Improved default PETSc options behaviour

[RemDelaporteMathurin]

Description

Summary

This PR refactors the way we treat petsc options.

Type of Change

• 🐛 Bug fix (non-breaking change which fixes an issue)
• ✨ New feature (non-breaking change which adds functionality)
• 💥 Breaking change (fix or feature that would cause existing functionality to not work as expected)
• 🔨 Code refactoring (no functional changes, no API changes)
• 📝 Documentation update
• ✅ Test update (adding missing tests or correcting existing tests)
• 🔧 Build/CI configuration change

Testing

• All existing tests pass locally (pytest)
• I have added new tests that prove my fix is effective or that my feature works

Code Quality Checklist

• My code follows the code style of this project (Ruff formatted: ruff format .)
• My code passes linting checks (ruff check .)
• I have performed a self-review of my own code
• I have commented my code, particularly in hard-to-understand areas

Documentation

• I have updated the documentation accordingly (if applicable)
• I have added docstrings to new functions/classes following the project conventions

Breaking Changes

Screenshots/Examples

Additional Notes

[codecov]

Codecov Report

❌ Patch coverage is 81.81818% with 4 lines in your changes missing coverage. Please review.
✅ Project coverage is 94.86%. Comparing base (b09927e) to head (9cb8a2a).

Files with missing lines	Patch %	Lines
src/festim/problem.py	80.95%	4 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff             @@
##           fenicsx    #1077      +/-   ##
===========================================
+ Coverage    94.77%   94.86%   +0.09%     
===========================================
  Files           44       44              
  Lines         3175     3177       +2     
===========================================
+ Hits          3009     3014       +5     
+ Misses         166      163       -3     

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