LeafNet algorithm reformulates hyperbolic conservation laws as a coupled system with smooth solutions and approximates smooth functions via physics-informed neural networks, enabling accurate computation of multidimensional hyperbolic PDEs without diffusion.
This paper presents an unconditionally stable second-order numerical method for fluid-poroelastic structure interaction, where free fluid governed by incompressible Stokes equations couples with poroelastic medium via the Biot system, reformulated using Robin-type interface conditions.
See LICENSE filefluid-structure interactionporoelasticityRobin boundary conditions
Proposes a subcell-refined entropy-residual-driven limiter for high-order DG methods on Legendre-Gauss-Lobatto nodes, enabling robust simulation of under-resolved nonlinear hyperbolic systems while preserving accuracy via nearest-neighbor pairwise dissipation.
See LICENSE fileDiscontinuous Galerkinentropy residualhigh-order methods
