Recent Publications
Edwards M G, Zheng H., “Quasi M-Matrix Multi-Family Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in 3-D” SIAM J. Sci. Comput 33 (2) pp. 455-487 2011
Friis H.A. and Edwards M G “A family of MPFA Finite Volume Schemes with Full Pressure Support for the General Tensor Pressure Equation on Cell-centred Triangular Grids” J. Comput. Phys vol 230, 1, (2011), 205-231
Edwards M G, Zheng H., Lamine S. and Pal M. “Continuous Elliptic and Multi-dimensional Hyperbolic Darcy-Flux Finite-volume Methods” Computers and Fluids vol 46 (1), 12-22 2011
Edwards M G “Multi-dimensional Wave-Oriented Upwind Schemes With Reduced Cross-Wind Diffusion for Flow in Porous Media” Int. J. Numer Meth, Fluids. Vol 67, Issue 1: 33–57, Sept 2011, doi:10.1002/fld.2329
Edwards M G and Zheng H “Double-families of Quasi-Positive Darcy-Flux Approximations with Highly Anisotropic Tensors on Structured and Unstructured Grids” J. Comput. Phys 229 (2010) 594-625 doi:10.1016/j.jcp.2009.09.037
Edwards M G and Zheng H “Quasi-Positive families of Continuous Darcy-Flux Finite Volume Schemes on Structured and Unstructured Grids” Journal of Computational and Applied Mathematics 234, 7 (2010) 2152-2161 doi:10.1016/j.cam.2009.08.078
Lamine S. and Edwards M G “Higher Order Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids” SIAM J. Sci. Comput. Volume 32, Issue 3, pp. 1119-1139 (2010)
http://dx.doi.org/10.1137/080727750
Lamine S. and Edwards M G “Multidimensional Upwind Convection Schemes for Flow in Porous Media on Structured and Unstructured Quadrilateral Grids” Journal of Computational and Applied Mathematics Vol 234, Issue 7, 1 August 2010, 2106-2117 doi:10.1016/j.cam.2009.08.069
Edwards M G “Global and Local Central Non-Upwind Finite Volume Schemes for Hyperbolic Conservation Laws in Porous Media” doi:10.1002/fld.2178:
Int. J. Numer Meth, Fluids Vol 64, Issue 7, 10 November 2010, Pages: 793–811,
Friis H.A., Edwards M G and Mykkeltveit J. “Symmetric Positive Definite Flux-Continuous Full-Tensor Finite-Volume Schemes on Unstructured Cell Centered Triangular Grids” SIAM J. Sci. Comput. Vol 31, Issue 2, pp. 1192-1220 (2008)
Doi 10.1137/070692182
Edwards M G and Zheng H “A Quasi-Positive family of Continuous Darcy-Flux Finite Volume Schemes with Full Pressure Support”
J. Comput. Phys 227 (2008) 9333-9364 doi:10.1016/j.jcp.2008.05.028
Edwards M G and Pal M “Positive-definite q-families of continuous subcell Darcy-flux CVD(MPFA) finite-volume schemes and the mixed finite element method”
Int. J. Numer Meth, Fluids 57: 355-387, 2008
Lamine S. and Edwards M G “Higher Resolution Convection Schemes for Flow in Porous Media On Highly Distorted Unstructured Grids”
Int. J. Numer Meth, Eng. Vol 76, 1139-1158, 2008
Edwards M G, Zheng H., “Quasi M-Matrix Multi-Family Continuous Darcy-Flux Approximations with Full Pressure Support on Structured and Unstructured Grids in 3-D” SIAM J. Sci. Comput 33 (2) pp. 455-487 2011