In general, it's best to give up on ideas like "tri-diagonal matrices" when
using a general, multi-dimensional, mesh-adaptive finite-element code.  The
set of problems that could actually generate tri-diagonal matrices is
incredibly small.

Don't worry about the matrix and just use a good solver like GMRES.

Derek

On Fri, Jul 1, 2016 at 2:44 PM Harshad Sahasrabudhe <[email protected]>
wrote:

> Thanks! I don't necessarily want to place each partition on a processor.
> The idea is to renumber the DOF indices such that the matrix looks like a
> block tri-diagonal matrix. I am limited to first order Lagrange elements
> and probably a trapezoidal integration rule.
>
> If I call renumber_nodes_and_elements after using LinearPartitioner, will
> the resulting DOFs make a block tri-diagonal matrix?
>
> Harshad
>
> On Fri, Jul 1, 2016 at 2:38 PM, Derek Gaston <[email protected]> wrote:
>
>> Renumbering and Partitioning are two different things.
>>
>> You can partition along an axis using:
>> https://github.com/libMesh/libmesh/blob/master/include/partitioning/linear_partitioner.h
>>
>> Derek
>>
>> On Fri, Jul 1, 2016 at 2:26 PM Harshad Sahasrabudhe <[email protected]>
>> wrote:
>>
>>> Hi,
>>>
>>> Is it possible to partition a 3D mesh along x axis using the ParMetis
>>> wrapper in LibMesh? I want to renumber the nodes and elements such that
>>> the
>>> numbering is ordered from minimum x to maximum x.
>>>
>>> Thanks!
>>> Harshad
>>>
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