In order for you to play Grim Fandango Remastered on Linux with minimal graphics settings, your computer must meet the following requirements
Operating System:
Ubuntu 14.04 LTS, fully updated
Processor (CPU):
Intel® Core™ 2 Duo 2.4 GHz, AMD Athlon™ X2 2.8 GHz, or higher
Memory (RAM):
4 GB RAM
Graphics Card:
ATI Radeon HD 4650 / NVIDIA GeForce GT 220 / Intel HD 4000 Graphics, or equivalent
Storage:
6000 MB available space