Where can I find the error estimates for using quadratures in FEM for parabolic equations?

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guys. I want to know where I can find something about variational crimes for using numerical integration in calculating integrals needed in FEM in case of a parabolic equation like Heat equation. All the articles and books about this matter are either too old to be found or about elliptical equations. Be noted that I need this for linear parabolic equations.

Thanks in advance.