This paper presents an adaptive multigrid approach, combining adaptive local grid refinement and multigrid methods, in conjunction with the Lagrangian–Eulerian finite element method to simulate contaminant transport in the 3D subsurface. Adaptive local grid refinement can improve solution accuracy without sacrificing computational efficiency because computer efforts are focused on the rough reg...

A solution adaptive scheme with directional multigrid for viscous computations on hybrid grids is presented. The ow domain is discretized with prismatic and tetrahedral elements. The use of hybrid grid enables the solver to compute accurate solutions with relatively less memory requirement than a fully unstructured grid. Further, employing prisms to discretize the full Navier-Stokes equations a...

Analysis of phenomena that simultaneously occur on quite different spatial and temporal scales require adaptive, hierarchical schemes to reduce computational and storage demands. For data represented as grid functions, the key are adaptive, hierarchical, time-dependent grids that resolve spatio-temporal details without too much redundancy. Here, so-called AMR grids gain increasing popularity. F...