nonlin_evol_gen_reduced_data.m File Reference

method which produces reduced_data, which is the data, that will be passed to an online-algorithm. More...

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Functions
function reduced_data =	nonlin_evol_gen_reduced_data (model, detailed_data, params)
	method which produces reduced_data, which is the data, that will be passed to an online-algorithm. More...

Detailed Description

method which produces reduced_data, which is the data, that will be passed to an online-algorithm.

Definition in file nonlin_evol_gen_reduced_data.m.

Function Documentation

function reduced_data = nonlin_evol_gen_reduced_data	(		model,
			detailed_data,
			params
	)

method which produces reduced_data, which is the data, that will be passed to an online-algorithm.

Therefore, no quantities dependent on the high-dimension \(H\) may be included here. Neither may online-data include parameter-dependent \(\mu\)-quantities. So no complete grid or detailed solutions or reduced basis vectors may be stored here. So online data is produced in the offline stage, but may be used in online-stages. So the computation time may depend on \(H\), but the results may not depend on this complexity.

allowed dependency of generated data

• Nmax,
• Mmax

not allowed dependency of data

• H

allowed dependency of computation

• Nmax,
• Mmax,
• H

Unknown at this stage

• mu,

Parameters

model	model
detailed_data	detailed data
params	params

Return values

reduced_data

reduced data

Required fields of model:

• stencil_mode —  stencil mode
• verbose —  flag indicating the verbosity level of informative output
• local_stencil_size —  local stencil size
• rb_init_values —  rb init values
• rb_operators —  rb operators
• filecache_velocity_matrixfile_extract —  filecache velocity matrixfile extract
• M —  M
• get_inner_product_matrix —  function W=f(model_data) returning the mass matrix \(W\) for inner product computation \(\langle u,v \rangle = u^t W v\).
• get_rb_size —  get rb size

Required fields of detailed_data:

• RB —  RB
• QM —  QM
• W —  W
• BM —  BM
• grid —  a structure containing geometry information of a mesh used for the discretizations
• TM —  TM
• implicit_crb_index —  implicit crb index
• explicit_crb_index —  explicit crb index
• time_split_map —  time split map

Generated fields of reduced_data:

• a0 —  a cell array sequence of N-vector components of initial data projection
• LL_E —  a cell array sequence of N x N component-Matrices of explicit operator evaluations.
• LL_I —  a cell array sequence of N x N component-Matrices of implicit operator evaluations.
• bb_I —  a cell array sequence of N-vector components of the implicit offset
• DE —  Nmax x Mmax cross correlation matrix between detailed_data.QM and detailed_data.RB
• BM —  Mmax x Mmax interpolation matrix of empirical interpolation.
• grid_local_ext —  part of the grid containing the cells TM plus their neighbours to be used for local operator evaluation
• TM_local —  indices of magic-point-elements in the grid_local_ext
• RB_local_ext —  reduced basis vector values restricted to the support of grid_local_ext
• Nmass —  Nmass
• Mmass —  Mmass
• implicit_crb_index —  implicit crb index
• explicit_crb_index —  explicit crb index
• time_split_map —  time split map
• N —  N
• M —  M
• Mstrich —  Mstrich

Documentation Update:

Definition at line 17 of file nonlin_evol_gen_reduced_data.m.