The aim of this study was to assess the efficiency of the local defect correction multi-grid
method (Hackbusch, 1984 [31]) on solid mechanics test cases showing local singularities …

A high-order projection scheme was developed for the study of chemically reacting flows in
the low-Mach number limit. The numerical approach for the momentum transport uses a …

This paper addresses an efficient and robust automatic adaptive local multilevel mesh
refinement strategy for unilateral frictional contact problems in elastostatics. The proposed …

Dans un contexte industriel, l'utilisation de modèles diphasiques d'ordre réduit est
nécessaire pour pouvoir effectuer des simulations numériques prédictives d'injection de …

Sometimes boundary value problems have isolated regions where the solution changes
rapidly. Therefore, when solving numerically, one needs a fine grid to capture the high …

Le but de cette étude est d'améliorer les performances, en termes d'espace mémoire et de
temps de calcul, des simulations actuelles de l'Interaction mécanique Pastille-Gaine (IPG) …

The standard local defect correction (LDC) method has been extended to include multilevel
adaptive gridding, domain decomposition, and regridding. The domain decomposition …

The local rectangular refinement (LRR) solution-adaptive gridding method, developed a
decade ago to solve coupled nonlinear elliptic partial differential equations in two …

Computational frameworks can significantly assist in the construction, extension and
maintenance of simulation codes. As the nature of problems addressed by computational …

In this paper, we study the multiscale finite element discretizations about the biharmonic
eigenvalue problem of plate buckling. On the basis of the work of Dai and Zhou (SIAM J …