All Stories

  1. The arbitrary order mixed mimetic finite difference method for the diffusion equation

    Article • ESAIM Mathematical Modelling and Numerical Analysis, May 2016, EDP Sciences

    Gianmarco Manzini

  2. On the local non-conforming virtual element spaces

    Article • November 2014, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  3. A non-linear constrained optimization technique for the mimetic finite difference method

    Article • September 2014, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  4. A high-order mimetic method on unstructured polyhedral meshes for the diffusion equation

    Article • Journal of Computational Physics, September 2014, Elsevier

    Gianmarco Manzini

  5. Post processing of solution and flux for the nodal mimetic finite difference method

    Article • Numerical Methods for Partial Differential Equations, July 2014, Wiley

    Gianmarco Manzini

  6. M-Adaptation in the mimetic finite difference method

    Article • Mathematical Models and Methods in Applied Sciences, July 2014, World Scientific Pub Co Pte Lt

    Gianmarco Manzini

  7. ARBITRARY ORDER NODAL MIMETIC DISCRETIZATIONS OF ELLIPTIC PROBLEMS ON POLYGONAL MESHES WITH ARBITRARY REGULAR SOLUTION

    Article • May 2014, Editora Edgard Blucher, Ltda.

    Gianmarco Manzini

  8. Mimetic inner products and reconstruction operators

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  9. Mimetic discretization of bilinear forms

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  10. Foundations of mimetic finite difference method

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  11. Other linear and nonlinear mimetic schemes

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  12. The Mimetic Finite Difference Method for Elliptic Problems

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  13. Mimetic finite difference method

    Article • Journal of Computational Physics, January 2014, Elsevier

    Gianmarco Manzini

  14. Mimetic scalar products of discrete differential forms

    Article • Journal of Computational Physics, January 2014, Elsevier

    Gianmarco Manzini

  15. The diffusion problem in primal form

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  16. The diffusion problem in mixed form

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  17. Analysis of parameters and maximum principles

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  18. Maxwell’s equations

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  19. Diffusion problem on generalized polyhedral meshes

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  20. Elasticity and plates

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  21. Model elliptic problems

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  22. The Stokes problem

    Article • January 2014, Springer Science + Business Media

    Gianmarco Manzini

  23. Monotonicity conditions in the nodal mimetic finite difference method for diffusion problems on quadrilateral meshes

    Article • May 2013, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  24. The Mimetic Finite Difference Method

    Article • May 2013, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  25. Residual a posteriori error estimation of a mimetic/virtual element method

    Article • January 2013, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  26. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity.

    Article • July 2012, Office of Scientific and Technical Information (OSTI)

    Gianmarco Manzini

  27. Analysis of the monotonicity conditions in the mimetic finite difference method for elliptic problems

    Article • Journal of Computational Physics, April 2011, Elsevier

    Gianmarco Manzini

  28. Convergence of the mimetic finite difference method for eigenvalue problems in mixed form

    Article • Computer Methods in Applied Mechanics and Engineering, February 2011, Elsevier

    Gianmarco Manzini

  29. Benchmark 3D: Mimetic Finite Difference Method for Generalized Polyhedral Meshes

    Article • January 2011, Springer Science + Business Media

    Gianmarco Manzini

  30. Monotonicity Conditions in the Mimetic Finite Difference Method

    Article • January 2011, Springer Science + Business Media

    Gianmarco Manzini

  31. Arbitrary order nodal mimetic discretizations of elliptic problems on polygonal meshes

    Article • January 2011, Springer Science + Business Media

    Gianmarco Manzini

  32. Arbitrary-Order Nodal Mimetic Discretizations of Elliptic Problems on Polygonal Meshes

    Article • SIAM Journal on Numerical Analysis, January 2011, Society for Industrial & Applied Mathematics (SIAM)

    Gianmarco Manzini

  33. The mimetic finite difference method for the 3D magnetostatic field problems on polyhedral meshes

    Article • Journal of Computational Physics, January 2011, Elsevier

    Gianmarco Manzini

  34. A unified approach for handling convection terms in finite volumes and mimetic discretization methods for elliptic problems

    Article • IMA Journal of Numerical Analysis, December 2010, Oxford University Press (OUP)

    Gianmarco Manzini

  35. Error Analysis for a Mimetic Discretization of the Steady Stokes Problem on Polyhedral Meshes

    Article • SIAM Journal on Numerical Analysis, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Gianmarco Manzini

  36. Mimetic finite difference method for the Stokes problem on polygonal meshes

    Article • Journal of Computational Physics, October 2009, Elsevier

    Gianmarco Manzini

  37. Convergence analysis of the high-order mimetic finite difference method

    Article • Numerische Mathematik, May 2009, Springer Science + Business Media

    Gianmarco Manzini

  38. Convergence Analysis of the Mimetic Finite Difference Method for Elliptic Problems

    Article • SIAM Journal on Numerical Analysis, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Gianmarco Manzini

  39. Ana posteriorierror estimator for the mimetic finite difference approximation of elliptic problems

    Article • International Journal for Numerical Methods in Engineering, December 2008, Wiley

    Gianmarco Manzini

  40. Flux reconstruction and solution post-processing in mimetic finite difference methods

    Article • Computer Methods in Applied Mechanics and Engineering, February 2008, Elsevier

    Gianmarco Manzini

  41. A Higher-Order Formulation of the Mimetic Finite Difference Method

    Article • SIAM Journal on Scientific Computing, January 2008, Society for Industrial & Applied Mathematics (SIAM)

    Gianmarco Manzini