[HTML][HTML] Three-dimensional simulation of the lumbar spine under lumbar spinal stenosis with different sizes of spinal canal

D Prathumwan, I Chaiya, K Trachoo - Partial Differential Equations in …, 2024 - Elsevier
In this paper, we investigate the effect of body weight on the lumbar spine with different
spinal canal sizes when humans bend down by using the finite element method. Lumbar …

An extra-dof-free generalized finite element method for incompressible Navier-Stokes equations

W Sheng, Q Duan - Computer Methods in Applied Mechanics and …, 2025 - Elsevier
The generalized finite element method (GFEM) without extra degrees of freedom (dof) is
extended to solve incompressible Navier-Stokes (NS) equations. Unlike the existing extra …

A hybridizable discontinuous Galerkin method for the dual-porosity-Stokes problem

A Cesmelioglu, JJ Lee, S Rhebergen… - Computers & Mathematics …, 2024 - Elsevier
We introduce and analyze a hybridizable discontinuous Galerkin (HDG) method for the dual-
porosity-Stokes problem. This coupled problem describes the interaction between free flow …

Mathematical and computational aspects of solving mixed-domain problems using the finite element method

J Dean - 2024 - repository.cam.ac.uk
This work focuses on mixed-domain problems, where fields defined over different domains
are governed by different partial differential equations and may be coupled. Multiphysics …