Package NonlinEvol

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Detailed Description

Reduced basis implementation for non-linear evolution equations.

This package defines the ReducedModelIf and a ReducedDataCreator for RBmatlab models which can be used for reduced basis generation with a BasisGenerationIf object.

See also the sections

• (M2) Reduced basis generation for a description of how to generate a reduced basis and
• Finite volume for RBmatlab implementations of parametrized non-linear evolution equations.

Classes
class	DetailedModel
	IDetailedModel implementation for a non linear evolution problem. More...
class	ReducedData
	Reduced data implementation for non-linear evolution problems with finite volume discretizations. More...
class	ReducedModel
	reduced model for non-linear evolution problems as given by a NonlinEvol.DetailedModel. More...
class	DetailedData
	class generating the reduced basis space for the LinEvol problem with a Greedy algorithm. More...
class	EiRbReducedDataNode
	Reduced data implementation for non-linear evolution problems with finite volume discretizations. More...
class	EiReducedDataNode
	Implementation of a Greedy.User.IReducedDataNode storing reduced data depending on collateral reduced basis space information only (e.g. interpolation DOFs and a local grid). More...
class	RbReducedDataNode
	Implementation of a Greedy.User.IReducedDataNode storing reduced data depending on reduced basis space information only. (e.g. reduced matrices of operators) More...
Functions
function ModelDescr descr =	descr_default ()
	default discretization description for problems

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Function Documentation

function ModelDescr descr = NonlinEvol.descr_default

(

)

default discretization description for problems

Return values:

descr

descr

Generated fields of descr:

• L_E_local_ptr —  l e
• L_I_local_ptr —  l e
• fv_expl_conv_weight —  e c w
• fv_expl_diff_weight —  e d w
• fv_expl_react_weight —  e r w
• fv_impl_conv_weight —  i c w
• fv_impl_diff_weight —  i d w
• fv_impl_react_weight —  i r w
• implicit_operators_algorithm —  i o a
• operators_diff_implicit —  zero
• operators_conv_implicit —  zero
• operators_neumann_implicit —  zero
• init_values_algorithm —  fv_init_values()
• filecache_ignore_fields_in_model —  filecache
• inner_product_matrix_algorithm —  fv_inner_product_matrix()
• inner_product —  fv_inner_product()
• get_inner_product_matrix —  extracts inner product matrix from model_data.
• laplacian_ptr —  laplacian
• laplacian_derivative_ptr —  laplacian derivative
• newton_solver —  no
• newton_epsilon —  1e-11
• geometry_transformation —  none

Definition at line 2 of file descr_default.m.