New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
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Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.
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Diffuse Domain Methods with Dirichlet Boundary Conditions
New coercive diffuse domain methods for Dirichlet conditions derived from mixed formulations and Nitsche's approach, with coercivity proofs and numerical tests showing improved accuracy on Navier-Stokes benchmarks.
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Small deformations of a near cylindrical tube for the Canham-Helfrich Energy with applications to biological membranes
Derives a quadratic approximation to the Canham-Helfrich energy for small graph deformations of tube-like surfaces, proves well-posedness of the Euler-Lagrange equations, and shows numerical examples.