IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Finite volume methods on general surfaces

A 2005 Preprint by Q. Du and L. Ju

  • 2005:06
  • In this paper, we study the finite volume method for numerical solution of a set of model partial differential equations defined on a smooth surface. The discretization is defined via a surface mesh consisting of piecewise planar triangles and piecewise polygons. We prove the optimal error estimates of the approximate solution in both H1 norm and L2 norm that are of first order and second order respectively under mesh regularity assumptions.

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