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math.NA2026
Optimized Stencil Strategy for the Generalized Finite Difference Method: Application to Steady-State Non-Linear Problems
Stéphane Clain, Jorge Figueiredo
We propose an optimized stencil strategy for the Generalized Finite Difference Method (GFDM) applied to non-linear problems. We take advantage of the flexibility of GFDM to enginee…
math.NA2026
Structural schemes for hamiltonian systems
Stéphane Clain, Emmanuel Franck, Victor Michel-Dansac
We present an adaptation of the so-called structural method \cite{CMM23} for Hamiltonian systems, and redesign the method for this specific context, which involves two coupled diff…
math.NA2026
Efficient and well-conditioned ghost-point discretization of boundary operators on unfitted domains
Armando Coco, Alessandro Coclite, Stéphane Clain +1
Unfitted boundary methods are widely used to numerically solve partial differential equations (PDEs) on irregular domains, avoiding the computational burden of generating boundary-…