pymor.reductors.ph.basic

Module Contents

class pymor.reductors.ph.basic.PHLTIPGReductor(fom, V, QTE_orthonormal=False, pg_projection='ph_preserving')

Bases: pymor.reductors.basic.ProjectionBasedReductor

Petrov-Galerkin projection of an PHLTIModel.

Parameters:

• fom – The full order PHLTIModel to reduce.

• V – The basis of the trail space.

• QTE_orthonormal – If True, no E matrix will be assembled for the reduced Model. Set to True if V is orthonormal w.r.t. fom.Q.H @ fom.E.

• pg_projection –

  Choice of test space:

  • 'ph_preserving' (default): \(W = Q V\). Yields a reduced PHLTIModel with all pH structural properties preserved.

  • 'energy_stable': \(W = (J - R)^{-T} E V\). The reduced system is not pH, but the quadratic Hamiltonian is consistently inherited as \(\tilde{H}(\tilde{x}) = H(V \tilde{x})\), so the reduced state retains an energy interpretation. Requires \(J - R\) to be invertible.

Methods

build_rom
extend_basis
project_operators
project_operators_to_subbasis
reconstruct	Reconstruct high-dimensional vector from reduced vector u.

build_rom(projected_operators, error_estimator)

abstract extend_basis(**kwargs)

project_operators()

project_operators_to_subbasis(dims)

reconstruct(u, basis='V')

Reconstruct high-dimensional vector from reduced vector u.