Difference Schemes on Uniform Grids Performed by General Discrete Operators

  title={Difference Schemes on Uniform Grids Performed by General Discrete Operators},
  author={Enrique Bendito and {\'A}ngeles Carmona and Andr{\'e}s M. Encinas},
Our aim is to set the foundations of a discrete vectorial calculus on uniform n-dimensional grids, that can be easily re-formulated on general irregular grids. As the key tool we first introduce the notion of tangent space to any grid node. Then we define the concepts of vector field, field of matrices and inner products on the space of grid functions and on the space of vector fields, mimicking the continuous setting. This allows us to obtain the discrete analogous of the basic first order… CONTINUE READING

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