Gerard Awanou Publications

Energy Methods in 3D Spline Approximations of Navier-Stokes equations . Ph. D. Dissertation, University of Georgia, Athens, Ga, Spring 2003.

Mixed Finite Elements for Elasticity

A Rotated Nonconforming Rectangular Mixed Finite Element for Elasticity. , Accepted for publication in Calcolo, 2007.

Finite elements for symmetric tensors in three dimensions with D. Arnold and R. Winther. Accepted for publication in Mathematics of Computation, 2007.

Rectangular Mixed Finite Elements for Elasticity in Three Dimensions. In preparation.

Multivariate Spline Method for Numerical Solution of Partial Differential Equations

Trivariate Spline Approximations of the 3D Navier-Stokes Equations , with M.J. Lai. Mathematics of Computation 74 (2005), 585-601.

On Convergence Rate of the Augmented Lagrangian Algorithm for Nonsymmetric Saddle Point Problems , with M.J. Lai. Appl. Numer. Math. 54, no. 2 (2005), 122-134.

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, 2006, 24--74.

Trivariate Spline Approximation of Divergence-Free Vector Fields , with M.J. Lai. Preprint 2004.

Robustness of a Spline Element Method with Constraints. Accepted for publication in Journal of Scientific Computing, 2007

Mathematical Finance

Shortfall Risk Minimization under Regime Switching: Discrete Model , Decisions in Economics and Finance, Volume 30, Number 1, pp 71--78, May 2007.

Multiscale Asymptotics of Partial Hedging . Preprint, 2004.

Super-Replication of Contingent Claims on Stocks with Regime Switching Fluctuations . Preprint, 2004.

Other

C^1 Quintic Spline Interpolation over Tetrahedral Partitions , 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, with M.J. Lai.