rb_basis_generation.m File Reference

reduced basis construction with different methods More...

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Functions
function detailed_data =	rb_basis_generation (model, detailed_data)
	reduced basis construction with different methods More...

Detailed Description

reduced basis construction with different methods

Definition in file rb_basis_generation.m.

Function Documentation

function detailed_data = rb_basis_generation	(		model,
			detailed_data
	)

reduced basis construction with different methods

reduced basis construction with different methods. Performs computing and insertion of a field RB and RB_info into the detailed_data structure. detailed_data is assumed to contain the grid if required

Parameters

model	model
detailed_data	detailed data

Return values

detailed_data

detailed data

Required fields of model:

• mu_names —  cell array of parameter-names
• mu_ranges —  cell array of parameter-intervals
• RB_generation_mode — 
  • file_load : simple loading of reduced basis from a file
  • lagrangian : simple snapshots without orthonormalization
  • PCA_trajectory : simple detailed simulation and PCA of the
  • PCA_trajectories : simple detailed simulation and PCA of the trajectories with parameter vectors specified in model.RB_mu_list
  • greedy_uniform_fixed : greedy algorithm based on a uniform cartesian parameter grid
  • greedy_log_uniform_fixed : greedy algorithm based on a logarithmically uniform cartesian parameter grid
  • greedy_random_fixed : greedy algorithm based on a uniformly distributed random parameter set
  • greedy_refined : greedy algorithm based on a uniformly random parameter set with grid refinement
  • model_RB_basisgen : call individual model.RB_basisgen
  • none : skipping of basis generation
• use_generated_RB_basis —  use generated RB basis
• set_rb_in_detailed_data —  function detailed_data=f(detailed_data, newRB) updating the reduced basis vectors stored in detailed_data by assigning them to newRB.
• RB_mu_list —  RB mu list
• get_dofs_from_sim_data —  function u=f(sim_data) returning degrees of freedom stored in a sim_data structure.
• PCA_fixspace —  PCA fixspace
• get_inner_product_matrix —  function W=f(model_data) returning the mass matrix \(W\) for inner product computation \(\langle u,v \rangle = u^t W v\).
• RB_stop_Nmax —  RB stop Nmax
• training —  training
• RB_basisgen —  RB basisgen
• debug —  flag indicating wether debug output shall be turned on

Optional fields of model:

• RB_basis_filename —  name of file, that contains precomputed reduced basis RB in file_load mode
• RB_train_rand_seed —  set random seed for M_train generation in random mode
• RB_train_size —  number of training parameter vectors to ... generate in random-mode
• RB_numintervals —  vector indicating the number of intervals of the (coarse) grid in parameter space

Generated fields of detailed_data:

• RB —  reduced basis columns 1,...,Nmax
• RB_info —  depending on generation method some detailed information
• RB_info.M_train —  RB info.M train
• RB_info.MMesh0 —  RB info.MMesh0

Definition at line 17 of file rb_basis_generation.m.

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