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math.NA2025
Divergence-free decoupled finite element methods for incompressible flow problems
Volker John, Xu Li, Christian Merdon
Incompressible flows are modeled by a coupled system of partial differential equations for velocity and pressure, Starting from a divergence-free mixed method proposed in [John, Li…
math.NA2025
Reduced Basis Approach for Convection-Diffusion Equations with Non-Linear Boundary Reaction Conditions
Sebastian Matera, Christian Merdon, Daniel Runge
This paper aims at an efficient strategy to solve drift-diffusion problems with non-linear boundary conditions as they appear, e.g., in heterogeneous catalysis. Since the non-linea…