I suppose that your exe file finds your text file by way of input args.
But your full path to the text file contains spaces and this breaks your args parameters to more than one element.
Your program refers to the first argument that is an incomplete path.
args[0] = "C:\users\asim"
.....
and so on for every space present in your pathname to the txt file.
A simple solution is to specify the WorkingDirectory and remove the full path from the arguments
Dim a As New ProcessStartInfo
a.WorkingDirectory = "C:\Users\Asim Rahman\Desktop\Project Input Files"
a.FileName = "DirectStiffness.exe"
a.Arguments = "HW3A.txt"
a.WindowStyle = ProcessWindowStyle.Maximized
Process.Start(a)