Publications


In preparation

  1. F. Lepe, D. Mora, G. Rivera, and I. Vel\'asquez
    A posteriori VEM for acoustics.


Preprints

  1. F. Lepe and D. Quero
    A priori and a posteriori error analysis for the generalized Oseen problem with Dirac measures.
    Submitted. (pdf)

  2. F. Lepe, G. Rivera and J. Vellojin
    Mixed methods for the velocity-pressure-pseudostress formulation of the Stokes eigenvalue problem.
    Submitted. (pdf)

  3. D. Inzunza, F. Lepe, and G. Rivera
    Displacement-Pseudostress formulation for the linear elasticity spectral problem: a priori analysis.
    Submitted. (pdf)

  4. E. Hern\'andez, F. Lepe, and J. Vellojin
    Analysis of an abstract mixed formulation for viscoelastic problems.
    Submitted. (pdf)

  5. E. Hern\'andez, F. Lepe, and J. Vellojin
    A mixed viscoelastic formulation with applications to linear viscoelasticity.
    Submitted. (pdf)

  6. F. Lepe, D. Mora, G. Rivera, and I. Vel\'asquez
    A virtual element method for the Steklov eigenvalue problem allowing small edges.
    Submitted. (pdf)


Published or Accepted for Publication

  1. F. Lepe, E. Ot\'arola, and D. Quero
    Error estimates for FEM discretizations of the Navier-Stokes equations with Dirac measures.
    Journal of Scientific Computing (Accepted).

  2. F. Fuica, F. Lepe, E. Ot\'arola, and D. Quero
    A posteriori error estimates in $W^{1,p} \times L^p$ spaces for the Stokes system with Dirac measures.

    Computers & Mathematics with Applications (Accepted).

  3. F. Lepe and G. Rivera
    A priori error analysis for a mixed VEM discretization of the spectral problem for the Laplacian operator.

    Calcolo (Accepted).

  4. F. Lepe and G. Rivera
    A virtual element approximation for the pseudostress formulation of the Stokes eigenvalue problem.

    Computer Methods in Applied Mechanics and Engineering (Accepted).

  5. F. Lepe and D. Mora
    Symmetric and nonsymmetric discontinuous Galerkin methods for a pseudostress formulation of the Stokes spectral problem.

    SIAM Journal of Scientific Computing, Vol. 42, 2, pp. A698- A722, (2020).

  6. F. Lepe, S. Meddahi, D. Mora, and R. Rodr\'iguez
    Mixed discontinuous Galerkin approximation of the elasticity eigenproblem.

    Numerische Mathematik, Vol. 142, 3, pp. 749–786, (2019).

  7. F. Lepe, S. Meddahi, D. Mora, and R. Rodr\'iguez
    Acoustic vibration problem for dissipative fluids.

    Mathematics of Computation, Vol. 88, pp. 45-71, (2019).

  8. F. Lepe, D. Mora, and R. Rodr\'iguez
    Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam.

    Journal of Scientific Computing, Vol. 66, pp. 825-848, (2016).

  9. F. Lepe, D. Mora, and R. Rodr\'iguez
    Locking-free finite element method for a bending moment formulation of Timoshenko beams.

    Computers & Mathematics with Applications, Vol. 68, 3, pp. 118-131, (2014).