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math.NA2020
High-order covariant differentiation in applications to Helmholtz-Hodge decomposition on curved surfaces
Sehun Chun
A novel high-order numerical scheme is proposed to compute the covariant derivative, particularly for divergence and curl, on any curved surface. The proposed scheme does not requi…
math.NA2020
PDE-induced connection of moving frames for the Atlas of the cardiac electric propagation on 2D atrium
Sehun Chun, Chris Cantwell
As another critical implementation of moving frames for partial differential equations, this paper proposes a novel numerical scheme by aligning one of three orthogonal unit vector…
math.NA2019
Numerical study on the effect of geometric approximation error in the numerical solution of PDEs using a high-order curvilinear mesh
Sehun Chun, Julian Marcon, Joaquim Peiro +1
When time-dependent partial differential equations (PDEs) are solved numerically in a domain with curved boundary or on a curved surface, mesh error and geometric approximation err…