Gerard Awanou Selected PublicationsLast Modified, December 27, 2018
Energy Methods in 3D Spline Approximations of
. Ph. D. Dissertation, University of Georgia, Athens, Ga, Spring 2003.
Fully nonlinear equations
Canonical Finite Element MethodsThe Serendipity Family of Finite Elements , with D. Arnold. Found. Comput. Math., 11, 337-344, 2011.
Finite Element Differential Forms on Cubical Meshes, with D. Arnold, Mathematics of Computation 83, 1551-1570, 2014.
Mixed Finite Elements for ElasticityRectangular Mixed Finite Elements for Elasticity , with D. Arnold. Math. Models and Methods in Appl. Sci. 15, 1417-1429, 2005.
Finite elements for symmetric tensors in three dimensions with D. Arnold and R. Winther. Math. Comp. 77, 1229-1251, 2008.
A Rotated Nonconforming Rectangular Mixed Finite Element for Elasticity, , Calcolo 46.1, pp. 49--60, 2009.
Symmetric Matrix Fields in the Finite Element Method , Symmetry, 2(3), pp. 1375-1389, 2010.
Two remarks on rectangular mixed finite elements for elasticity , J. of Scientific Computing, 50, 1, 91-102 2012.
Rectangular Mixed Elements for Elasticity with Weakly Imposed Symmetry Condition, Adv. Comput. Math. 38, no. 2, 351-367, 2013.
Nonconforming tetrahedral mixed finite elements for elasticity, with D. Arnold and R. Winther, Math. Models and Methods in Appl. Sciences, 24, 4, 783-796, 2014.
Mixed finite elements for elasticity on quadrilateral meshes with D. Arnold and F. Qiu. Advances in Comp. Math. 41, 553-572, 2015.
Multivariate Spline Method for Numerical Solution of Partial Differential EquationsTrivariate Spline Approximations of the 3D Navier-Stokes Equations , with M.J. Lai. Mathematics of Computation 74, 585-601, 2005.
The Multivariate Spline Method for Scattered Data Fitting and Numerical Solution of Partial Differential Equations, with M.J. Lai and P. Wenston in Wavelets and Splines: Athens 2005, edited by G. Chen and M. J. Lai, Nashboro Press, 24-74, 2006.
Robustness of a Spline Element Method with Constraints. Journal of Scientific Computing, Vol. 36, Issue 3, pp. 421--432, 2008.
Iterative MethodsOn Convergence Rate of the Augmented Lagrangian Algorithm for Nonsymmetric Saddle Point Problems , with M.J. Lai. Appl. Numer. Math. 54, no. 2, 122-134, 2005.
Scattered Data Interpolation MethodsC^1 Quintic Spline Interpolation over Tetrahedral Partitions , with M.J. Lai, in Approximation Theory 10: Wavelets, Splines and Applications, edited by C.K. Chui, L.L. Schumaker and J. Stoeckler, Vanderbilt Univ. Press, pp. 1-16, 2002.
Shortfall Risk Minimization under Regime Switching: Discrete Model , Decisions in Economics and Finance, Volume 30, Number 1, pp 71--78, May 2007.
ReportsReports available online and submitted papers