Sur une famille biparamétrique de schémas des différences finies pour un système d'équations paraboliques aux dérivées mixtes et avec des conditions aux limites du type de Neumann
Sur une famille bi-parométriques de schémas des différences finies pour l'équation parabolique sans dérivées mixtes
Sur une méthode des différences finies pour une équation non linéaire différentielle fonctionnelle aux dérivées mixtes
Symmetric interior penalty discontinuous Galerkin method for nonlinear fully coupled quasi-static thermo-poroelasticity problems
We propose a symmetric interior penalty discontinuous Galerkin (DG) method for nonlinear fully coupled quasi-static thermo-poroelasticity problems. Firstly, a fully implicit nonlinear discrete scheme is constructed by adopting the DG method for the spatial approximation and the backward Euler method for the temporal discretization. Subsequently, the existence and uniqueness of the solution of the numerical scheme is proved, and then we derive the a priori error estimate for the three variables,...
Symplectic integration of Hamiltonian wave equations.
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...
Symplectic local time-stepping in non-dissipative DGTD methods applied to wave propagation problems
The Discontinuous Galerkin Time Domain (DGTD) methods are now popular for the solution of wave propagation problems. Able to deal with unstructured, possibly locally-refined meshes, they handle easily complex geometries and remain fully explicit with easy parallelization and extension to high orders of accuracy. Non-dissipative versions exist, where some discrete electromagnetic energy is exactly conserved. However, the stability limit of the methods, related to the smallest elements in the mesh,...