This article is cited in 3 papers

Grid-projection schemes for approximation of the second order partial differential equations on irregular computational meshes

O. G. Olkhovskaya


Abstract: A family of grid-projection schemes was constructed for approximation of the second order partial differential equations with a variable coefficient in tensor form. The developed schemes have the property of conservatism and retain the property of self-adjointness inherent to the original differential operator. The proposed schemes are designed to perform calculations on three-dimensional irregular computational meshes, including tetrahedral meshes, mixed meshes (meshes of arbitrary polyhedra) and AMR (oc-tree type).

Keywords: grid-projection scheme, irregular computational mesh, AMR, conservatism, self-adjointness.

DOI: 10.20948/prepr-2018-226

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