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QDDGOXgummelmap.m

function [odata,it,res] = QDDGOXgummelmap (imesh,Dsides,...
    Simesh,Sinodes,Sielements,SiDsides,Intsides,...
    idata,toll,maxit,ptoll,pmaxit,stoll,smaxit,verbose,options)

% [odata,it,res] = QDDGOXgummelmap (imesh,Dsides,...
%     Simesh,Sinodes,Sielements,SiDsides,Intsides,...
%     idata,toll,maxit,ptoll,pmaxit,stoll,smaxit,verbose,options);


clear global
global DDGOXNLPOISSON_LAP DDGOXNLPOISSON_MASS DDGOXNLPOISSON_RHS DDG_RHS DDG_MASS 

%%%%%%%%%%%%%%%
%% RRE param %%
RREnnit      = ;
RRErank      = 5;
RREpattern   = URREcyclingpattern(RREnnit,RRErank,maxit);

RREnnit2      = ;
RRErank2      = 4;
RREpattern2    = URREcyclingpattern(RREnnit2,RRErank2,smaxit);
%%%%%%%%%%%%%%%

Nnodes      = max(size(imesh.p));
Nelements   = max(size(imesh.t));
SiNnodes    = max(size(Simesh.p));
SiNelements = max(size(Simesh.t));

if (options.SRH==1)
    tn= idata.tn;tp=idata.tp;
else
    tn=Inf;tp=Inf;
end

V (:,1) = idata.V;
p (:,1) = idata.p;
n (:,1) = idata.n;
Fn(:,1) = idata.Fn;
Fp(:,1) = idata.Fp;

D       = idata.D;

Dedges    =;

for ii = 1:length(Dsides)
    Dedges=[Dedges,find(imesh.e(5,:)==Dsides(ii))];
end

% Set list of nodes with Dirichelet BCs
Dnodes = imesh.e(1:2,Dedges);
Dnodes = [Dnodes(1,:) Dnodes(2,:)];
Dnodes = unique(Dnodes);

Intedges    =[];

for ii = 1:length(Intsides)
    Intedges=[Intedges,find(Simesh.e(5,:)==Intsides(ii))];
end

% Set list of Interface nodes
Intnodes = Simesh.e(1:2,Intedges);
Intnodes = [Intnodes(1,:) Intnodes(2,:)];
Intnodes = unique(Intnodes);

SiDedges    =[];

for ii = 1:length(SiDsides)
    SiDedges=[SiDedges,find(Simesh.e(5,:)==SiDsides(ii))];
end

% Set list of nodes with Dirichelet BCs
SiDnodes = Simesh.e(1:2,SiDedges);
SiDnodes = [SiDnodes(1,:) SiDnodes(2,:)];
SiDnodes = unique(SiDnodes);

if (options.FD==1)
    FDn  = idata.FDn;
    FDp  = idata.FDp;
else
    FDn  = zeros(SiNnodes,1);
    FDp  = zeros(SiNnodes,1);
end

G (:,1) =  Fn(:,1) - V(Sinodes,1) - FDn + log(n(:,1));
if (options.holes==1)
    Gp (:,1) = Fp(:,1) - V(Sinodes,1) - FDp - log(p(:,1));
else
    Gp (:,1) = G(:,1)*0;
end



nrm=1;
for i=1:1:maxit
    if (verbose>=1)
        fprintf(1,'*****************************************************************\n');
        fprintf(1,'****    start of gummel iteration number: %d\n',i);
        fprintf(1,'*****************************************************************\n');
    end
    
    V(:,2)= V(:,1);
    G(:,2)= G(:,1);
    Gp(:,2)= Gp(:,1);
    n(:,2)= n(:,1);
    bohmdeltav=inf;
    for j=1:smaxit
        if (verbose>=1)
            fprintf(1,'*---------------------------------------------------------------*\n');
            fprintf(1,'****    start of Poisson-Bohm iteration number: %d (bohmdeltav=%g)\n',j,bohmdeltav);
            fprintf(1,'*---------------------------------------------------------------*\n');
        end


        if (verbose>1)
            fprintf(1,'solving non linear poisson equation\n\n');
        end

