Cache aware multigrid for variable coefficient elliptic problems on adaptive mesh refinement hierarchies

1 University of Kentucky, Department of Computer Science, 325 McVey Hall, Lexington, KY 40506-0045, USA; also, Yale University, Department of Computer Science, P.O. Box 208285, New Haven, CT 06520-8285, USA, [email protected]. 2 Sandia National Laboratory, Mail Stop 9217, Livermore, CA 94550, USA, [email protected]. 3 Sandia National Laboratory, Combustion Research Facility, Mail Stop 9056, P.O. Box 969, Livermore, CA 94550, USA, [email protected]. 4 University of Kentucky, Department of Computer Science, 325 McVey Hall, Lexington, KY 40506-0045, USA, [email protected]. 5 Sandia National Laboratory, Mail Stop 9217, Livermore, CA 94550, USA, [email protected].