Charles M. Elliott

Thomas Sales

CoRR, 2024

SFEM for the Lagrangian formulation of the surface Stokes problem.

[BibT_eX]

[DOI]

Achilleas Mavrakis

CoRR, 2024

A fully discrete evolving surface finite element method for the Cahn-Hilliard equation with a regular potential.

[BibT_eX]

[DOI]

Thomas Sales

CoRR, 2024

2023

Regularization and Separation for Evolving Surface Cahn-Hilliard Equations.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., December, 2023

2022

Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces.

[BibT_eX]

[DOI]

Harald Garcke

Balázs Kovács

Numerische Mathematik, 2022

Evolving finite elements for advection diffusion with an evolving interface.

[BibT_eX]

[DOI]

P. Stepanov

CoRR, 2022

Models for information propagation on graphs.

[BibT_eX]

[DOI]

Oliver R. A. Dunbar

Lisa Maria Kreusser

CoRR, 2022

2020

Reconciling Bayesian and Perimeter Regularization for Binary Inversion.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

A domain mapping approach for elliptic equations posed on random bulk and surface domains.

[BibT_eX]

[DOI]

Lewis Church

Ana Djurdjevac

Numerische Mathematik, 2020

Second order splitting of a class of fourth order PDEs with point constraints.

[BibT_eX]

[DOI]

Philip J. Herbert

Math. Comput., 2020

2019

Second order splitting for a class of fourth order equations.

[BibT_eX]

[DOI]

Hans Fritz

Graham Hobbs

Math. Comput., 2019

Hamilton-Jacobi equations on an evolving surface.

[BibT_eX]

[DOI]

Math. Comput., 2019

2018

A Coupled Ligand-Receptor Bulk-Surface System on a Moving Domain: Well Posedness, Regularity, and Convergence to Equilibrium.

[BibT_eX]

[DOI]

Amal Alphonse

Joana Terra

SIAM J. Math. Anal., 2018

Evolving Surface Finite Element Methods for Random Advection-Diffusion Equations.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2018

2017

Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand Dynamics.

[BibT_eX]

[DOI]

Chandrasekhar Venkataraman

SIAM J. Math. Anal., 2017

2015

Time-Periodic Solutions of Advection-Diffusion Equations on Moving Hypersurfaces.

[BibT_eX]

[DOI]

Hans Fritz

SIAM J. Math. Anal., 2015

Evolving surface finite element method for the Cahn-Hilliard equation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2015

A Multiscale Analysis of Diffusions on Rapidly Varying Surfaces.

[BibT_eX]

[DOI]

Andrew B. Duncan

Grigorios A. Pavliotis

Andrew M. Stuart

J. Nonlinear Sci., 2015

2014

Unfitted Finite Element Methods Using Bulk Meshes for Surface Partial Differential Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

2013

L<sup>2</sup>-estimates for the evolving surface finite element method.

[BibT_eX]

[DOI]

Math. Comput., 2013

Finite element methods for surface PDEs.

[BibT_eX]

[DOI]

Acta Numer., 2013

2012

A Fully Discrete Evolving Surface Finite Element Method.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2012

2011

Numerical analysis of an inverse problem for the eikonal equation.

[BibT_eX]

[DOI]

Vanessa Styles

Numerische Mathematik, 2011

2010

A Surface Phase Field Model for Two-Phase Biological Membranes.

[BibT_eX]

[DOI]

Björn Stinner

SIAM J. Appl. Math., 2010

Modeling and computation of two phase geometric biomembranes using surface finite elements.

[BibT_eX]

[DOI]

Björn Stinner

J. Comput. Phys., 2010

An Eulerian approach to transport and diffusion on evolving implicit surfaces.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2010

2009

Optimal Control of the Propagation of a Graph in Inhomogeneous Media.

[BibT_eX]

[DOI]

Vanessa Styles

SIAM J. Control. Optim., 2009

2008

Numerical simulation of dealloying by surface dissolution via the evolving surface finite element method.

[BibT_eX]

[DOI]

Carsten Eilks

J. Comput. Phys., 2008

2005

Fully Discrete Finite Element Approximation for Anisotropic Surface Diffusion of Graphs.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

2004

A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity.

[BibT_eX]

[DOI]

David Kay

Vanessa Styles

SIAM J. Numer. Anal., 2004

2003

Error Analysis of a Semidiscrete Numerical Scheme for Diffusion in Axially Symmetric Surfaces.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2003

Dynamic Boundary Conditions for Hamilton-Jacobi Equations.

[BibT_eX]

[DOI]