Questions tagged [partitioning]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
1 vote
0 answers
35 views

Simultaneously partition all mesh elements (nodes, edges and cells) among processors

The numerical method that I'm implementing stores various fields in various elements of an unstructured triangular mesh. Data may be stored in cells, nodes and even edges of the mesh. For a parallel ...
user avatar
  • 165
0 votes
1 answer
70 views

Looking for Partinioning Algorithms allowing for Constraints

What algorithms exist that partition the domain according to a black box evaluation function (possibly subject to some assumptions)? Examples Simple Example To better exaplain we consider as our ...
user avatar
2 votes
1 answer
131 views

Partition mesh into predetermined submeshes

I have a mesh already partitioned into disjoint groups of cells. What I want to achieve is the following. Obtain the adjacency graph for the cell groups. Partition the mesh, i.e. generate submeshes ...
user avatar
0 votes
0 answers
91 views

Solving a linear system with block-banded matrix

It is required to solve a linear system $Ax=b$, where the matrix $A$ is symmetric, all the variables and coefficients are real. The structure of $A$ is \begin{equation} A = \begin{pmatrix} A_{11} &...
user avatar
  • 472
2 votes
2 answers
406 views

Visualization of Quad/Octree data Structures

I have a simple C++ quadtree implementation. The implementation subdivides node into four children as if there is more than one point in that particular node. At the moment I want to visualize how ...
user avatar
1 vote
0 answers
158 views

Metis: how to use and tutorial recommendation

I am new to METIS and trying to use it in my fortran code. I read the manual online. But still, I am not sure about how to implement it my code. I tried the test cases in the graphs directory. For ...
user avatar
4 votes
1 answer
938 views

What is the difference between recursive bisection and direct k-way partition?

The usual problem of graph partitioning is to split a graph (or a mesh) into two partitions. According to its Github repository's README file, KaHyPar supports both recursive bisection and direct k-...
user avatar
0 votes
1 answer
103 views

Linear algebra of the inertial partition algorithm

You can find the description of the inertial partition algorithm either in [1] or [2]. I think, I understood the main idea behind this algorithm: We have the spatial coordinates of points that ...
user avatar
1 vote
0 answers
26 views

How group similar data in a single classes and reduce the error

I have vehicles gps information in my real time traffic application. Averaging that information I know the speed of every road at any time. The problem is that is too much data to send back to the ...
user avatar
0 votes
1 answer
77 views

Automatic classification of a family of 2D contours or closed surfaces in 3D

I am computing some partitions in my work and would like to be able to extract informations in an automatic way when given a certain partition structure. To see what I have in mind, look at the photos ...
user avatar
0 votes
1 answer
69 views

simple and fast graph-clustering for paralelization of finite element simulations

I'm learning to use OpenCL to optimize some of my simulations. I realized that I need some sort of Graph-clustering or graph-partitioning to exploit efficiently local memory for un-ordered meshes. ...
user avatar
1 vote
0 answers
85 views

Mesh partitioner with user-defined overlap

I am looking for a mesh partitioner, where I can specify overlap, for example h = 3. I have looked into metis, but I wasn't able to find such a functionality. Is there any other package which ...
user avatar
0 votes
1 answer
148 views

how to partition a graph(matrix) into subdomains with different sizes

i am studying the solver for PageRank problems which drived from the web link graph. I have tried using METIS to divided the matrix into subdomains, but METIS can only produce subdomains with nearly ...
user avatar
0 votes
1 answer
62 views

Particle mesh Ewald: recommended splitting into short and long range

Particle mesh Ewald method for acceleration of solving pairwise interaction by long range forces (electrostatic, gravitational ... ) seem to be very general and easy to implement. The basic principle ...
user avatar
1 vote
0 answers
38 views

Optimal partition - variable number of parts

Suppose I have a box $D \subset \Bbb{R}^2$ (compact set). Denote $\mathcal{P}= \{ (\Omega_1,...,\Omega_n) : \bigcup_{i=1}^n \Omega_i = D,\ \Omega_i \cap \Omega_j =\emptyset\}$ the family of partitions ...
user avatar
5 votes
1 answer
970 views

Why dual graph for mesh partitioning

Software such as ParMetis or PTScotch partition a graph. When one wants to use it for mesh partitioning (for example for FEM), a dual graph whose vertices represent cells of the original mesh is ...
user avatar
3 votes
0 answers
111 views

Partitioning Data for Multiple Regression Lines

We're all familiar with traditional least-squares method for constructing a straight line through a set of data points. The question is: suppose I show you a scatter plot which clearly is suggestive ...
user avatar
4 votes
1 answer
703 views

metis partitioning for structured multi-block grids

Metis is purpose-built for partitioning graphs and unstructured meshes one uses in finite element/volume methods, and it works great for this. I have a 3D structured multi-block topology, where each $...
user avatar
  • 2,203
5 votes
3 answers
935 views

implicit vs. explicit domain decomposition methods

I've been working on a finite element code on unstructured methods, which I've parallelized using the Schur complement method. Here's a summary of how I did it: Assign each triangle of the mesh to a ...
user avatar
6 votes
1 answer
137 views

Random access random permutations

I have a large number of parallel processes and a large integer $n$, and want to randomly partition the integers $[0,n)$ among the processes with only $O(1)$ communication. One nice way to do this ...
user avatar
4 votes
1 answer
237 views

Mesh partitioner that assures non empty subdomain?

Does some of you know a mesh partitioner that assures non empty subdomains? For METIS, ParMETIS and Zoltan this is not the case.
user avatar
  • 800
3 votes
1 answer
135 views

Single nodes after mpmetis partitioning

I was checking partitioning capabilities of Metis (mpmetis) when I noticed, that it leaves two single nodes. I have marked them in red Have you seen something similar or maybe it is my mistake? The ...
user avatar
3 votes
1 answer
240 views

Looking for parMetis visualizer?

Is there any visualizer for parMetis (mpmetis), which can visualize FEM mesh grids after partitioning?
user avatar
2 votes
2 answers
1k views

Mesh domain decompositions / mesh partitioning

I have some experience with mpmetis from METIS. It is pretty good software which offers unstructured mesh grid partitioning. But obtained results always minimize edgecuts or total communication volume....
user avatar
17 votes
3 answers
341 views

Desktop software with HPC resources for back end number crunching

Our workgroup produces a desktop application that simulates building energy performance. It is a .NET application and when the user is running a lot of simulations, they can be quite time consuming. ...
user avatar
  • 576