Update listview on multiple list in SharePoint 2010

Our member system is a SharePoint 2010, where each member has its own site. Each site has a document library to handle the member documents. The default view needed some extra columns and information. Here is the powershell script to create a new view and make it default:

Add-PSSnapin Microsoft.SharePoint.PowerShell -erroraction SilentlyContinue
$webapplication = Get-SPWebApplication "Web"
foreach($site in $webapplication.Sites){
    foreach($web in $site.AllWebs){
     
$listCounter = $web.Lists.Count
for($i=0;$i -le $listCounter;$i++) {

    $list = $web.Lists[$i]
    if($list.BaseType -eq "DocumentLibrary") {
    $newList = $web.Lists.item($list.ID);


  $viewfields = New-Object System.Collections.Specialized.StringCollection
  $viewfields.Add("Type")
  $viewfields.Add("Navn")
  $viewfields.Add("Emne")
  $viewfields.Add("Medlemsid")
  $viewfields.Add("Oprettet")
  $viewfields.Add("Sagsid")
  

  [void]$newList.Views.Add("Filer", $viewfields, "", 100, $true, $true)
  $newList.Update();

  $view=$newList.Views["Filer"]
  $view.DefaultView = $true
  $view.Update()
}
}

$web.Dispose();
}
}
$site.Dispose();