Reveal (for concealment)
* Surrender (for escape)
The best antonym will depend on the specific context in which "elude" is used.