Publications of David MORA

Sarvesh KUMAR, David MORA, Ricardo RUIZ-BAIER, Nitesh VERMA: Numerical solution of the Biot/elasticity interface problem using virtual element methods. Journal of Scientific Computing, vol. 98, 3, Paper No. 53, (2024).

Felipe LEPE, David MORA, Jesús VELLOJÍN: Discontinuous Galerkin methods for the acoustic vibration problem. Journal of Computational and Applied Mathematics, vol. 441, Paper No. 115700, (2024).

Dibyendu ADAK, David MORA, Alberth SILGADO: The Morley-type virtual element method for the Navier-Stokes equations in stream-function form. Computer Methods in Applied Mechanics and Engineering, vol. 419, Paper No. 116573, (2024).

Franco DASSI, David MORA, Carlos REALES, Iván VELÁSQUEZ: Mixed variational formulations of virtual elements for the polyharmonic operator. Computers & Mathematics with Applications, vol. 158, pp. 150-166, (2024).

Dibyendu ADAK, Veronica ANAYA, Mostafa BENDAHMANE, David MORA: Conforming and nonconforming virtual element methods for fourth order nonlocal reaction diffusion equation. Mathematical Models and Methods in Applied Sciences, vol. 33, No. 10, pp. 2035-2083, (2023).

Dibyendu ADAK, David MORA, Iván VELÁSQUEZ: A C$^0$-nonconforming virtual element methods for the vibration and buckling problems of thin plates. Computer Methods in Applied Mechanics and Engineering, vol. 403, Part B, 115763, (2023).

Veronica ANAYA, Arbaz KHAN, David MORA, Ricardo RUIZ-BAIER: Robust a posteriori error analysis for rotation-based formulations of the elasticity/poroelasticity coupling. SIAM Journal on Scientific Computing, vol. 44, 4, pp. B964-B995, (2022).

David MORA, Carlos REALES, Alberth SILGADO: A C1-virtual element method of high order for the Brinkman equations in stream function formulation with pressure recovery. IMA Journal of Numerical Analysis, vol. 42, 4, pp. 3632-3674, (2022).

Veronica ANAYA, David MORA, Amiya K. PANI, Ricardo RUIZ-BAIER: Error analysis for a vorticity/Bernoulli pressure formulation for the Oseen equations. Journal of Numerical Mathematics, vol. 30, 3, 209-230, (2022).

David MORA, Alberth SILGADO: A C1 virtual element method for the stationary quasi-geostrophic equations of the ocean. Computers & Mathematics with Applications, vol. 116, pp. 212–228, (2022).

Dibyendu ADAK, David MORA, Sundararajan NATARAJAN: Convergence analysis of virtual element method for nonlinear nonlocal dynamic plate equation. Journal of Scientific Computing, vol. 91, 1, article: 23, (2022).

David MORA, Iván VELÁSQUEZ: A $C^{1}-C^{0}$ conforming virtual element discretization for the transmission eigenvalue problem. Research in the Mathematical Sciences, vol. 8, 4, Paper No. 56, 21 pp., (2021).

Dibyendu ADAK, David MORA, Sundararajan NATARAJAN, Alberth SILGADO: A virtual element discretization for the time dependent Navier-Stokes equations in stream-function formulation. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 5, pp. 2535-2566, (2021).

Veronica ANAYA, Ruben CARABALLO, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Velocity-vorticity-pressure formulation for the Oseen problem with variable viscosity. Calcolo, vol. 58, 4, article: 44, (2021).

Felipe LEPE, David MORA, Gonzalo RIVERA, Iván VELÁSQUEZ: A virtual element method for the Steklov eigenvalue problem allowing small edges. Journal of Scientific Computing, vol. 82, 2, Art. Num. 44, (2021).

David MORA, Iván VELÁSQUEZ: Virtual elements for the transmission eigenvalue problem on polytopal meshes. SIAM Journal on Scientific Computing, vol. 43, 4, pp. A2425-A2447, (2021).

Carlo LOVADINA, David MORA, Iván VELÁSQUEZ: A virtual element method for the von Kármán equations. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 55, 2, pp. 533-560, (2021).

Raimund BÜRGER, Sarvesh KUMAR, David MORA, Ricardo RUIZ-BAIER, Nitesh VERMA: Virtual element methods for the three-field formulation of time-dependent linear poroelasticity. Advances in Computational Mathematics, vol. 47, 1, article: 2 (37pp), (2021).

Felipe LEPE, David MORA: Symmetric and non-symmetric discontinuous Galerkin methods for a pseudostress formulation of the Stokes spectral problem. SIAM Journal on Scientific Computing, vol. 42, No. 2, pp. A698-A722, (2020).

Veronica ANAYA, Mostafa BENDAHMANE, David MORA, Mauricio SEPÚLVEDA: A virtual element method for a nonlocal FitzHugh-Nagumo model of cardiac electrophysiology. IMA Journal of Numerical Analysis, vol. 40, 2, pp. 1544-1576, (2020).

