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For questions about solving numerical problems by evaluating over a discrete grid of points in the problem domain.

6 votes
2 answers
293 views

What makes a good computational grid?

Most computational methods for solving PDEs are grid-based. What makes a computational grid "good", other than being sufficiently fine to resolve features of numerical solutions? … Is there a high-level overview, a paper or a book, discussing what makes a grid "good", for a range of solution methods and numerical problems of interest? …
Maxim Umansky's user avatar
3 votes
1 answer
206 views

Calculations on discontinous grids

Suppose for a grid-based calculation a grid is used such that the grid Jacobian is discontinuous. … This grid can be illustrated by this plot, showing the x coordinate of the grid point vs. its index normalized to the total number of grid points. …
Maxim Umansky's user avatar
1 vote
1 answer
194 views

Overlapping 1D grids

I need to find the overlap of these grids, i.e., what cell of grid #1 overlaps with what cell of grid #2, and what is the overlapping area (length). … Below I am including a Python script that solves this problem in a simple way, checking every pair of grid cells. …
Maxim Umansky's user avatar