1 |
Park, C. and Sheen, D., 2003, "P1-Nonconforming Quadrilateral Finite Element Method for Second- Order Elliptic Problems," SIAM Journal on Numerical Analysis, Vol. 41, No. 2, pp. 624-640.
DOI
ScienceOn
|
2 |
Hughes, T. J. R., Liu, W. K. and Brooks, A., 1979, "Finite Element Analysis of Incompressble Viscous Flows by the Penalty Function Formulation," Journal of Computational Physics, Vol. 30, pp. 1-60.
DOI
ScienceOn
|
3 |
Bendsøe, M. P. and Sigmund, O., 2004, Topology Optimization - Theory, Methods, and Applications, Springer, Berlin Heidelberg New York.
|
4 |
Svanberg, K., 1987, "The Method of Moving Asymptotes - a New Method for Structural Optimization," International Journal for Numerical Methods in Engineering, Vol. 24, pp. 359-373.
DOI
ScienceOn
|
5 |
Guest, J. K. and Prévost J. H., 2006, "Topology Optimization of Creeping Fluid Flows Using a Darcy- Stokes Finite Element," International Journal for Numerical Methods in Engineering, Vol. 66, pp. 461-484.
DOI
ScienceOn
|
6 |
Wiker, N., Klarbring, A. and Borrvall, T., 2007, "Topology Optimization of Regions of Darcy and Stokes Flow," International Journal for Numerical Methods in Engineering, Vol. 69, pp. 1374-1404.
DOI
ScienceOn
|
7 |
Gersborg-Hansen, A., Sigmund, O. and Haber, R. B., 2005, "Topology Optimization of Channel Flow Problems," Structural and Multidisciplinary Optimization, Vol. 30, pp. 181-192.
DOI
|
8 |
Brenner, S. and Sung, L., 1992, "Linear Finite Element Methods for Planar Elasticity," Mathematics of Computation, Vol. 59, pp. 321-338.
DOI
ScienceOn
|
9 |
Douglas, Jr. J., Santos, J. E. and Sheen D., 2001, "Nonconforming Galerkin Methods for the Helmholtz Problem," Numerical Methods for Partial Differential Equations, Vol. 17, pp. 475-494.
DOI
ScienceOn
|
10 |
Douglas, Jr. J., Santos, J., E. and Sheen D., 2000, "A Nonconforming Mixed Finite Element Methods for Maxwell's Equations," Mathematical Models and Methods in Applied Sciences, Vol. 10, No. 4, pp. 596-613.
|
11 |
Douglas, Jr. J., Santos, J. E., Sheen, D. and Ye, X., 1999, "Nonconforming Galerkin Methods Based on Quadrilateral Elements for Second Order Elliptic Problems," RAIRO Mathematical Modeling and Numerical Analysis, Vol. 33, No. 4, pp. 747-770.
DOI
ScienceOn
|
12 |
Lee, C.-O., Lee, J. and Sheen, D., 2003, "A Locking-Free Nonconforming Finite Element Methods for Planar Linear Elasticity," Advances in Computational Mathematics, Vol. 19, pp. 277-291.
DOI
ScienceOn
|
13 |
Rannacher, R. and Turek, S., 1972, "Simple Nonconforming Quadrilateral Stokes Element," Numerical Methods for Partial Differential Equations, Vol. 8, pp. 97-111.
|
14 |
Borrvall, T. and Petersson, J., 2003, "Topology Optimization of Fluids in Stokes Flow," International Journal for Numerical Methods in Fluids, Vol. 41, pp. 77-107.
DOI
ScienceOn
|
15 |
Jang, G. W., Henry, P. and Chung, T., 2010, "P1- Nonconforming Quadrilateral Finite Element for Topology Optimization," International Journal for Numerical Methods in Engineering, Vol. 84, pp. 685-707.
DOI
ScienceOn
|