To use NGSolve with a web GUI, you will need to install the following Python packages:

1. ngsolve: This is the main NGSolve package, which provides the finite element solver and various tools for working with finite element meshes and functions.
2. jupyter: This is the Jupyter Notebook package, which you will use to create the web GUI for your NGSolve application.
3. ipywidgets: This package provides interactive HTML widgets for Jupyter, which you can use to build the user interface for your NGSolve application.
4. matplotlib: This is a plotting library for Python, which you can use to create plots and graphs to display in your NGSolve web GUI.

To install these packages, you can use pip, the Python package manager. For example, you can install the ngsolve package by running the following command:

pip install ngsolve jupyter ipywidgets matplotlib

You can install the other packages in the same way.

webgui_jupyter_widgets is a package that provides tools for building web GUIs using Jupyter and the ipywidgets package. It is not a required package for using NGSolve with a web GUI, but it can be helpful if you want to create a more advanced or custom GUI for your NGSolve application.

To install the webgui_jupyter_widgets package, you can use pip, the Python package manager. For example, you can install the package by running the following command:

pip install webgui_jupyter_widgets

Once the package is installed, you can import it in your Jupyter notebook and use its functions to create custom widgets and layout your GUI.