28 research outputs found
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
A comparison of living conditions for intellectually disabled people in Norway and Sweden: Present situation and changes following the national reforms in the 1990's
Multiscale mass conservative domain decomposition preconditioners for elliptic problems on irregular grids
Multiscale methods can in many cases be viewed as special types of domain decomposition preconditioners. The localisation approximations introduced within the multiscale framework are dependent upon both the heterogeneity of the reservoir and the structure of the computational grid. While previous works on multiscale control volume methods have focused on heterogeneous elliptic problems on regular Cartesian grids, we have tested the multiscale control volume formulations on two-dimensional elliptic problems involving heterogeneous media and irregular grid structures. Our study shows that the tangential flow approximation commonly used within multiscale methods is not suited for problems involving rough grids. We present a more robust mass conservative domain decomposition preconditioner for simulating flow in heterogeneous porous media on general grids