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May 7, 2026Open Access

Projected Gradient stabilization for unfitted finite element methods with application to tumor growth

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JBJan-Phillip Bäcker

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Overview

Randomized trial investigates numerical stabilization in tumor growth models, suggesting improved method accuracy.

Key Points

  • This work aims to enhance the stability and accuracy of unfitted finite element methods applied to tumor growth models.
  • Introduced new ghost penalty based on Laplacian operator discretization.
  • Developed a diffuse-interface description using level set representation.
  • Evaluated stability and convergence through theoretical analysis and numerical examples.
  • Achieved second order convergence in L2 for the discrete problem under the proposed stabilization.
  • Demonstrated effective performance in numerical examples of tumor growth and convection-diffusion problems.
  • Showed good agreement with published results, highlighting the method's robustness.

Cite This Study

Jan-Phillip Bäcker (2026) studied this question.

synapsesocial.com/papers/69fc2c718b49bacb8b347fe7https://doi.org/10.17877/de290r-26611
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