Scripts

Detailed Description

Files
file	adaptive_basisgen_admos2007.m
	script for generating the MCMDS basis generation images
file	advection_fv_output.m
	small script implementing a simple advection example for producing matrices to be used in the RB-DS framework Discretization with FV Functions
file	advection_fv_output_mcmds.m
	small script implementing a simple advection example for producing matrices to be used in the RB-DS framework Discretization with FV Functions. Used for the mcmds lin-ds paper.
file	advection_fv_output_morepas.m
	small script implementing a simple advection example for producing matrices to be used in the RB-DS framework Discretization with FV Functions
file	advection_fv_output_vconst.m
	small script implementing a simple advection example for producing matrices to be used in the RB-DS framework Discretization with FV Functions. The steps generate the results for the at-Automatisierungstechnik 2010 Paper
file	advection_ldg.m
	small script implementing a simple advection example Discretization with LDG Functions
file	advection_Nadapt.m
	small script demonstrating RB-approach with adaptive N choice for a simple advection problem. Only dirichlet-data parametrization, should be made more complex later. Demonstrates the unequal error estimator increase is a motivation for model adaptivity.
file	basisgen.m
	Script basisgen: demonstration of functionality for basis generation and generation of plots for comparing different methods.
file	buckley_leverett.m
	small script demonstrating a buckley leverett problem discretization and RB model reduction
file	burgers_fv.m
	small script demonstrating the burgers equation with explicit fv discretization and RB model reduction
file	burgers_fv_interpol.m
	small script demonstrating the burgers equation with explicit fv discretization and RB model reduction laxfriedrichsflux
file	chemnitz_gdl_experiments.m
	script collecting the commands for running the chemnitz-experiments i.e. for the paper
file	cmp_rb_detailed_simulation.m
	small script performing a reduced basis simulation and a detailed simulation for specified parameters. Hereby, visual difference can checked.
file	cmp_rb_lin_nonlin_evol.m
	small script performing a reduced basis simulation with the linear and nonlinear scheme and plotting the results the detailed_data for the nonlinear case can be modified and the simulation parameters switched, hereby checking suitability of a colateral basis for different parameter settings.
file	compute_gdl_velocity2.m
	script computing a velocity field for simple gdl model by solving a laplace problem with suitable boundary conditions
file	conservation_test.m
	test of conservativity of galerkin projection by the linear-fv approach. motivation of a conservative RB scheme is demonstrated with this example: The reduced scheme is not conservative, the missing conservativity correlates with the l1-error. So a conservative RB-scheme may result in a more accurate RB-scheme
file	Contents.m
	SCRIPTS.
file	convdiff.m
	small script demonstrating the convdiff example from the M2AN Paper, that is also implemented in Dune. Later it will be possible to use the Dune implementation through a mex interface.
file	convdiff_new.m
	small script demonstrating the convdiff example from the M2AN Paper, that is also implemented in Dune. Later it will be possible to use the Dune implementation through a mex interface.
file	duneconvdiff.m
	small script demonstrating the convdiff example from the M2AN Paper, that is also implemented in Dune. Later it will be possible to use the Dune implementation through a mex interface. Martin Drohmann 06.05.2009 based on burgers_fv.m by Bernard Haasdonk 14.8.2007
file	follicle_experiments.m
	experiments with the model of the human follicle growth
file	follicle_model.m
	model of the human follicle growth
file	follicle_rect_experiments.m
	experiments with the model of the human follicle growth
file	gdl_Nadapt.m
	dgl_adaptivity
file	gen_burgers_movie.m
	small script generating a movie of simulation sequences
file	gen_burgers_mpg.m
	small script generating a movie of simulation sequences
file	gen_nonlin_symmetry_mpg.m
	small script generating a movie of simulation sequences
file	get_nonlin_evol_params.m
	small script setting basic params structure for nonlin_evol problem
file	lin_ds_adjoint_experiments.m
	script performing different experiments for linear dynamical system
file	MoRePaS09_fuelcell_gdl.m
	small script demonstrating RB-approach for the fuelcell-gdl with the MoRePaS09 initial data, i.e. Logo for the Workshop Model Reduction of Parametrized Systems
file	newton.m
	small script demonstrating a buckley leverett problem discretization and RB model reduction
file	newton_steps.m
	small script demonstrating a buckley leverett problem discretization and RB model reduction
file	nonlin_symmetry.m
	small script demonstrating the burgers equation with explicit fv discretization and RB model reduction example is meant to demonstrate automatic symmetry detection by the algorithm. These results are presented at HYP2008
file	rb_nonlin_error_convergence.m
	small script performing a reduced basis simulation with the linear and nonlinear scheme and plotting the results
file	rbf_elliptic.m
	function for meshless collocation of fem-problem. step can be used to choose several cases. step=1 does not need to be called directly but is used by the other steps. So call step=2, 3 and change options there.
file	richards_fv.m
	small script demonstrating the richards equation with explicit fv discretization and RB model reduction Bernard Haasdonk 14.8.2007
file	riemann_burgers.m
	script demonstrating the burgers equation with explicit fv discretization, empirical interpolation and RB model reduction
file	simtech_animation.m
	small script performing animation, that can be captured
file	simtech_fuelcell_gdl.m
	small script demonstrating RB-approach for the fuelcell-gdl with the simtech image initial data
file	step10_plot_trajectories.m
	script generating a tikz graphic showing trajectories for certain selected parameters
file	step1_detailed_simulation.m
	script performing a single detailed simulation and plotting it.
file	step2_empirical_interpolation.m
	script constructing a collateral reduced basis space for localized space operators.
file	step3_detailed_ei_simulation.m
	script performing a detailed simulation with empirical interpolated operators comparing the result with a regular detailed simulation.
file	step4_dummy_reduced_basis.m
	script constructing a reduced basis from a single trajectory and performing a detailed simulation where the data is projected on the dummy reduced basis space after each time step.
file	step5_rb_generation.m
	script constructing a reduced basis space
file	step6_demo_rb_gui.m
	script comparing time for a reduced and a detailed simulation and starting the demonstration GUI
file	step7_error_landscape.m
	script generating error landscapes by computing the true error of reduced simulations vs. detailed simulations for given test parameters over differing basis sizes.
file	step8_estimator_landscape.m
	script generating landscapes plot data by computing the error estimator of reduced simulations for given test parameters over differing basis sizes.
file	test_ei.m
	small script testing the empirical interpolation
file	test_lin_nonlin_evol.m
	small script performing one time step in linear and nonlinear mode and comparing the error. The error should ideally only be in the order of 10^-15
file	test_local_operator_evaluation.m
	small script testing, whether detailed and local operator evaluation are the same for detailed_nonlin_evol_simulation
file	thermal_block.m
	step = 1; % single detailed simulation and plot step = 2; % affine decomposition of FEM-matrix and RHS
file	thermalblock.m
	thermalblock example
file	thermalblock_optimization.m
	Script performing different steps of optimization project.
file	ulm_fuelcell_gdl.m
	small script demonstrating RB-approach for the fuelcell-gdl with the simtech image initial data
file	weak_strong_POD_Greedy_comp.m
	script comparing weak and strong POD-Greedy on lin_evol default example