        [V(:,3),n(:,2),p(:,2)] =...
            QDDGOXnlpoisson (imesh,Dsides,Sinodes,[SiDnodes,Intnodes] ,Sielements,...
            V(:,2),n(:,1),p(:,1),Fn(:,1),Fp(:,1),G(:,2)+FDn,Gp(:,2)+FDp,D,...
            idata.l2,idata.l2ox,ptoll,pmaxit,verbose-1);

        n([SiDnodes,Intnodes],2) = idata.n([SiDnodes,Intnodes]);
        p([SiDnodes,Intnodes],2) = idata.p([SiDnodes,Intnodes]);
        V(Dnodes,3) = idata.V(Dnodes);

        if (verbose>1)
            fprintf(1,'solving non linear Bohm equation for electrons\n\n');
        end
        n(Intnodes,2) = idata.n(Intnodes);


        w       = QDDGOXcompdens(Simesh,[SiDsides,Intsides],sqrt(n(:,2)),V(Sinodes,3) + FDn,Fn(:,1),idata.dn2,stoll,smaxit,verbose-1);
        n(:,2)  = w.^2;
        n([SiDnodes,Intnodes],2) = idata.n([SiDnodes,Intnodes]);
        G(:,3)  = Fn(:,1) - V(Sinodes,3) - FDn + log(n(:,2));
        if (verbose>1)
            fprintf(1,'solving non linear Bohm equation for holes\n\n');
        end

        if (options.holes==1)

            p(Intnodes,2) = idata.p(Intnodes);
            wp      = QDDGOXcompdens(Simesh,[SiDsides,Intsides],sqrt(p(:,2)),-V(Sinodes,3) - FDp,...
                -Fp(:,1),idata.dp2,ptoll,pmaxit,verbose-1);
            p(:,2)  = wp.^2;
            p([SiDnodes,Intnodes],2) = idata.p([SiDnodes,Intnodes]);
            Gp(:,3) = Fp(:,1) - V(Sinodes,3) - FDp - log(p(:,2));

        else
            Gp(:,3)=G(:,3)*0;
        end


        if (options.FD==1)
            fprintf(1,'\n*** APPLYING FD STATISTICS ***\n')
            n(:,2) = idata.Nc*Ufermidirac(V(Sinodes,3)+G(:,3)-Fn(:,1)-log(idata.Nc),1/2);
            n(SiDnodes,2) = idata.n(SiDnodes);
            nMBtmp = exp(V(Sinodes,3)+G(:,3)-Fn(:,1));
            FDn    = log(n(:,2)./ nMBtmp);
            FDn(SiDnodes) = idata.FDn(SiDnodes);

            p(:,2) = idata.Nv*Ufermidirac(-V(Sinodes,3)-Gp(:,3)+Fp(:,1)-log(idata.Nv),1/2);
            p([SiDnodes,Intnodes],2) = idata.p([SiDnodes,Intnodes]);
            pMBtmp = exp(-V(Sinodes,3)-Gp(:,3)+Fp(:,1));
            FDp    = -log(p(:,2)./ pMBtmp);
            FDp(SiDnodes) = idata.FDp(SiDnodes);
        end

        bohmdeltav = norm(G(:,3)-G(:,2),inf) +...
            norm(Gp(:,3)-Gp(:,2),inf) +...
            norm(V(:,3)-V(:,2),inf);
        

        %%%% store result for RRE
        if RREpattern2(j)>0
            Gstore(:,RREpattern2(j)) = G(:,3);
            if RREpattern2(j+1)==0 % Apply RRE extrapolation
                G(:,3) = Urrextrapolation(Gstore);
            end
        end
        
        G(:,2)=G(:,3);     
        Gp(:,2)=Gp(:,3); 
        
