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math.NA2026
Geometry-Conforming Finite Element Methods for Interface Problems on Fitted and Unfitted Meshes
Yuanhui Lin, Tao Lin, Xu Zhang +1
We develop an arbitrary-degree geometry-conforming finite element (GC-FE) framework for two-dimensional elliptic boundary value and interface problems on curved domains. Using the…
math.NA2026
A time-decoupling scheme for mixed-dimensional poroelastic models with fractures
Dongchun Tang, Linshuang He, Shuyu Sun +1
We propose a locking-free decoupling method for a mixed-dimensional poroelasticity model with fractures. By introducing the total pressure, the fractured Biot system is reformulate…