By recasting continuous-forcing immersed boundary problems as composite interior-exterior fields with a smoothed indicator function, the method incorporates neglected terms to achieve second-order convergence in Poisson problems and near-second-order in incompressible Navier-Stokes flows, while also
Flow patterns around heart valves: A numerical method.Journal of Computational Physics, 10(2):252–271, October 1972
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Non-conformal immersed and union-based isogeometric methods with boundary-conformal quadrature reduce patch count and preprocessing for magnetostatics while union variants maintain accuracy on benchmarks.
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Beyond first-order accuracy in continuous-forcing immersed boundary methods, and their well-conditioned projection-based solution
By recasting continuous-forcing immersed boundary problems as composite interior-exterior fields with a smoothed indicator function, the method incorporates neglected terms to achieve second-order convergence in Poisson problems and near-second-order in incompressible Navier-Stokes flows, while also
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Immersed boundary-conformal isogeometric methods for magnetostatics
Non-conformal immersed and union-based isogeometric methods with boundary-conformal quadrature reduce patch count and preprocessing for magnetostatics while union variants maintain accuracy on benchmarks.