| Authors: | Lipnikov, K. and Svyatskiy, D. and Vassilevski, Y. |
| Title: | A monotone finite volume method for advection-diffusion equations on unstructured polygonal meshes |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2010 |
| Vol.: | 229 |
| No.: | 11 |
| pp.: | 4017-4032 |
| Authors: | Evans, John A. and Hughes, Thomas J. R. and Sangalli, Giancarlo |
| Title: | Enforcement of constraints and maximum principles in the variational multiscale method |
| Journal: | COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING |
| Year: | 2009 |
| Vol.: | 199 |
| No.: | 1-4 |
| pp.: | 61-76 |
| Authors: | Nakshatrala, K. B. and Valocchi, A. J. |
| Title: | Non-negative mixed finite element formulations for a tensorial diffusion equation |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2009 |
| Vol.: | 228 |
| No.: | 18 |
| pp.: | 6726-6752 |
| Authors: | Sheng, Zhiqiang and Yue, Jingyan and Yuan, Guangwei |
| Title: | MONOTONE FINITE VOLUME SCHEMES OF NONEQUILIBRIUM RADIATION DIFFUSION EQUATIONS ON DISTORTED MESHES |
| Journal: | SIAM JOURNAL ON SCIENTIFIC COMPUTING |
| Year: | 2009 |
| Vol.: | 31 |
| No.: | 4 |
| pp.: | 2915-2934 |
| Authors: | Karatson, Janos and Korotov, Sergey |
| Title: | AN ALGEBRAIC DISCRETE MAXIMUM PRINCIPLE IN HILBERT SPACE WITH APPLICATIONS TO NONLINEAR COOPERATIVE ELLIPTIC SYSTEMS |
| Journal: | SIAM JOURNAL ON NUMERICAL ANALYSIS |
| Year: | 2009 |
| Vol.: | 47 |
| No.: | 4 |
| pp.: | 2518-2549 |
| Authors: | Darwish, M. and Moukalled, F. |
| Title: | A Compact Procedure for Discretization of the Anisotropic Diffusion Operator |
| Journal: | NUMERICAL HEAT TRANSFER PART B-FUNDAMENTALS |
| Year: | 2009 |
| Vol.: | 55 |
| No.: | 5 |
| pp.: | 339-360 |
| Authors: | Yuan, Guangwei and Sheng, Zhiqiang |
| Title: | Monotone finite volume schemes for diffusion equations on polygonal meshes |
| Journal: | JOURNAL OF COMPUTATIONAL PHYSICS |
| Year: | 2008 |
| Vol.: | 227 |
| No.: | 12 |
| pp.: | 6288-6312 |