TITLE: Reference: solved problems and exercises on PDEs
QUESTION [10 upvotes]: I'm looking for books/lecture notes that contain solved problems and exercises on PDE. 
More specifically, I'm interested in 

basic 'computational' exercises;
more theoretical/advanced problems (also with some functional analytical flavor);
problems that are more "numerical" in nature (maybe based on software like Matlab or Mathematica).


Some references can be found  at Supplemental reference request-Graduate level PDE problems and solutions book, but I'm looking for something more both basic and advanced.

REPLY [2 votes]: The Problem Book in Mathematics by Komech & Komech should have what you're after.
The Schaum's Outline of Partial Differential Equations is also very good too.