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Model implementations

Detailed Description

Collection of actual ModelDescr and BasisGenDescr structures.

The M-Files listed in this module all produce ModelDescr and/or BasisGenDescr structs, and can be used as in Section Example usage of a detailed model implementation or in Section Example usage of a reduced model implementation.

Files

file  burgers_1d_model.m
 simple model for Burgers PDE $d/dt x + d/d_xi (1/2 * v * x^2) = 0$ on the unit square xi in [0,1] with initial value x(.,0) = x0(.) = piecewise constant x_left and x_right on left/right half of domain and dirichlet boundary values x_left and x_right and discretization via Lax-friedrichs (central differences with numerical diffusion) The v is the velocity. the parameter vector is [x_left, x_right, v]
 
file  elliptic_discrete_model.m
 function creating a model with local functions out of a model with global functions. See detailed description for explanation.
 
file  renew_model.m
 change fields of old param structure to new model structure with excessive use of function pointers.
 
file  convdiff_model.m
 function creating a simple model for a linear convection diffusion problem
 
file  european_option_pricing_model.m
 model = european_option_pricing_model(params)
 
file  follicle_model.m
 model of the human follicle growth
 
file  follicle_rect_model.m
 model of the human follicle growth
 
file  laminar_flow_model.m
 Model of laminar flow (steady Navier-Stokes) around cylinder in a pipe.
 
file  multiscale_buckley_leverett_model.m
 initialization of micromodel for buckley leverett multiscale problem
 
file  convdiff_dune_descr.m
 convection diffusion example using dune-rb for high dimensional computations and data structures
 
file  laplace_dune_descr.m
 convection diffusion example using dune-rb for high dimensional computations and data structures
 
file  richards_fv_descr.m
 Non-linear evolution equation with geometry transformation and an example of the Richards equation.
 
file  quadratic_poisson_model.m
 quadratic poisson equation on unit interval
 
file  thermalblock_dd_model.m
 Custom thermalblock model used for domain decomposition.
 
file  thermalblock_model.m
 Thermal Block example similar as described in the book of A.T. patera and G. Rozza (just one parameter more)