2 papers
math.NA2024
Error Estimates for First- and Second-Order Lagrange-Galerkin Moving Mesh Schemes for the One-Dimensional Convection-Diffusion Equation
Kharisma Surya Putri, Tatsuki Mizuochi, Niklas Kolbe +1
A new moving mesh scheme based on the Lagrange-Galerkin method for the approximation of the one-dimensional convection-diffusion equation is studied. The mesh movement, which is pr…
math.AP2024
Well-posedness results for general reaction-diffusion transport of oxygen in encapsulated cells
Yuma Nakamura, Kharisma Surya Putri, Alef Sterk +1
In this paper, we provide well-posedness results for nonlinear parabolic PDEs given by reaction-diffusion equations describing the concentration of oxygen in encapsulated cells. Th…