Patch MFEM ParMixedBilinearForm to support trial variables defined on submeshes

[alexanderianblair]

Closes #32462

[moosebuild]

Job Test, step Results summary on b239962 wanted to post the following:

Framework test summary

Compared against aec0a32 in job civet.inl.gov/job/3640883.

Added tests

Test	Time (s)	Memory (MB)
mfem/submeshes.MFEMCoupledSubmeshVariableSource	0.70	0.00

Run time changes

Test	Base (s)	Head (s)	+/-	Base (MB)	Head (MB)
convergence/reference_residual_convergence.zero_tolerance_ref	4.28	6.98	+63.04%	124.63	114.14
problems/reference_residual_problem.zero_tolerance_ref	4.28	6.90	+61.46%	111.74	123.94
executioners/multisys-ss-detection.multi-sys-ss	4.99	7.70	+54.42%	136.29	132.47
multiapps/picard.iteration_adaptive	3.96	5.98	+51.04%	151.86	144.89
multiapps/picard_postprocessor.pp_transient/app_begin_transfers_end	4.13	6.23	+50.98%	132.34	142.06
time_integrators/convergence.implicit_midpoint/level2	2.87	4.32	+50.67%	127.43	122.51

Modules test summary

Compared against aec0a32 in job civet.inl.gov/job/3640883.

No added tests

Run time changes

Test	Base (s)	Head (s)	+/-	Base (MB)	Head (MB)
solid_mechanics/test:beam/static.euler_finite_y_with_action	3.37	5.61	+66.28%	126.31	116.25
solid_mechanics/test:smeared_cracking.cracking_rotation_pres_dir_z	4.14	6.86	+65.84%	135.85	128.98
solid_mechanics/test:smeared_cracking.cracking_rotation_pres_dir_x	4.16	6.90	+65.69%	128.69	129.05
solid_mechanics/test:rate_independent_cyclic_hardening.linear_kinharden_nonsymmetric_stress_controlled	4.79	7.74	+61.52%	121.27	117.34
solid_mechanics/test:beam/dynamic.dyn_euler_added_mass2	2.75	4.41	+60.46%	132.25	126.69
solid_mechanics/test:rate_independent_cyclic_hardening.nonlin_kinharden_symmetric_strain_controlled	5.22	8.34	+59.86%	123.51	125.64
solid_mechanics/test:smeared_cracking.rz_exponential	12.39	19.60	+58.25%	134.13	123.37
solid_mechanics/test:combined_creep_plasticity.creepWithPlasticity	5.64	8.87	+57.04%	119.90	121.61
solid_mechanics/test:torque_reaction.disp_about_axis_motion	2.20	3.44	+56.41%	113.80	114.42
solid_mechanics/test:rate_independent_cyclic_hardening.1D_ratcheting_nonlin_kinharden_stress_controlled	4.05	6.31	+55.89%	128.49	123.79
solid_mechanics/test:torque_reaction.disp_about_axis_axial_motion_delayed	2.17	3.38	+55.57%	108.47	113.57
solid_mechanics/test:torque_reaction.disp_about_axis_motion_incremental	2.23	3.47	+55.31%	118.01	118.11
stochastic_tools/test:web_server_control.stochastic_control/normal	2.71	4.14	+52.87%	264.14	276.65
solid_mechanics/test:smeared_cracking.exponential	4.46	6.81	+52.81%	117.93	123.50
solid_mechanics/test:combined_creep_plasticity.stress_prescribed	3.79	5.75	+51.88%	126.89	127.55
solid_mechanics/test:combined_creep_plasticity.combined_start_time	6.21	9.42	+51.73%	118.64	124.56
solid_mechanics/test:beam/static.euler_finite_rot_z	3.68	5.59	+51.60%	124.81	128.71
solid_mechanics/test:combined_creep_plasticity.combined	6.21	9.42	+51.56%	127.99	127.13
solid_mechanics/test:crystal_plasticity/cp_eigenstrains.thermal_eigenstrain_011orientation	6.14	9.29	+51.39%	128.83	123.19
solid_mechanics/test:ad_smeared_cracking.cracking_rotation_pres_dir_x	3.42	5.14	+50.18%	133.32	133.99
stochastic_tools/test:transfers/sampler_reporter.transfer/distributed	3.42	5.14	+50.17%	476.23	496.56

[moosebuild]

Job Documentation, step Docs: sync website on b239962 wanted to post the following:

View the site here

This comment will be updated on new commits.

[moosebuild]

Job Coverage, step Generate coverage on b239962 wanted to post the following:

Framework coverage

	aec0a3	#32463 b23996
	Total	Total	+/-	New
Rate	85.79%	85.72%	-0.07%	100.00%
Hits	128628	128676	+48	195
Misses	21303	21436	+133	0

Diff coverage report

Full coverage report

Modules coverage

Coverage did not change

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
• scalar_transport
• solid_mechanics
• solid_properties
• stochastic_tools
• subchannel
• thermal_hydraulics
• xfem

This comment will be updated on new commits.