Relative acceleration of orthonormal basis vectors for the geometric conduction blocks of the cardiac electric signal propagation on anisotropic curved surfaces
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Publication:6145481
DOI10.1016/j.jcpx.2023.100135MaRDI QIDQ6145481
Publication date: 9 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Riemann curvaturemoving framesrelative accelerationconduction blockcardiac electric signal propagation
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx) Parabolic equations and parabolic systems (35Kxx)
Cites Work
- High-order spectral/\(hp\) element discretisation for reaction-diffusion problems on surfaces: application to cardiac electrophysiology
- Method of moving frames to solve conservation laws on curved surfaces
- Method of moving frames to solve (an)isotropic diffusion equations on curved surfaces
- Nektar++: an open-source spectral/\(hp\) element framework
- Method of moving frames to solve the shallow water equations on arbitrary rotating curved surfaces
- Method of moving frames to solve time-dependent Maxwell's equations on anisotropic curved surfaces: applications to invisible cloak and ELF propagation
- Differential Forms and the Geometry of General Relativity
- Visual Differential Geometry and Forms
- Inertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
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