## Charlie Elliott: Publications: Unfitted finite element methods

An h narrow band finite element
method for elliptic equations on
implicit surfaces

(Klaus Deckelnick, Gerhard Dziuk, Charles M. Elliott and Claus-Justus Heine)

IMA
Journal Numerical Analysis 30(2010) 351-376

Finite element approximation of
elliptic equations with a Neumann or
Robin condition on a curved boundary

(J.W. Barrett and C. M. Elliott) IMA Journal Numerical Analysis 8 (1988) 321-342

A practical finite element approximation of a
semi-definite Neumann problem on a curved domain

(J.W. Barrett and C. M. Elliott) Numerische Mathematik 51 (1987) 23-36

Fitted and unfitted finite-element
methods for elliptic equations with
smooth interfaces

(J.W. Barrett and C. M. Elliott) IMA Journal Numerical Analysis 7 (1987) 283-300

Finite element approximation of the
Dirichlet problem using the boundary penalty method

(J.W. Barrett and C. M. Elliott) Numerische Mathematik 49 (1986) 343-366

Fixed mesh
finite element approximations to a free boundary problem for an
elliptic equation with an oblique derivative boundary condition

(J.W. Barrett and C. M. Elliott) Computers and
Mathematics with Applications 11 (1985) 335--345

A finite element method for solving elliptic equations with
Neumann data on a curved boundary using unfitted meshes

(J.W. Barrett and C. M. Elliott) IMA Journal Numerical Analysis 4 (1984) 309-325

A finite element method on a fixed mesh for the Stefan problem
for solving elliptic equations with convection in a saturated porous medium.

(J.W. Barrett and C. M. Elliott) Numerical methods for fluid dynamics (eds. K.W.Morton and M.J. Baimnes)
Academic Press .London (1982) 389--409

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