Edward Hall

Contact

• workRoom C45a The Mathematical Sciences Building
  University Park
  Nottingham
  NG7 2RD
  UK
• work0115 8486064
• fax0115 9513837
• Edward.Hall@nottingham.ac.uk

Selected Publications

• K.A. CLIFFE, A.G.SALINGER., E.J.C. HALL, P. HOUSTON, E.T. PHIPPS and A.G. SALINGER, 2010. Adaptivity and A Posteriori Error Control for Bifurcation Problems I: The Bratu Problem Communications in Computational Physics. 8(4), 845-865
• CLIFFE, K.E., HALL, E. and HOUSTON, P., 2010. Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows SIAM Journal on Scientific Computing. 31(6), 4607-4632
• GEORGOULIS, E.H., HALL, E. and MELENK, J.M., 2010. On the suboptimality of the p-version interior penalty discontinuous Galerkin method Journal of Scientific Computing. 42(1), 54-67
• GEORGOULIS, E.H., HALL, E. and HOUSTON, P., 2009. Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity Applied Numerical Mathematics. 59(9), 2179-2194

• View all publications

• GEORGOULIS, EMMANUIL H, HALL, EDWARD and MAKRIDAKIS, CHARALAMBOS, 2017. An a posteriori error bound for discontinuous Galerkin approximations of convection–diffusion problems IMA Journal of Numerical Analysis. 39(1), 34-60
• A. RONA, I. SPISSO, E. HALL, M. BERNARDINI and S. PIROZZOLI, 2017. Optimised prefactored compact schemes for linear wave propagation phenomena Journal of Computational Physics. 328, 66 - 85
• HALL, E., HOUSTON, P. and MURPHY, S., 2017. $hp$-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems SIAM Journal on Scientific Computing. 39(5), B916-B942
• K.A. CLIFFE, E.J.C. HALL and P. HOUSTON, 2014. hp-adaptive discontinuous Galerkin methods for bifurcation phenomena in open flows Computers & Mathematics with Applications. 67(4), 796 - 806
• GIANI, STEFANO AND HALL, EDWARD, 2013. An a-posteriori error estimate for $$hp$$-adaptive DG methods for elliptic eigenvalue problems on anisotropically refined meshes Computing. 95(1), 319-341
• CLIFFE, K.A., HALL, E.J.C., HOUSTON, P., PHIPPS, E.T. and SALINGER, A.G., 2012. Adaptivity and a posteriori error control for bifurcation problems III: incompressible fluid flow in open systems with O(2) symmetry Journal of Scientific Computing. 52(1), 153-179
• GIANI, S. and HALL E.J.C., 2012. An a posteriori error estimator for hp-adaptive discontinuous galerkin methods for elliptic eigenvalue problems Mathematical Models and Methods in Applied Sciences. Vol. 22(No. 10), 55674
• CLIFFE, K.A., HALL, E.J.C. and HOUSTON, P., 2012. Application of hp–Adaptive Discontinuous Galerkin Methods to Bifurcation Phenomena in Pipe Flows In: ENUMATH 2011. (In Press.)
• HALL, E.J.C. and GIANI, S., 2012. Discontinuous Galerkin Methods for Eigenvalue Problems on Anisotropic Meshes In: ENUMATH 2011. (In Press.)
• CLIFFE, K.A., HALL, E.J.C., HOUSTON, P., PHIPPS, E.T. and SALINGER, A.G., 2011. Adaptivity and a posteriori error control for bifurcation problems II: incompressible fluid flow in open systems with Z₂ symmetry Journal of Scientific Computing. 47(3), 389-418
• K.A. CLIFFE, A.G.SALINGER., E.J.C. HALL, P. HOUSTON, E.T. PHIPPS and A.G. SALINGER, 2010. Adaptivity and A Posteriori Error Control for Bifurcation Problems I: The Bratu Problem Communications in Computational Physics. 8(4), 845-865
• CLIFFE, K.E., HALL, E. and HOUSTON, P., 2010. Adaptive discontinuous Galerkin methods for eigenvalue problems arising in incompressible fluid flows SIAM Journal on Scientific Computing. 31(6), 4607-4632
• GEORGOULIS, E.H., HALL, E. and MELENK, J.M., 2010. On the suboptimality of the p-version interior penalty discontinuous Galerkin method Journal of Scientific Computing. 42(1), 54-67
• GEORGOULIS, E.H., HALL, E. and HOUSTON, P., 2009. Discontinuous Galerkin methods on hp-anisotropic meshes II: a posteriori error analysis and adaptivity Applied Numerical Mathematics. 59(9), 2179-2194
• GEORGOULIS, E.H, HALL, E. and HOUSTON, P., 2007. Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes SIAM Journal on Scientific Computing. 30(1), 246-271
• GEORGOULIS, E.H, HALL, E. and HOUSTON, P., 2007. Discontinuous Galerkin Methods on hp-Anisotropic Meshes I: A Priori Error Analysis International Journal of Computing Science and Mathematics. 1(2-3), 221-244
• HOUSTON, P., GEORGOULIS, E.H. and HALL, E., 2006. Adaptivity and A Posteriori Error Estimation for DG Methods on Anisotropic Meshes In: G. Lube and G. Rapin, editors, Proceedings of the International Conference on Boundary and Interior Layers (BAIL) - Computational and Asymptotic Methods.