         
        V(:,2)=V(:,3);


        if (bohmdeltav<=stoll)
            if (verbose>1)
                fprintf(1,'Exiting poisson-bohm iteration because bohmdeltav=%g\n\n',bohmdeltav);
            end
            break;
        end
    end

    if (verbose>1)
        fprintf (1,'\n\nupdating electron qfl\n\n');
    end

    mob = Ufielddepmob(Simesh,idata.un,Fn(:,1), ...
        idata.vsatn,idata.mubn);


    n(:,3) = DDGOXelectron_driftdiffusion(Simesh,SiDsides,n(:,2),p(:,2),...
                                V(Sinodes,3)+G(:,3)+FDn,mob,...
                                tn,tp,idata.n0,idata.p0);


    Fn(:,2)                  = V(Sinodes,3) + G(:,3) + FDn - log(n(:,3));
    Fn(SiDnodes,2)           = idata.Fn(SiDnodes);
    n([SiDnodes,Intnodes],3) = idata.n([SiDnodes,Intnodes]);

    %%%% store result for RRE
    if RREpattern(i)>0
        Fnstore(:,RREpattern(i)) = Fn(:,2);
        if RREpattern(i+1)==0 % Apply RRE extrapolation
            Fn(:,2) = Urrextrapolation(Fnstore);
        end
    end

    if (verbose>1)
        fprintf(1,'updating hole qfl\n\n');
    end

    mob = Ufielddepmob(Simesh,idata.up,Fp(:,1),idata.vsatp,idata.mubp);
    p(:,3) =DDGOXhole_driftdiffusion(Simesh,SiDsides,n(:,3),p(:,2),...
        V(Sinodes,3)+Gp(:,3)+FDp,mob,...
        tn,tp,idata.n0,idata.p0);


    if (options.holes==1)
        Fp(:,2)=V(Sinodes,3) + Gp(:,3) + FDp + log(p(:,3));
        p([SiDnodes,Intnodes],3) = idata.p([SiDnodes,Intnodes]);
    else
        Fp(:,2)=Fn(:,2) + 2 * log(idata.ni);
        p(:,3) = exp(Fp(:,2)-V(Sinodes,3)-FDp);
        p([SiDnodes],3) = idata.p([SiDnodes]);
    end
    Fp(SiDnodes,2) = idata.Fp(SiDnodes);

    if (verbose>1)
        fprintf(1,'checking for convergence\n\n');
    end

    nrfn= norm(Fn(:,2)-Fn(:,1),inf);
    nrfp= norm (Fp(:,2)-Fp(:,1),inf);
    nrv = norm (V(:,3)-V(:,1),inf);
    nrg = norm (G(:,3)-G(:,1),inf);
    nrgp = norm (Gp(:,3)-Gp(:,1),inf);
    nrm(i) = max([nrfn;nrfp;nrv;nrg;nrgp]);

    figure(2)
    semilogy(nrm)
    pause(.1)


    if (verbose>1)
        fprintf (1,' max(|phin_(k+1)-phinn_(k)| , |phip_(k+1)-phip_(k)| , |v_(k+1)-v_(k)|  |g_(k+1)-g_(k)|)= %d\n',nrm(i));
    end
    if (nrm(i)<toll)
        break
    end

    V(:,1) = V(:,end);
    G(:,1) = G(:,end);
    Gp(:,1) = Gp(:,end);
    n(:,1) = n(:,end);
    p(:,1) = p(:,end);
    Fn(:,1)= Fn(:,end);
    Fp(:,1)= Fp(:,end);


end

it = i;
res = nrm

if (verbose>0)
    fprintf(1,'\n\nDD: # of Gummel iterations = %d\n\n',it);
end

odata = idata;

odata.n  = n(:,end);
odata.p  = p(:,end);
odata.V  = V(:,end);
odata.Fn = Fn(:,end);
odata.Fp = Fp(:,end);
odata.G  = G(:,end);
odata.Gp  = Gp(:,end);



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