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Adaptive Linearly Implicit Methods for Linear Poroelastic Equations (2006)

Erdmann, Bodo ; Lang, Jens ; Matera, Sebastian ; [weitere]

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Publikationsdatum: 2019-05-10

Beschreibung: Adaptive numerical methods in time and space are introduced and studied for linear poroelastic models in two and three space dimensions. We present equivalent models for linear poroelasticity and choose both the {\em displacement--pressure} and the {\em stress--pressure} formulation for our computations. Their discretizations are provided by means of linearly implicit schemes in time and linear finite elements in space. Our concept of adaptivity opens a way to a fast and reliable simulation of different loading cases defined by corresponding boundary conditions. We present some examples using our code {\sf Kardos} and show that the method works efficiently. In particular, it could be used in the simulation of some bone healing models.

Schlagwort(e): ddc:000

Sprache: Englisch

Materialart: reportzib , doc-type:preprint

Format: application/pdf

Format: application/postscript

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