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math.NA2019★ 6 cited
A theoretical and experimental investigation of a family of immersed finite element methods
Yongxing Wang, Peter K. Jimack, Mark A. Walkley
In this article we consider the widely used immersed finite element method (IFEM), in both explicit and implicit form, and its relationship to our more recent one-field fictitious…
math.NA2017
A One-Field Energy-conserving Monolithic Fictitious Domain Method for Fluid-Structure Interactions
Yongxing Wang, Peter K. Jimack, Mark A. Walkley
In this article, we analyze and numerically assess a new fictitious domain method for fluid-structure interactions in two and three dimensions. The distinguishing feature of the pr…