Detailed model for a linear stationary problem with a Finite element discretization.
This is a detailed model for a problem type rb_problem_type
= "LinStat"
It solves finite element discretization of the form
\[ A u = r, \]
with a matrix \(A\) and a right hand side \(r\) returned by [A,r] = descr.operators(descr, model_data)
Furthermore, an output fuctional can be defined by the description field descr.operators_output(descr, model_data);
Definition at line 18 of file DetailedModel.m.
Public Member Functions | |
DetailedModel (ModelDescr descr) | |
constructor based on problem description More... | |
function
sim_data = | detailed_simulation (ModelData model_data) |
function performing the detailed simulation of a lin-stat model, i.e. the matrix and RHS assembly and solving of the system, possibly also output computation. More... | |
function ModelData model_data = | gen_model_data () |
generates large model data. More... | |
function p = | plot_sim_data (ModelData model_data, sim_data, plot_params) |
plots the simulation data as returned by detailed_simulation() More... | |
Public Member Functions inherited from IDetailedModel | |
IDetailedModel (descr) | |
constructor More... | |
function
isequal = | eq (IDetailedModel other) |
overloaded equality (== ) operator, by default comparing the descr variables More... | |
function IDetailedModel this = | set_mu (mu) |
sets the active parameter vector \(\mu \in {\cal M}\) More... | |
function mu = | get_mu () |
returns the active parameter vector \(\boldsymbol\mu \in {\cal M}\) More... | |
virtual function
sim_data = | detailed_simulation (model_data) |
executes a detailed simulation for a given parameter More... | |
virtual function p = | plot_sim_data (model_data, sim_data, plot_params) |
plots the simulation data as returned by detailed_simulation() More... | |
Static Public Member Functions | |
static function U = | get_dofs_from_sim_data (sim_data) |
extracts the \(H\) dimensional Dof vector from the sim_data structure More... | |
Static Public Member Functions inherited from IModel | |
static function ok = | struct_check (descr, checks) |
executes checks on the fields of a structure object More... | |
Additional Inherited Members | |
Public Attributes inherited from IDetailedModel | |
descr | |
The description structure holding information about the analytical parametrized problem and its discretization. More... | |
decomp_mode | |
mu_names | |
cell array of strings describing the parameters of the model More... | |
mu_ranges | |
cell array of vectors of size two defining the allowed interval range for the parameter components More... | |
verbose | |
an integer defining the verbosity level of information output during basis generation More... | |
debug | |
an integer defining the debugging level controlling error output and extra tests during basis generation More... | |
Public Attributes inherited from IModel | |
num_cpus = 4 | |
The number of CPUs used for parallel sessions. More... | |
decomp_mode | |
Decomposition operation mode. More... | |
mu_names | |
cell array of strings describing the parameters of the model More... | |
mu_ranges | |
cell array of vectors of size two defining the allowed interval range for the parameter components More... | |
verbose | |
an integer defining the verbosity level of information output during basis generation More... | |
debug | |
an integer defining the debugging level controlling error output and extra tests during basis generation More... | |
Static Public Attributes inherited from IDetailedModel | |
static const | base_checks |
this structure holds variable names that need to be defined by the descr structure. More... | |
Static Public Attributes inherited from IModel | |
static const | time_checks |
This constant can be used for a consistency check of time evolution members in the ModelDescr with help of IModel.struct_check() More... | |
LinStat.DetailedModel.DetailedModel | ( | ModelDescr | descr | ) |
constructor based on problem description
descr | structure describing the problem and the discretization |
Definition at line 42 of file DetailedModel.m.
function sim_data = LinStat.DetailedModel.detailed_simulation | ( | ModelData | model_data | ) |
function performing the detailed simulation of a lin-stat model, i.e. the matrix and RHS assembly and solving of the system, possibly also output computation.
model_data | Matlab structure storing (possibly) high dimensional data needed by IDetailedModel.detailed_simulation(). |
sim_data | structure holding the \(H\)-dimensional simulation data. |
df_info —
feminfo object holding info about the Finite element function space.uh —
a femdiscfunc simulation result. s —
DOFs of the output functional. Definition at line 19 of file detailed_simulation.m.
|
virtual |
generates large model data.
This function generates e.g. a grid, which is not to be stored in the model, but required for numerics.
model_data | Matlab structure storing high dimensional data needed by detailed_simulation(). |
Implements IDetailedModel.
Definition at line 19 of file gen_model_data.m.
|
staticvirtual |
extracts the \(H\) dimensional Dof vector from the sim_data
structure
sim_data | matlab struct with simulation data generated e.g. by detailed_simulation() or rb_reconstruction() methods. |
U | \(H\) dimensional Dof vector |
Implements IDetailedModel.
Definition at line 63 of file DetailedModel.m.
function p = LinStat.DetailedModel.plot_sim_data | ( | ModelData | model_data, |
sim_data, | |||
plot_params | |||
) |
plots the simulation data as returned by detailed_simulation()
This method actually calls femdiscfunc.plot().
model_data | Matlab structure storing (possibly) high dimensional data needed by IDetailedModel.detailed_simulation(). |
sim_data | simulation data structure as returned by detailed_simulation() |
plot_params | structure which controls the plot output |
p | GUI handle to the created MATLAB figure |
uh —
discrete Finite element function (c.f. femdiscfunc)subsampling_level —
number of sampling steps for interpolation of discrete Finite element functions. (default = 10) title —
title of the plot Definition at line 19 of file plot_sim_data.m.