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Showing 1 to 3 of 3 for “"Nitsche's method"”.

  1. Stable Embedded Grid Techniques in Computational Mechanics

    … whether physical or introduced by numerical methodologies, are commonplace. Just a few examples include fracture and fault mechanics, classical contact-impact, phase boundary propagation, and fluid-structure interaction. This dissertation focuses on issues of numerical stability and accuracy …

    duke Repository record for Stable Embedded Grid Techniques in Computational Mechanics (opens in a new tab)

  2. Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes

    … model, traditional finite element methods necessitate the finite element mesh to align with surfaces of discontinuities. Diffuse-interface model replaces the sharp interface with continuous variations of an order parameter resulting in significant computational effort. To overcome …

    duke Repository record for Adaptive Spline-based Finite Element Method with Application to Phase-field Models of Biomembranes (opens in a new tab)

  3. Numerical methods for mass transport equations in two-phase incompressible flows

    In this thesis, we presented numerical methods for discretizing and solving the mass transport problem in two-phase flows. The level set method is used for capturing the time-dependent interface. The motion of the fluid is described by the two-phase Navier-Stokes equations. For the spatial …

    aachen Repository record for Numerical methods for mass transport equations in two-phase incompressible flows (opens in a new tab)