rb_init_values_separable.m File Reference

function computing initial values for a reduced simulation. More...

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Functions
function a0 =	rb_init_values_separable (IReducedModel rmodel,Greedy.DataTree.Detailed.RBLeafNode detailed_data, decomp_mode)
	function computing initial values for a reduced simulation. More...

Detailed Description

function computing initial values for a reduced simulation.

Definition in file rb_init_values_separable.m.

Function Documentation

function a0 = rb_init_values_separable	(	IReducedModel	rmodel,
		Greedy.DataTree.Detailed.RBLeafNode	detailed_data,
			decomp_mode
	)

function computing initial values for a reduced simulation.

This function can be used in case the initial values function \(u_0(\mu)\) is parameter separable, i.e. has the form

\[u_0(x;\mu) = \sum_{q=1}^{Q_{u_0}} \sigma^q_{u_0}(\mu) u_0^q(x)\]

.

Depending on the argument decomp_mode, this function returns

• decomp_mode == 0: \({\cal M}_{\text{red}}[u_0(\cdot;\mu)]\)
• decomp_mode == 1: \(\left\{ {\cal M}_{\text{red}}[u_0^q(\cdot)] \right\}_{q=1}^{Q_{u_0}}\)
• decomp_mode == 2: \(\left\{ \sigma^q(\mu) \right\}_{q=1}^{Q_{u_0}}\)

If the decomposition mode is 2 == coefficients, the detailed_data are superfluous, can (and should for \(H\)-independence) be empty.

Parameters

rmodel	reduced model .
detailed_data	detailed data tree leaf object .
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.

Return values

a0	coefficient vector of size 1 x N for the initial values.

Required fields of rmodel:

• init_values_algorithm —  name of function for computing the detailed initvalues-DOF with arguments (grid, params)
  • example: fv_init_values()
• descr —  descr

Required fields of detailed_data:

• model_data —  model data
• RB —  RB

Documentation Update:

Definition at line 17 of file rb_init_values_separable.m.

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