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17 lines
553 B
17 lines
553 B
3 years ago
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% @Author: Jingqiao Hu
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% @Date: 2021-10-06 14:46:55
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% @LastEditTime: 2021-10-06 14:46:55
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%--------------------------
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%Heaviside function
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function H=Heaviside(phi,globalx,globaly,epsilon)
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alpha=1e-3; % parameter alpha in the Heaviside function
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num_all=[1:(globalx+1)*(globaly+1)]';
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num1=find(phi>epsilon);
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H(num1)=1;
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num2=find(phi<-epsilon);
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H(num2)=alpha;
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num3=setdiff(num_all,[num1;num2]);
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H(num3)=3*(1-alpha)/4*(phi(num3)/epsilon-phi(num3).^3/(3*(epsilon)^3))+ (1+alpha)/2;
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end
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