pymor.reductors.coercive
¶
Module Contents¶
Classes¶
Reduced Basis reductor for 

Instantiated by 

Reductor for linear 

Instantiated by 
 class pymor.reductors.coercive.CoerciveRBReductor(fom, RB=None, product=None, coercivity_estimator=None, check_orthonormality=None, check_tol=None)[source]¶
Bases:
pymor.reductors.basic.StationaryRBReductor
Reduced Basis reductor for
StationaryModels
with coercive linear operator.The only addition to
StationaryRBReductor
is an error estimator which evaluates the dual norm of the residual with respect to a given inner product. For the reduction of the residual we useResidualReductor
for improved numerical stability [BEOR14].Parameters
 fom
The
Model
which is to be reduced. RB
VectorArray
containing the reduced basis on which to project. product
Inner product for the orthonormalization of
RB
, the projection of theOperators
given byvector_ranged_operators
and for the computation of Riesz representatives of the residual. IfNone
, the Euclidean product is used. coercivity_estimator
None
or aParameterFunctional
returning a lower bound for the coercivity constant of the given problem. Note that the computed error estimate is only guaranteed to be an upper bound for the error when an appropriate coercivity estimate is specified.
 class pymor.reductors.coercive.CoerciveRBEstimator(residual, residual_range_dims, coercivity_estimator)[source]¶
Bases:
pymor.core.base.ImmutableObject
Instantiated by
CoerciveRBReductor
.Not to be used directly.
 class pymor.reductors.coercive.SimpleCoerciveRBReductor(fom, RB=None, product=None, coercivity_estimator=None, check_orthonormality=None, check_tol=None)[source]¶
Bases:
pymor.reductors.basic.StationaryRBReductor
Reductor for linear
StationaryModels
with affinely decomposed operator and rhs.Note
The reductor
CoerciveRBReductor
can be used for arbitrary coerciveStationaryModels
and offers an improved error estimator with better numerical stability.The only addition is to
StationaryRBReductor
is an error estimator, which evaluates the norm of the residual with respect to a given inner product.Parameters
 fom
The
Model
which is to be reduced. RB
VectorArray
containing the reduced basis on which to project. product
Inner product for the orthonormalization of
RB
, the projection of theOperators
given byvector_ranged_operators
and for the computation of Riesz representatives of the residual. IfNone
, the Euclidean product is used. coercivity_estimator
None
or aParameterFunctional
returning a lower bound for the coercivity constant of the given problem. Note that the computed error estimate is only guaranteed to be an upper bound for the error when an appropriate coercivity estimate is specified.
 class pymor.reductors.coercive.SimpleCoerciveRBEstimator(estimator_matrix, coercivity_estimator)[source]¶
Bases:
pymor.core.base.ImmutableObject
Instantiated by
SimpleCoerciveRBReductor
.Not to be used directly.