Assume some basic knowledge of numerical methods for PDEs, acquired through A. Quarteroni's Numerical models for differential problems.
I'm looking for a reference to get started on the analysis of PDEs and modeling for industrial problems and related computational approaches (with sample Matlab code available to illustrate them).
Are there monographs that deal with concrete complicated (possibly messy) industrial problems (elasticity, fluid mechanics, continuum mechanics, chemical reactions, etc.) involving PDEs (i.e. PDE models that arise in real-life "industrial" settings)?
I'm looking for rigorous analysis and numerical analysis. Also, I'd prefer if such books included fairly complete source codes of implementations of the proposed numerical algorithms in MATLAB.