Variational multiscale stabilized FEM for cardiovascular flows in complex arterial vessels under magnetic forces

DOI10.1515/CMB-2023-0118zbMATH Open1537.92037MaRDI QIDQ6544892

B. V. Rathish Kumar, Dipak Kumar Sahoo, Anil Rathi

Publication date: 27 May 2024

Published in: Computational and Mathematical Biophysics (Search for Journal in Brave)

zbMATH Keywords

wall shear stressstabilized finite element methoddiseased arterymagnetohydrodynamic Navier-Stokes

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Magnetohydrodynamics and electrohydrodynamics (76W05) Physiological flows (76Z05) Physiological flow (92C35)

Cites Work

• Analysis of a stabilized finite element approximation of the transient convection-diffusion-reaction equation using orthogonal subscales
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• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• Dynamic term-by-term stabilized finite element formulation using orthogonal subgrid-scales for the incompressible Navier-Stokes problem
• Numerical simulation of pulsatile flow of blood in a porous-saturated overlapping stenosed artery
• On subgrid multiscale stabilized finite element method for advection-diffusion-reaction equation with variable coefficients
• Variational multiscale error estimators for solid mechanics adaptive simulations: an orthogonal subgrid scale approach
• Analysis of a stabilized finite element approximation of the Oseen equations using orthogonal subscales
• Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
• Generalized finite difference method for 3-D viscous flow in stenotic tubes with large wall deformation and collapse

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