145 citations · 147 across the 8 of their papers we have counts for
8 papers
Divergence/connection preservation scheme in the curvilinear domain with a small geometric approximation error
Sehun Chun, Taejin Oh
Additional grid points are often introduced for the higher-order polynomial of a numerical solution with curvilinear elements. However, those points are likely to be located slight…
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…
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…
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…
Nektar++: enhancing the capability and application of high-fidelity spectral/ element methods
David Moxey, Chris D. Cantwell, Yan Bao +14
Nektar++ is an open-source framework that provides a flexible, high-performance and scalable platform for the development of solvers for partial differential equations using the hi…
Quantum electrodynamic theory of the cardiac excitation propagation I: construction of quantum electrodynamics in the bidomain
Sehun Chun
To provide a unified theoretical framework ranging from a cellular-level excitation mechanism to organic-level geometric propagation, a new theory inspired by quantum electrodynami…
Geometric analysis on the unidirectionality of the pulmonary veins for atrial reentry
Sehun Chun
It is widely believed that the pulmonary veins (PVs) of the atrium play the central role in the generation of atrial reentry leading to atrial fibrillation, but its mechanism has n…
Relative acceleration approach for conduction failure of cardiac excitation propagation on anisotropic curved surfaces
Sehun Chun
In cardiac electrophysiology, it is important to predict the necessary conditions for conduction failure, the failure of the cardiac excitation propagation even in the presence of…