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math.NA2026
Quadrilateral and Hexahedral Immersed Finite Element Methods for Elliptic Interface Problems
Fangfang Qin, Haifeng Ji
Immersed finite element (IFE) methods provide an effective framework for solving interface problems on unfitted meshes. The basic idea underlying IFE methods is to modify standard…
math.NA2026
A Pressure-Robust Nonconforming Immersed Finite Element Method for Stokes Interface Problems
Haifeng Ji, Feng Wang
It is well established that an appropriate modification of test functions may lead to pressure-robust mixed methods for Stokes problems. However, for immersed finite element approx…