CutFEM: Discretizing geometry and partial differential equations

• Published in: International journal for numerical methods in engineering Vol. 104; no. 7; pp. 472 - 501
• Main Authors: Burman, Erik, Claus, Susanne, Hansbo, Peter, Larson, Mats G., Massing, André
• Format: Journal Article
• Language: English
• Published: Bognor Regis Blackwell Publishing Ltd 16.11.2015; Wiley Subscription Services, Inc
• Subjects: Boundaries; Computer aided design; Discretization; extended finite element method; Finite element method; finite element methods; Galerkin; lerkin; level sets; Mathematical analysis; Mathematical models; meshfree methods; Numerical analysis; Partial differential equations; stability; unfitted methods

Summary We discuss recent advances on robust unfitted finite element methods on cut meshes. These methods are designed to facilitate computations on complex geometries obtained, for example, from computer‐aided design or image data from applied sciences. Both the treatment of boundaries and interfac...