Gilles Vilmart

This person is no longer with EPFL

About
Privacy
Disclaimer

Graph Chatbot

Related publications (12)

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Assyr Abdulle, Gilles Vilmart

A finite element method with numerical quadrature is considered for the solution of a class of second-order quasilinear elliptic problems of nonmonotone type. Optimal a priori error estimates for the H-1 and the L-2 norms are derived. The uniqueness of the ...

Elsevier2011

Algebraic Structures of B-series

Gilles Vilmart

B-series are a fundamental tool in practical and theoretical aspects of numerical integrators for ordinary differential equations. A composition law for B-series permits an elegant derivation of order conditions, and a substitution law gives much insight i ...

Springer-Verlag2010

Page 2 of 2

Algebraic Structures of B-series

Gilles Vilmart

Springer-Verlag2010

The effect of numerical integration in the finite element method for nonmonotone nonlinear elliptic problems with application to numerical homogenization methods

Assyr Abdulle, Gilles Vilmart

Elsevier2011