NASA Logo

NTRS

NTRS - NASA Technical Reports Server

Back to Results
A Full Multi-Grid Method for the Solution of the Cell Vertex Finite Volume Cauchy-Riemann EquationsThe system of inhomogeneous Cauchy-Riemann equations defined on a square domain and subject to Dirichlet boundary conditions is considered. This problem is discretised by using the cell vertex finite volume method on quadrilateral meshes. The resulting algebraic problem is overdetermined and the solution is defined in a least squares sense. By this approach a consistent algebraic problem is obtained which differs from the original one by O(h(exp 2)) perturbations of the right-hand side. A suitable cell-based convergent smoothing iteration is presented which is naturally linked to the least squares formulation. Hence, a standard multi-grid algorithm is reported which combines the given smoother and cell-based transfer operators. Some remarkable reduction properties of these operators are shown. A full multi-grid method is discussed which solves the discrete problem to the level of truncation error by employing one multi-grid cycle at each current level of discretisation. Experiments and applications of the full multi-grid scheme are presented.
Document ID
19970006863
Acquisition Source
Langley Research Center
Document Type
Conference Paper
Authors
Borzi, A.
(Oxford Univ. Oxford, United Kingdom)
Morton, K. W.
(Oxford Univ. Oxford, United Kingdom)
Sueli, E.
(Oxford Univ. Oxford, United Kingdom)
Vanmaele, M.
(Oxford Univ. Oxford, United Kingdom)
Date Acquired
August 17, 2013
Publication Date
September 1, 1996
Publication Information
Publication: Seventh Copper Mountain Conference on Multigrid Methods
Issue: Part 1
Subject Category
Numerical Analysis
Accession Number
97N13756
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
Document Inquiry

Available Downloads

There are no available downloads for this record.
No Preview Available