Gerard Awanou Selected PublicationsLast Modified, December 27, 2018
Energy Methods in 3D Spline Approximations of
NavierStokes equations
. Ph. D. Dissertation, University of Georgia, Athens, Ga, Spring 2003. Fully nonlinear equationsCanonical Finite Element MethodsThe Serendipity Family of Finite Elements , with D. Arnold. Found. Comput. Math., 11, 337344, 2011.Finite Element Differential Forms on Cubical Meshes, with D. Arnold, Mathematics of Computation 83, 15511570, 2014. Mixed Finite Elements for ElasticityRectangular Mixed Finite Elements for Elasticity , with D. Arnold. Math. Models and Methods in Appl. Sci. 15, 14171429, 2005.Finite elements for symmetric tensors in three dimensions with D. Arnold and R. Winther. Math. Comp. 77, 12291251, 2008. A Rotated Nonconforming Rectangular Mixed Finite Element for Elasticity, , Calcolo 46.1, pp. 4960, 2009. Symmetric Matrix Fields in the Finite Element Method , Symmetry, 2(3), pp. 13751389, 2010. Two remarks on rectangular mixed finite elements for elasticity , J. of Scientific Computing, 50, 1, 91102 2012. Rectangular Mixed Elements for Elasticity with Weakly Imposed Symmetry Condition, Adv. Comput. Math. 38, no. 2, 351367, 2013. Nonconforming tetrahedral mixed finite elements for elasticity, with D. Arnold and R. Winther, Math. Models and Methods in Appl. Sciences, 24, 4, 783796, 2014. Mixed finite elements for elasticity on quadrilateral meshes with D. Arnold and F. Qiu. Advances in Comp. Math. 41, 553572, 2015. Multivariate Spline Method for Numerical Solution of Partial Differential EquationsTrivariate Spline Approximations of the 3D NavierStokes Equations , with M.J. Lai. Mathematics of Computation 74, 585601, 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, 2474, 2006. Robustness of a Spline Element Method with Constraints. Journal of Scientific Computing, Vol. 36, Issue 3, pp. 421432, 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, 122134, 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. 116, 2002.
Mathematical FinanceShortfall Risk Minimization under Regime Switching: Discrete Model , Decisions in Economics and Finance, Volume 30, Number 1, pp 7178, May 2007.
ReportsReports available online and submitted papers
