Fully discrete DPG methods for the Kirchhoff–Love plate bending model
We extend the analysis and discretization of the Kirchhoff–Love plate bending problem from Führer et al. (in press) in two aspects. First, we present a well-posed formulation and quasi-optimal DPG discretization that include the gradient of the deflection. Second, we construct Fortin operators that...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2019-01, Vol.343, p.550-571 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Führer, Thomas Heuer, Norbert |
| description | We extend the analysis and discretization of the Kirchhoff–Love plate bending problem from Führer et al. (in press) in two aspects. First, we present a well-posed formulation and quasi-optimal DPG discretization that include the gradient of the deflection. Second, we construct Fortin operators that prove the well-posedness and quasi-optimal convergence of lowest-order discrete schemes with approximated test functions for both formulations. Our results apply to the case of non-convex polygonal plates where shear forces can be less than L2-regular. Numerical results illustrate expected convergence orders. |
| doi_str_mv | 10.1016/j.cma.2018.08.041 |
| format | Article |
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| language | eng |
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| subjects | Bending Biharmonic problem Convergence Discontinuous Petrov–Galerkin method Discretization Formulations Fortin operator Fourth-order elliptic PDE Kirchhoff–Love model Mathematical analysis Mathematical models Plate bending Polygons Symmetry Well posed problems |
| title | Fully discrete DPG methods for the Kirchhoff–Love plate bending model |
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