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An eXtreme Mesh deformation method to follow sharp physical interfaces

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Contact
jean-francois.remacle@uclouvain.be
nicolas.moes@uclouvain.be

Papers

Hun, D-A., Moës, N., Olbermann, Heiner. (2025) Asymptotic meshes from r-variational adaptation methods for static problems in one dimension. [arXiv:2510.26375]

Chemin, A., Lambrechts, J., Moës N., & Remacle, J. F. (2025). Solving the Porous Medium Equation with the eXtreme Mesh deformation approach (X–Mesh). Journal of Computational Physics, 539, 114055. Available in [arXiv:2501.03083]

Moës, N., Lé, B., Chevaugeon, N., & Remacle, J. F. (2025). Phase-field and lip-field approaches for fracture with extreme mesh deformation (X-Mesh): a one-dimensional study. Comptes Rendus. Mécanique, 353(G1), 1027-1051. Available in [arXiv:2509.04971]

Quiriny, A., Kucera, V., Lambrechts, J., Moës, N., & Remacle, J. F. (2024). The tempered finite element method. [arXiv:2411.17564]

Quiriny, A., Lambrechts, J., Moës, N., & Remacle, J. F. (2024). X-Mesh: A new approach for the simulation of two-phase flow with sharp interface. Journal of Computational Physics, 501, 112775. Available in [arXiv:2302.03983]

Moës, N., Remacle, J. F., Lambrechts, J., Lé, B., & Chevaugeon, N. (2023). The eXtreme Mesh deformation approach (X-MESH) for the Stefan phase change model. Journal of Computational Physics, 477, 111878. Available in [arXiv:2111.04179]

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