C. Parker and E. Süli, Stable lifting of polynomial traces on tetrahedra, Found. Comput. Math., (2024), doi:10.1007/s10208-024-09670-x.
C. Parker and E. Süli, Stable lifting of polynomial traces on triangles, SIAM J. Numer. Anal. 62 (2024), doi: 10.1137/23M15649.
M. Ainsworth and C. Parker, H2-stable polynomial liftings on triangles, SIAM J. Numer. Anal., 58 (2020), doi:10.1137/19M128171X.
M. Ainsworth and C. Parker, Two and three dimensional H2-conforming finite element approximations without C1-elements, Comput. Methods Appl. Mech. Engrg., 431 (2024), doi:10.1016/j.cma.2024.117267.
M. Ainsworth and C. Parker, Computing H2-conforming finite element approximations without having to implement C1-elements, SIAM J. Sci. Comput., 46 (2024), doi:10.1137/23M1615486.
M. Ainsworth and C. Parker, Preconditioning high order H2 conforming finite elements on triangles, Numer. Math., 148 (2021), doi:10.1007/s0021-021-01206-7.
F. Aznaran, K. Hu, and C. Parker, Uniformly hp-stable elements for the 2D elasticity complex, preprint, arXiv:2409.17414.
M. Ainsworth and C. Parker, Uniform preconditioners for high order finite element approximations of planar linear elasticity, Math. Comp. 93 (2024), doi:10.1090/mcom/3926.
M. Ainsworth and C. Parker, Unlocking the secrets of locking: Finite element analysis in planar linear elasticity, Comput. Methods Appl. Mech. Engrg., 395 (2022), doi:10.1016/j.cma.2022.115034.
M. Ainsworth and C. Parker, Statically condensed iterated penalty method for high order finite element discretizations of incompressible flow, SIAM J. Sci. Comput., to appear, https://arxiv.org/abs/2301.01818.
M. Ainsworth and C. Parker, A mass conserving mixed hp-FEM scheme for Stokes flow. Part III: Implementation and preconditioning, SIAM J. Numer. Anal., 60 (2022), doi:10.1137/21M1433927.
M. Ainsworth and C. Parker, Mass conserving mixed hp-FEM approximations to Stokes flow. Part II: Optimal convergence, SIAM J. Numer. Anal., 59 (2021), doi:10.1137/20M1359110.
M. Ainsworth and C. Parker, Mass conserving mixed hp-FEM approximations to Stokes flow. Part I: Uniform stability, SIAM J. Numer. Anal., 59 (2021), doi:10.1137/20M1359109.