scm_minimal_model.m File Reference

model = scm_minimal_model(size) More...

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Functions
function model =	scm_minimal_model (size)
	model = scm_minimal_model(size) More...
function model_data =	scmminimalmodel>scm_minimal_model_gen_model_data (model)
function [ A , b ] =	scmminimalmodel>scm_minimal_model_operators (model, model_data)

Detailed Description

model = scm_minimal_model(size)

Definition in file scm_minimal_model.m.

Function Documentation

function model = scm_minimal_model

(

size

)

model = scm_minimal_model(size)

a minimal-example of size = size(input) with the following matrices

A =(1 0 0 ... 1 b = (0 K = (1 0 ... 0 1 1 0 ... 0 0 0 1 0 ... 0 0 1 1 0 ... 0 ... 0 0 1 0 ... 0 ..... 0) ..... 0 ... 0 1) 0 .... 0 1)

with A^1 = K and A^2 holding the rest of A so that A = (1-mu)*A^1 + mu*A^2 This is coercive for mu = 0 (with alpha = beta = 1) and inf-sup stable (but not coercive) for mu = 1. This minimal model is used in the scm_demo to proof, that the lin_stat inf-sup code is actually working.

Parameters

size

size

Return values

model

model

Generated fields of model:

• size —  size
• rb_problem_type —  rb problem type
• verbose —  flag indicating the verbosity level of informative output
• set_mu —  set mu
• get_mu —  get mu
• gen_model_data —  gen model data
• get_inner_product_matrix —  function W=f(model_data) returning the mass matrix \(W\) for inner product computation \(\langle u,v \rangle = u^t W v\).
• mu_names —  a string array containing the symbolic names of the parameter vector \(\mu\)
• mu —  the parameter vector \(\mu\). It should only be set via the function set_mu.
• mu_ranges —  matrix storing the admissable ranges for parameter vector components. Each two dimensional column vector represents a range for a component specified by model.mu_names.
• decomp_mode —  flag indicating the operation mode of the function:
  • 0 (complete) : no affine parameter dependence or decomposition is performed.
  • 1 (components) : for each output argument a cell array of output matrices is returned representing the \(q\)-th component independent of the parameters given in mu_names.
  • 2 (coefficients) : returns a vector where each coordinate represents the \(q\)-the coefficient \(\sigma_{\cdot}^{q}(\mu)\) dependent on the parameters given in mu_names.
• operators —  operators
• use_scm —  use scm
• scm_M_alpha —  scm M alpha
• scm_M_plus —  scm M plus
• scm_eps_tol —  scm eps tol
• scm_size_C —  scm size C

Definition at line 17 of file scm_minimal_model.m.

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