Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements
The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used for the displacement and pore pressure variable....
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| creator | Bause, Markus Anselmann, Mathias |
| description | The numerical approximation of dynamic poroelasticity, modeling flow in deformable porous media, by a family of continuous space-time finite element methods is investigated. Equal order approximation in space without any further stabilization is used for the displacement and pore pressure variable. Optimal order \(L^\infty(L^2)\) error estimates are proved and numerically confirmed. |
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| subjects | Approximation Error analysis Finite element method Formability Mathematical analysis Poroelasticity Porous media |
| title | Optimal order FEM for dynamic poroelasticity: Error analysis for equal order elements |
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