コマンド プロンプトの出力を Java TextArea にリダイレクトするにはどうすればよいですか?

<code class="java">import javax.swing.*;
import java.awt.*;
import java.io.*;

public class GUIPanel extends JFrame {
    private JTextArea textArea1;
    private PrintStream aPrintStream;
    
    public GUIPanel() {
        // Create a TextArea object to display the output
        textArea1 = new JTextArea();
        textArea1.setPreferredSize(new Dimension(432, 343));
        
        // Create a custom PrintStream to capture command prompt output
        aPrintStream = new PrintStream(new FilterOutputStream(new ByteArrayOutputStream()) {
            @Override
            public void write(byte[] b, int off, int len) {
                // Convert the byte array to a string and append it to the TextArea
                String output = new String(b, off, len);
                textArea1.append(output);
            }
        });
        
        // Redirect the System.out output to the custom PrintStream
        System.setOut(aPrintStream);
    }
    
    public static void main(String[] args) {
        // Create an instance of the GUIPanel class
        GUIPanel panel = new GUIPanel();
        
        // Set the panel visible
        panel.setVisible(true);
        
        // Print some text to the command prompt
        System.out.println("Hello, world!");
    }
}</code>