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We present an isogeometric analysis technique that builds on manifold-based smooth basis functions for geometric modelling and analysis. Manifold-based surface construction techniques are well known in geometric modelling and...

Manifolds Isogeometric analysis Partition of unity method Finite elements Unstructured meshes Smooth basis functions

Shape optimisation Immersed finite elements Multiresolution surfaces Subdivision schemes Isogeometric analysis Catmull-Clark

electrochemical reaction phase-field modeling of fracture Cahn–Hilliard-type diffusion Isogeometric analysis lithium-ion battery electrode particles anisotropic diffusion