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I've seen in other document classes that one can input the authors' institutes via special commands, for example in revtex4 I can put

title{Aggregation According to Classical Kinetics---From Nucleation to 

Coarsening}

author{Yossi Farjoun}

email{yfarjoun@math.mit.edu}

thanks{Corresponding author}

affiliation{G. Mill'an Institute of Fluid Dynamics, Nanoscience and Industrial

Mathematics, Universidad Carlos III de Madrid, Spain}

author{John C. Neu}%

email{neu@math.berkeley.edu}

affiliation{Department of Mathematics, University of California, Berkeley}

and it gets typeset nicely:

--snip--

Is there a nice of doing the same with plain-old article?

The authblk package does this:

documentclass[a4paper]{article}

usepackage[affil-it]{authblk}



begin{document}



title{Aggregation According to Classical Kinetics---From Nucleation to

Coarsening}



author{Yossi Farjoun%

  thanks{Electronic address: texttt{yfarjoun@math.mit.edu}; Corresponding author}}

affil{G. Mill'an Institute of Fluid Dynamics,\ Nanoscience and Industrial

Mathematics,\ Universidad Carlos III de Madrid, Spain}



author{John C. Neu%

  thanks{Electronic address: texttt{neu@math.berkeley.edu}}}

affil{Department of Mathematics, University of California, Berkeley}



date{Dated: today}



maketitle



end{document}

Some tweaking to @maketitle may be necessary, for example

makeatletter

def@maketitle{%

  newpage

  null

  vskip 2em%

  begin{center}%

  let footnote thanks

    {Largebfseries @title par}%

    vskip 1.5em%

    {normalsize

      lineskip .5em%

      begin{tabular}[t]{c}%

        @author

      end{tabular}par}%

    vskip 1em%

    {normalsize @date}%

  end{center}%

  par

  vskip 1.5em}

makeatother

With this you'd get

As article doesn't support it, you may use a titlepage environment. If you would like just to use the standard maketitle, you could redefine this command or hook into the author macro.

The author is typeset using a simple table:

begin{tabular}[t]{c}%

  @author

end{tabular}par}

So, you could use tabular features inside the argument to author. Simply use \ for a new row, perhaps several times. It would be set below and centered. Demonstrating tabular commands:

documentclass[titlepage]{article}

usepackage[onehalfspacing]{setspace}

begin{document}

title{Aggregation According to Classical Kinetics---From

    Nucleation to Coarsening}

author{Yossi Farjoun \

  multicolumn{1}{p{.7textwidth}}{centeringemph{G. Mill'an Institute

  of Fluid Dynamics, Nanoscience and Industrial Mathematics,

  Universidad Carlos III de Madrid, Spain}}}

maketitle

end{document}

Output:

You could add further rows for further authors and institutes.

This is just a workaround and a demonstration what happens internally. I would recommend to use a titlepage environment instead of misusing the article maketitle feature that isn't intended to be used with an institute.

If for some reason you need compatibility with Beamer's institute command, you can also add it to maketitle using etoolbox:

documentclass{article}

usepackage{etoolbox}

makeatletter

providecommand{institute}[1]{% add institute to maketitle

  apptocmd{@author}{end{tabular}

    par

    begin{tabular}[t]{c}

    #1}{}{}

}

makeatother



title{Test}

author{Tester 1 and Tester 2}

institute{University of Testing and University of Diagnostics}

date{2019}



begin{document}

maketitle

end{document}