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math.NA2023
Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces
Zhengjie Sun, Leevan Ling, Meng Chen
In this paper, we propose a general meshless structure-preserving Galerkin method for solving dissipative PDEs on surfaces. By posing the PDE in the variational formulation and sim…
math.NA2023
Proving the stability estimates of variational least-squares Kernel-Based methods
Meng Chen, Leevan Ling, Dongfang Yun
Motivated by the need for the rigorous analysis of the numerical stability of variational least-squares kernel-based methods for solving second-order elliptic partial differential…