Cut finite element methods for coupled bulk–surface problems

A stabilized cut finite element method for partial differential equations on surfaces: The Laplace–Beltrami operator

(2015) Erik Burman et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A cut finite element method for a Stokes interface problem

(2014) Peter Hansbo et al.   APPLIED NUMERICAL MATHEMATICS

CutFEM: Discretizing geometry and partial differential equations

(2014) Erik Burman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A Stabilized Nitsche Fictitious Domain Method for the Stokes Problem

(2014) André Massing et al.   JOURNAL OF SCIENTIFIC COMPUTING

A stabilized finite element method for advection-diffusion equations on surfaces

(2013) M. A. Olshanskii et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

Finite element methods for surface PDEs

(2013) Gerhard Dziuk et al.   ACTA NUMERICA

Finite element analysis for a coupled bulk-surface partial differential equation

(2012) C. M. Elliott et al.   IMA JOURNAL OF NUMERICAL ANALYSIS

A high order discontinuous Galerkin Nitsche method for elliptic problems with fictitious boundary

(2012) August Johansson et al.   NUMERISCHE MATHEMATIK

Fictitious domain finite element methods using cut elements: II. A stabilized Nitsche method

(2011) Erik Burman et al.   APPLIED NUMERICAL MATHEMATICS

A hybrid numerical method for interfacial fluid flow with soluble surfactant

(2010) M.R. Booty et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A finite element method for surface PDEs: matrix properties

(2009) Maxim A. Olshanskii et al.   NUMERISCHE MATHEMATIK

A Finite Element Method for Elliptic Equations on Surfaces

(2009) Maxim A. Olshanskii et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS