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I have attached a picture illustrating the labelling of the linear reactangle element which can be represented by the following equation

##u(x,y)=c_1+c_2 x +c_3 y +c_4 xy## (1)

##u_1=u(0,0)=c_1##

##u_2=u(a,0)=c_1+c_2a##

##u_3=u(a,b)=c_1+c_2a+c_3b+c_4ab##

##u_4=u(0,b)=c_1+c_3b##

I dont really understand these equations. I mean, how is equation (1) derived to represent a rectangle and how is ##u_i## for ##i=1..4## derived?

Thanks

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# Polynomial to represent a linear rectangle element

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