We derive energy-norm a posteriori error bounds for an Euler timestepping method combined with various spatial discontinuous Galerkin schemes for linear parabolic problems. For acc...
Emmanuil H. Georgoulis, Omar Lakkis, Juha M. Virta...
We present a method to approximate (in any space dimension) diffusion equations with schemes having a specific structure; this structure ensures that the discrete local maximum a...
In this paper we prove the discrete compactness property for a wide class of p finite element approximations of non-elliptic variational eigenvalue problems in two and three spac...
Daniele Boffi, Martin Costabel, Monique Dauge, Les...
In the context of mesh adaptation, Riemannian metric spaces have been used to prescribe orientation, density and stretching of anisotropic meshes. But, such structures are only con...
This paper gives a numerical validation of the continuous mesh framework introduced in Part I [23]. We numerically show that the interpolation error can be evaluated analytically o...