Convection dominated flows - key publications

Hemker, P.W., Shishkin, G.I. & Shishkina, L.P. High-Order Time-Accurate Schemes for Parabolic Singular Perturbation Problems with Convection Russian J. Numer. Anal. Math. Modelling, 17 (2002), No. 1, pp. 1--24. Hemker, P.W., Shishkin, G.I. & Shishkina, L.P. High-Order Time-Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems with Robin Boundary Conditions. Comp. Methods in Appl. Math. 2 (2002) No.1, pp. 3--25. P.W. Hemker, W. Hoffmann & M.H.
  • Hemker, P.W., Shishkin, G.I. & Shishkina, L.P. High-Order Time-Accurate Schemes for Parabolic Singular Perturbation Problems with Convection Russian J. Numer. Anal. Math. Modelling, 17 (2002), No. 1, pp. 1--24.
  • Hemker, P.W., Shishkin, G.I. & Shishkina, L.P. High-Order Time-Accurate Schemes for Singularly Perturbed Parabolic Convection-Diffusion Problems with Robin Boundary Conditions. Comp. Methods in Appl. Math. 2 (2002) No.1, pp. 3--25.
  • P.W. Hemker, W. Hoffmann & M.H. van Raalte Discontinuous Galerkin discretisation with embedded boundary conditions Comp. Methods in Appl. Math. 3 (2003) No.1, pp. 135--158.
  • Shishkin, G.I., Hemker, P.W. & Shishkina, L.P. Novel Defect-Correction High-Order, in Space and Time, Accurate Schemes for ParaboliC Singularly Perturbed Convection-Diffusion Problems Comp. Methods in Appl. Math. 3 (2003) No.3, pp. 387--404.
  • Shishkin, G.I., Shishkina, L.P. & Hemker P.W. A class of singularly perturbed convection-diffusion problems with a moving interior layer. An a posteriori adaptive mesh technique. Comp. Methods in Appl. Math. 4 (2004) No.1, pp. 105--127.
  • P.W. Hemker; W. Hoffmann; M.H. van Raalte, Fourier two-level analysis for discontinuous Galerkin discretization with linear elements, Numerical Linear Algebra with Applications 11 (2004) 473--491.
  • P.W. Hemker; W. Hoffmann; M.H. van Raalte, Two-level Fourier analysis of a multigrid approach for discontinuous Galerkin discretisation, SIAM Journal on Scientific Computing, Vol.25, pp.1018-1041, 2004.