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June 27, 2026Computational Methods in Applied Mathematics

Consistent and Convergent Discretizations of Helfrich-Type Energies on General Meshes

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Authors

VDVincent DegrooffPGPeter GladbachHOHeiner Olbermann

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Overview

Randomized trial examines discrete approximations of Helfrich-type energies on irregular meshes, highlighting their efficiency.

Key Points

  • This research aims to analyze discrete approximations of the second fundamental form on irregular meshes using a variational approach.
  • Analyzed discrete approximations of second fundamental form on piecewise affine functions.
  • Utilized Γ-convergence to rigorously formulate the approximation framework.
  • Provided numerical examples to demonstrate algorithm efficiency and accuracy.
  • Demonstrated improved accuracy in variational approximations on irregular meshes.
  • Showed efficiency in handling nonlinear problems through specific edge direction choices.

Cite This Study

Degrooff et al. (2026) studied this question.

synapsesocial.com/papers/6a3f6922aea7db3c1953ff54https://doi.org/10.1515/cmam-2025-0192
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