Function finalize_resolved_scalar_elliptic_cartesian 

pub fn finalize_resolved_scalar_elliptic_cartesian(
    program: &KernelProgram,
    resolved: &ResolvedRealization,
) -> Result<(ScalarEllipticCartesianModel, FinalizedScalarEllipticCartesianProblem), Diagnostic>

Finalize one resolved Cartesian scalar-elliptic realization for an independently selected linear execution adapter.

This is the default-assembly form of [finalize_resolved_scalar_elliptic_cartesian_with_assembly]. It performs canonical lowering, plan validation, mesh construction, local-operator evaluation, constraint handling, and deterministic sparse finalization, but deliberately does not select or invoke a solver backend.

Errors

Preserves exact lowering, Realization, discretization, and assembly diagnostics.