Immersed boundary-conformal isogeometric method for linear elliptic problems.

We present a novel isogeometric method, namely the (IBCM), that features a layer of discretization conformal to the boundary while employing a simple background mesh for the remaining domain. In this manner, we leverage the geometric flexibility of the immersed boundary method with the advantages of a conformal discretization, such as intuitive control of mesh resolution around the boundary, higher accuracy per degree of freedom, automatic satisfaction of interface kinematic conditions, and the ability to strongly impose Dirichlet boundary conditions. In the proposed method, starting with a boundary representation of a geometric model, we extrude it to obtain a corresponding conformal layer.

A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects.

We review the treatment of trimmed geometries in the context of design, data exchange, and computational simulation. Such models are omnipresent in current engineering modeling and play a key role for the integration of design and analysis. The problems induced by trimming are often underestimated due to the conceptional simplicity of the procedure.

Erratum to: A Review of Trimming in Isogeometric Analysis: Challenges, Data Exchange and Simulation Aspects.

[This corrects the article DOI: 10.1007/s11831-017-9220-9.].