There was a problem I remember from ages ago where certain Dell machines had this problem running Grimrock. I expect that the problem is being caused by out of date graphics drivers (I also wonder if it's trying to run the game on the Intel GPU instead of your proper GPU). Things to try...
1. Download the latest Nvidia driver from:
NVidia Driver Downloads. Make sure you select the correct driver for your OS and graphics card from the dropdowns.
2. Make sure that Legend of Grimrock is actually using your Nvidia GPU instead of defaulting to the onboard Intel GPU which commonly happens.
a. Right click on the Nvidia icon in your system tray and select 'Nvidia Control Panel'.
b. From here, go to 'Manage 3D Settings'.
c. Go to the 'Program Settings' tab.
d. Select 'Grimrock.exe' from the drop down. If it's not there, you might have to add it manually.
e. Make sure it says "Use Dedicated Graphics Card" instead of "Auto (Default: Intel ...)".
3. If the game still refuses to run, I would suggest getting the latest Intel HD Graphics driver from the intel site. You can either use the
Intel Driver Update Tool or you can download the driver directly
Intel Driver Downloads. By my reckoning you want Graphics/Laptop/Intel HD 3000 Series - which leads to (URL too messy for the boards to accept)
https://downloadcenter.intel.com/Search ... amilyId=39
This Download Page. Note that these will probably be many months ahead of the ones you find on the Dell driver page and will fix a number of bugs, but there is a tiny, tiny chance that they might not work properly and you'll have to go back to the old drivers. Note that this is incredibly rare.