Resolve "Use new newton object in PDELab"

What does this MR do?

Updates the newton method from PDELab

Can this MR be accepted?

• I've read contribution guide
• Implemented
• Added/Updated tests
• Added/Updated documentation
• Pipelines passing

• Delete branch option set
• Fast-forwaded git merge is possible
• Added entry to CHANGELOG.md

Related issues

Closes #69 (closed)