A new sparse-matrix storage method for adaptively solving large systems of reaction-diffusion-transport equations

  • Authors:
  • Nicolas Neuß

  • Affiliations:
  • Interdisziplinüres Zentrum für Wissenschaftliches Rechnen, Heidelberg, Germany

  • Venue:
  • Computing
  • Year:
  • 2002

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Abstract

We present a new method for storing sparse matrices as a block-matrix graph where the block are stored as local valuue arrays which are indexed via a set of a compact row-ordered schemes. This combines the flexibility of the graph structure with higher efficiency due to higher data locality. The inner compact pattern also allows identification of entries, which can lead to further advantages with respect to memory and computing time. To examine the efficiency of this new method, we study of a model case the performance of a matrix-vector multiplication which is the basic building block for most iterative methods. It turns out that our technique is competitive except for very small inner blocks. We also present two more realistic reactive flow applications to which this technique was applied.