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math.NA2024
An Interior Penalty Discontinuous Galerkin Method for an Interface Model of Flow in Fractured Porous Media
Yong Liu, Ziyao Xu
Discrete fracture models with reduced-dimensional treatment of conductive and blocking fractures are widely used to simulate fluid flow in fractured porous media. Among these, nume…
math.NA2024
An arbitrarily high order unfitted finite element method for elliptic interface problems with automatic mesh generation, Part II. Piecewise-smooth interfaces
Zhiming Chen, Yong Liu
We consider the reliable implementation of an adaptive high-order unfitted finite element method on Cartesian meshes for solving elliptic interface problems with geometrically curv…