 Mesh coarsening and refinement treated by local problems on a common submesh |
Main results (heat equation):
- inf-sup equality with constant 1;
- any order conforming continuous Galerkin discretization in space;
- any order discontinuous Galerkin discretization in time;
- guranteed reliability (upper bound);
- efficiency local with respect to both space and time;
- robustness with respect to polynomial degrees both in space and time;
- arbitrary space mesh refinement and coarsening between time steps (no transition condition);
- equivalence between global and local norms.
Details: paper with Alexandre Ern and Iain Smears and presentation; see also paper (preprint) in the energy norm setting.
