3 papers
math.NA2019
Convergence in the incompressible limit of new discontinuous Galerkin methods with general quadrilateral and hexahedral elements
Beverley J. Grieshaber, Andrew T. McBride, B. Daya Reddy
Standard low-order finite elements, which perform well for problems involving compressible elastic materials, are known to under-perform when nearly incompressible materials are in…
math.AP2018
Discontinuous Galerkin approximations for near-incompressible and near-inextensible transversely isotropic bodies
B. J. Grieshaber, F. Rasolofoson, B. D. Reddy
This work studies discontinuous Galerkin (DG) approximations of the boundary value problem for homogeneous transversely isotropic linear elastic bodies. Low-order approximations on…
math.NA2018
Finite element approximations for near-incompressible and near-inextensible transversely isotropic bodies
Faraniaina Rasolofoson, Beverley Grieshaber, B. Daya Reddy
This work comprises a detailed theoretical and computational study of the boundary value problem for transversely isotropic linear elastic bodies. General conditions for well-posed…