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annotate +scheme/Scheme.m @ 1305:b5907140c069 feature/poroelastic

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Clean up hollow D2 generation by using precomputed coefficients stored in mat files
author Martin Almquist <malmquist@stanford.edu>
date Mon, 13 Jul 2020 14:21:41 -0700
parents af397cc35239
children 514a98f9f90d c12b84fe9b00
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1 % Start with all matrix returns. When that works see how we should generalize
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2 % to non-matrix stuff/nonlinear
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3 classdef Scheme < handle
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4 properties (Abstract)
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5 order % Order accuracy for the approximation
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7 grid
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9 D % non-stabalized scheme operator
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10 H % Discrete norm
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11 end
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13 methods (Abstract)
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14 % Closure functions return the opertors applied to the own doamin to
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15 % close the boundary Penalty functions return the opertors to force
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16 % the solution. In the case of an interface it returns the operator
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17 % applied to the other doamin. In some cases the penalty return value
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18 % can be ommited and the closure function take care of both parts.
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19 % boundary is a string specifying the boundary e.g.
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20 % 'l','r' or 'e','w','n','s'.
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21 % type is a string specifying the type of
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22 % boundary condition if there are several.
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23 % neighbour_scheme is an instance of Scheme that should be
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24 % interfaced to.
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25 % neighbour_boundary is a string specifying which boundary to
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26 % interface to.
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27 % penalty may be a cell array if there are several penalties with different weights
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28 [closure, penalty] = boundary_condition(obj,boundary,type) % TODO: Change name to boundaryCondition
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30 % type -- sets the type of interface, could be a string or a struct or something else
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31 % depending on the particular scheme implementation
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32 [closure, penalty] = interface(obj,boundary,neighbour_scheme,neighbour_boundary,type)
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34 % TODO: op = getBoundaryOperator()??
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35 % makes sense to have it available through a method instead of random properties
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37 % Returns the number of degrees of freedom.
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38 N = size(obj)
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39 end
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41 methods(Static)
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42 % Calculates the matrcis need for the inteface coupling between
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43 % boundary bound_u of scheme schm_u and bound_v of scheme schm_v.
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44 % [uu, uv, vv, vu] = inteface_coupling(A,'r',B,'l')
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45 function [uu, uv, vv, vu] = interface_coupling(schm_u,bound_u,schm_v,bound_v)
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46 [uu,uv] = schm_u.interface(bound_u,schm_v,bound_v);
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47 [vv,vu] = schm_v.interface(bound_v,schm_u,bound_u);
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48 end
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49 end
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50 end