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KIAM Preprint № 226, Moscow, 2018
Authors: Olkhovskaya O.G.
Grid-projection schemes for approximation of the second order partial differential equations on irregular computational meshes
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
Publication language: russian, pages: 24
Research direction:
Mathematical problems and theory of numerical methods
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