Summary
In the simulation of 3-dimensional groundwater flow problems often meshes are generated for which the horizontal mesh size is much larger than the distances in the vertical direction. The matrices which arise from the discretization of differential equations are known to have large condition numbers. Here, the geometry leads to an additional increase of the condition number. While standard preconditioners as SSOR and ICC can cope with the differential operators, they are less suited for the geometrical difficulties. We show that here block-SSOR preconditioners are an appropriate tool.
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© 1997 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig/Wiesbaden
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Braess, D., König, C. (1997). Block SSOR Preconditioners for 3-D Groundwater Flow Problems. In: Helmig, R., Jäger, W., Kinzelbach, W., Knabner, P., Wittum, G. (eds) Modeling and Computation in Environmental Sciences. Notes on Numerical Fluid Mechanics (NNFM), vol 59. Vieweg+Teubner Verlag. https://doi.org/10.1007/978-3-322-89565-3_8
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DOI: https://doi.org/10.1007/978-3-322-89565-3_8
Publisher Name: Vieweg+Teubner Verlag
Print ISBN: 978-3-322-89567-7
Online ISBN: 978-3-322-89565-3
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