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The Landau collision integral is an accurate model for the small-angle dominated Coulomb collisions in fusion plasmas. We investigate a high order accurate, fully conservative, finite element discretization of the nonlinear multi-species Landau integral with adaptive mesh refinement using the PETSc library (www.mcs.anl.gov/petsc). We present algorithms and techniques that efficiently utilize emerging architectures by minimizing memory movement and being amenable to vector processing. We present performance results on the second generation Intel Xeon Phi, Knights Landing, processor.