Presentations and Invited talks
1. May 19, Mimetic finite difference method for PDEs, CCMA PDEs and Numerical Methods Seminar Series, Department of Mathematics, PennState University, PA.
2. Mar 14, Mimetic discretization methods, Colloquium, Department of Mathematics, Oregon State University.
3. Mar 14, Mimetic finite difference method for diffusion problems, Applied Mathematics and Computation Seminar, Oregon State University.
2007
1. Dec 10, High order mimetic discretiations on finite volume meshes, Lawrence Livermore National Laboratory, Livermore, CA.
2. Oct 23, Optimal and Quasi-Optimal Meshes for Numerical Solution of PDEs, ADMOS 2007, Goteborg, Sweden.
3. Oct 15, Generation of quasi-optimal meshes based on a posteriori error estimates, 16th international Meshing Roundtable, Seattle, WA.
4. Sep 20, Mimetic Methods for Solving Diffusion Problems on Polyhedral Meshes, ExxonMobil Upstream Research Company, Houston, TX.
5. Sep 20, Monotone Finite Volume Methods on Unstructured Triangular and Shape-Regular Polygonal Meshes, ExxonMobil Upstream Research Company, Houston, TX.
6. Sep 7, A New Discretization Method for Solving Pressure Equation on Arbitrary Meshes, Los Alamos National Laboratory, Los Alamos, NM (slides).
7. Aug 20, Second-order Accurate Discretization Method for Diffusion Problems with Tensor Coefficients on Polyhedral Meshes, Sandia National Laboratory, Albuquerque, NM.
8. May 23, Poster "Mimetic Discretizations", OASCR Applied Mathematics PI Meeting.
9. March 20, Mimetic Finite Difference Methods on Polyhedral Meshes, SIAM Conference on Mathematical and Computational Issues in the Geosciences, Santa Fe, NM.
2006
1. December 22, Optimal and quasi-optimal meshes for numerical solution of PDEs, Innovative Computing Laboratory, University of Tennessee, Knoxville TN.
2. October 26, Mimetic Finite Difference Methods on Generalized Polyhedral Meshes, NECDC 2006, Los Alamos National Laboratory, Los Alamos NM.
3. September 18, Numerical analysis of Hessian recovery methods for generating adaptive meshes, 15th international Meshing Roundtable, Birmingham, AL (slides)
4. July 12, The new error-minimization-based moving mesh method: theoretical and numerical analysis, SIAM annual meeting (slides)
2005
1. October 11, New discretization methodology for diffusion problems on generalized polyhedral meshes, 2005 LACSI Symposium (slides)
2. September 28, The new error-minimization-based moving mesh method: theoretical and numerical analysis, Los Alamos National Laboratory (slides)
3. September 11, On discrete boundaries and solution accuracy in anisotropic adaptive meshing, 14th international Meshing Roundtable, San Diego, CA (slides)
4. July 25, Mimetic finite difference methods on unstructured polyhedral meshes, 8th US National Congress for Computational Mechanics, Austin, TX (slides)
5. July 14, A family of mimetic finite difference methods on polygonal and polyhedral meshes, SIAM Annual Meeting (slides)
6. February 14, Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes, SIAM Conference on Computational Science & Engineering (slides)
7. January 21, The error-minimization-based rezone strategy for arbitrary Lagrangian-Eulerian methods, Applied and Computational Mathematics, Tulane University, LA
2004
1. October 12, Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes, 2004 LACSI Symposium (slides)
2. September 21, Error estimates for Hessian-based mesh adaptation algorithms with control of adaptivity, 13th International Meshing Roundtable (paper)
3. July 13, The EMB rezone strategy for ALE methods, SIAM annual meeting (slides)
4. May 11-15, Poster "New mimetic discretizations of diffusion-type problems on polygonal meshes", IMA workshop Compatible Spatial Discretizations for Partial Differential Equations
5. May 5, New mimetic discretizations of diffusion-type problems on polygonal meshes, Los Alamos National Laboratory (slides)
6. April 2, Error-Minimization-Based rezone strategy for ALE methods, 8th Copper Mountain Conference (slides)
2003
1. October 27, Mimetic discretizations for diffusion equation on polygonal meshes in Cartesian and Cylindrical geometries, LACSI Symposium (slides)
2. July 30, Moving grids for problems of gas dynamics, 7th US National Congress on Computational Mechanics (slides)
3. July 30, Robust parallel algorithm for anisotropic adaptive tetrahedral meshes, 7th US National Congress on Computational Mechanics (slides)
4. July 10, Convergence of mimetic finite difference discretizations for diffusion equations, Workshop on Mimetic Discretizations of Continuum Mechanics (slides)
5. July 9, Mimetic finite difference methods for diffusion equations on non-orthogonal AMR meshes, Workshop on Mimetic Discretizations of Continuum Mechanics (slides)
6. June 25, Mimetic finite difference methods for diffusion equations on AMR meshes, Los Alamos National Laboratory (slides)
7. April 23, Algebraic multilevel preconditioner with projectors Los Alamos National Laboratory (slides)
8. April 2, Algebraic multilevel preconditioner with projectors, 11th Copper Mountain Conference (slides)
9. March 18, Mimetic finite difference methods for diffusion equations on AMR meshes, SIAM Conference on Mathematical and Computational Issues in the Geosciences (slides)
10. January 16, Moving grids for hyperbolic problems, Mesh Quality and Dynamic Meshing (slides)