ERROR ANALYSIS FOR A MIMETIC DISCRETIZATION OF THE STEADY STOKES PROBLEM ON POLYHEDRAL MESHES
We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes.
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| Veröffentlicht in: | SIAM journal on numerical analysis 2010-01, Vol.48 (4), p.1419-1443 |
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| container_title | SIAM journal on numerical analysis |
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| creator | DA VEIGA, L. BEIRÃO LIPNIKOV, K. MANZINI, G. |
| description | We present the development, convergence analysis, and numerical tests of the mimetic finite difference method for the Stokes problem on two-dimensional polygonal and three-dimensional polyhedral meshes. |
| doi_str_mv | 10.1137/090757411 |
| format | Article |
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| issn | 0036-1429 1095-7170 |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | Applied mathematics Approximation Cauchy Schwarz inequality Convergence Degrees of freedom Discretization Error analysis Finite difference method Finite difference methods Fluid flow Geometric shapes Interpolation Mathematical analysis Mathematical vectors Numerical analysis Polyhedrons Studies Two dimensional Vertices |
| title | ERROR ANALYSIS FOR A MIMETIC DISCRETIZATION OF THE STEADY STOKES PROBLEM ON POLYHEDRAL MESHES |
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