202 citations · 289 across the 16 of their papers we have counts for
4 papers · 1 filter
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…
A Virtual Element Method for transversely isotropic elasticity
D. van Huyssteen, B. D. Reddy
This work studies the approximation of plane problems concerning transversely isotropic elasticity, using a low-order Virtual Element Method (VEM), with a focus on near-incompressi…
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…
An unconditionally stable algorithm for generalised thermoelasticity based on operator-splitting and time-discontinuous Galerkin finite element methods
Mebratu F. Wakeni, B. D. Reddy, A. T. McBride
An efficient time-stepping algorithm is proposed based on operator-splitting and the space-time discontinuous Galerkin finite element method for problems in the non-classical theor…