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Showing 1 to 3 of 3 for “"embedded interface"”.
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An efficient finite element method for embedded interface problems
… efficient finite element method for interface problems. Finite element methods are severely constrained in their ability to resolve interfaces. Many of these limitations stem from their inability in independently representing interface geometry from the underlying discretization. We …
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Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes
<p>Interfaces play a dominant role in governing the response of many biological systems and they pose many challenges to traditional finite element. For sharp-interface model, traditional finite element methods necessitate the finite element mesh to align with surfaces of discontinuities. …
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High-order hybrid methods using Green's functions and finite elements
… and a new high-order method for elliptic interface problems on non-conforming volume meshes. First, the FE-based particle-particle--particle-mesh (FE-P3M) method for N-body problems is introduced. P3M methods are designed to compute quantities (e.g. potentials or forces) that are sums of …