MFEM mumps solver

[k-collie]

Closes #31988

Requires #31906, I will rebase once that is merged.

Reason

Adds MUMPS solver

Impact

Only adds to API

[moosebuild]

Job Precheck, step Versioner verify on dd642b0 wanted to post the following:

Versioner templates

Found 14 templates, 0 failed

Versioner influential files

Found 58 influential files, 1 changed, 0 added, 0 removed

package	status	file
moose-dev	CHANGE	scripts/update_and_rebuild_mfem.sh

Versioner versions

Found 9 packages, 1 changed, 1 failed

package	status	hash	to hash	version	to version
moose-dev	NEED BUMP	a20764f	05f8827	2025.11.24	2025.11.24

Verification failed.

[nmnobre]

Excellent. Nice and short just as how I love it. :)

We're missing some docs in the form of MFEMMUMPS.md and perhaps an option to set the print level for consistency. I think we can postpone any other options to if/when we are pressed by any specific needs.

[nmnobre]

Pending a rebase, and assuming all tests pass, this is good to go.

[moosebuild]

Job Test, step Results summary on 2b38d01 wanted to post the following:

Framework test summary

Compared against 701997c in job civet.inl.gov/job/3442489.

No change

Modules test summary

Compared against 701997c in job civet.inl.gov/job/3442489.

No added tests

Run time changes

Test	Base (s)	Head (s)	+/-
stochastic_tools/test:web_server_control.stochastic_control/batch_reset	299.98	2.61	-99.13%

[k-collie]

Sorry for the pings, reviews got requested when I converted it from draft to ready to review.

[moosebuild]

Job Documentation, step Docs: sync website on 2b38d01 wanted to post the following:

View the site here

This comment will be updated on new commits.

[nmnobre]

I've successfully tested this on the MFEMDarcy example test. The print level option is working as expected too.

[moosebuild]

Job Coverage, step Generate coverage on 2b38d01 wanted to post the following:

Framework coverage

	701997	#31989 2b38d0
	Total	Total	+/-	New
Rate	85.98%	85.98%	+0.00%	100.00%
Hits	125750	125766	+16	18
Misses	20503	20505	+2	0

Diff coverage report

Full coverage report

Modules coverage

Inconsistent report tags were found between the head and base reports.
This can happen when reports are missing from either the head or the base.

Inconsistent tags:
module-contact-parallel
module-heat_transfer-parallel
module-porous_flow-parallel
module-ray_tracing-parallel
module-rdg-parallel
module-reactor-parallel
module-scalar_transport-parallel
module-solid_mechanics-parallel
module-solid_properties-parallel
module-stochastic_tools-parallel
module-subchannel-parallel
module-thermal_hydraulics-parallel
module-xfem-parallel

Full coverage reports

Reports

• framework
• chemical_reactions
• combined
• contact
• electromagnetics
• external_petsc_solver
• fluid_properties
• fsi
• functional_expansion_tools
• geochemistry
• heat_transfer
• level_set
• misc
• navier_stokes
• optimization
• peridynamics
• phase_field
• porous_flow
• ray_tracing
• rdg
• reactor
• richards
• scalar_transport
• solid_mechanics
• solid_properties
• stochastic_tools
• subchannel
• thermal_hydraulics
• xfem

This comment will be updated on new commits.