"Journal of Computational Physics", 2006

• Fast dynamic grid deformation based on Delaunay graph mapping. 
• The mimetic finite difference discretization of diffusion problem on unstructured polyhedral meshes.
• An adaptive fast solver for the modified Helmholtz equation in two dimensions. 
• AEGIS: An adaptive ideal-magnetohydrodynamics shooting code for axisymmetric plasma stability. 
• A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids. 

• A shock-capturing SPH scheme based on adaptive kernel estimation. 
• A multigrid finite element solver for the Cahn–Hilliard equation. 

• Spectral (finite) volume method for conservation laws on unstructured grids V: Extension to three-dimensional systems. 
• A fully implicit, nonlinear adaptive grid strategy. 

• A pseudo-spectral multiscale method: Interfacial conditions and coarse grid equations. 
• Analysis of stability and accuracy of finite-difference schemes on a skewed mesh. 
• Modified interpolation kernels for treating diffusion and remeshing in vortex methods. 
• An adaptive local deconvolution method for implicit LES.

• Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension.
• Construction of the discrete geometric conservation law for high-order time-accurate simulations on dynamic meshes.
• A robust unstructured grid discretization for 3-dimensional hydrostatic flows in spherical geometry: A new numerical structure for ocean general circulation modeling.