Veronica ANAYA, Zoa DE WIJN, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Rotation-based mixed formulations for an elasticity-poroelasticity interface problem. SIAM Journal on Scientific Computing, vol. 42, 1, pp. B225–B249, (2020).

David MORA, Gonzalo RIVERA: A priori and a posteriori error estimates for a virtual element spectral analysis for the elasticity equations. IMA Journal of Numerical Analysis, vol. 40, 1, pp. 322–357, (2020).

David MORA, Iván VELÁSQUEZ: Virtual element for the buckling problem of Kirchhoff-Love plates. Computer Methods in Applied Mechanics and Engineering, vol. 360, Art. Num. 112687, (2020).

Lourenco BEIRAO-DA-VEIGA, David MORA, Giuseppe VACCA: The Stokes complex for virtual elements with application to Navier-Stokes flows. Journal of Scientific Computing, vol. 81, 2, pp. 990-1018, (2019).

Veronica ANAYA, Afaf BOUHARGUANE, David MORA, Carlos REALES, Ricardo RUIZ-BAIER, Nour SELOULA, Hector TORRES: Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations. Journal of Scientific Computing, vol. 80, 3, pp. 1577-1606, (2019).

Veronica ANAYA, Bryan GOMEZ-VARGAS, David MORA, Ricardo RUIZ-BAIER: Incorporating variable viscosity in vorticity-based formulations for Brinkman equations. Comptes Rendus Mathematique, vol. 357, 6, pp. 552-560, (2019).

Felipe LEPE, Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Mixed discontinuous Galerkin approximation of the elasticity eigenproblem. Numerische Mathematik, vol. 142, 3, pp. 749-786, (2019).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Vorticity-pressure formulations for the Brinkman-Darcy coupled problem. Numerical Methods for Partial Differential Equations, vol. 35, 2, pp. 528-544, (2019).

Veronica ANAYA, Zoa DE WIJN, David MORA, Ricardo RUIZ-BAIER: Mixed displacement-rotation-pressure formulations for elasticity. Computer Methods in Applied Mechanics and Engineering, vol. 344, pp. 71-94, (2019).

Lourenco BEIRAO-DA-VEIGA, David MORA, Gonzalo RIVERA: Virtual elements for a shear-deflection formulation of Reissner-Mindlin plates. Mathematics of Computation, vol. 88, 315, pp. 149-178, (2019).

Felipe LEPE, Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Acoustic vibration problem for dissipative fluids. Mathematics of Computation, vol. 88, 315, pp. 45-71, (2019).

David MORA, Iván VELÁSQUEZ: A virtual element method for the transmission eigenvalue problem. Mathematical Models and Methods in Applied Sciences, vol. 28, 14, pp. 2803-2831, (2018).

David MORA, Gonzalo RIVERA, Iván VELÁSQUEZ: A virtual element method for the vibration problem of Kirchhoff plates. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 52, 4, pp. 1437-1456, (2018).

Veronica ANAYA, Mostafa BENDAHMANE, David MORA, Ricardo RUIZ-BAIER: On a vorticity-based formulation for reaction-diffusion-Brinkman systems. Networks and Heterogeneous Media, vol. 13, 1, pp. 69-94, (2018).

David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A posteriori error estimates for a virtual elements method for the Steklov eigenvalue problem. Computers & Mathematics with Applications, vol. 74, 9, pp. 2172-2190, (2017).

Veronica ANAYA, David MORA, Ricardo RUIZ-BAIER: Pure vorticity formulation and Galerkin discretization for the Brinkman equations. IMA Journal of Numerical Analysis, vol. 37, 4, pp. 2020-2041, (2017).

Lourenco BEIRAO-DA-VEIGA, David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A virtual element method for the acoustic vibration problem. Numerische Mathematik, vol. 136, 3, pp. 725-763, (2017).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Mixed methods for a stream-function – vorticity formulation of the axisymmetric Brinkman equations. Journal of Scientific Computing, vol. 71, 1, pp. 348-364, (2017).

Veronica ANAYA, David MORA, Ricardo OYARZÚA, Ricardo RUIZ-BAIER: A priori and a posteriori error analysis of a mixed scheme for the Brinkman problem. Numerische Mathematik, vol. 133 , pp. 781-817, (2016).

Sergio CAUCAO, David MORA, Ricardo OYARZÚA: A priori and a posteriori error analysis of a pseudostress-based mixed formulation of the Stokes problem with varying density. IMA Journal of Numerical Analysis, vol. 36, 2, pp. 947-983, (2016).

Felipe LEPE, David MORA, Rodolfo RODRÍGUEZ: Finite element analysis of a bending moment formulation for the vibration problem of a non-homogeneous Timoshenko beam. Journal of Scientific Computing, vol. 66, 2, pp. 825-848, (2016)

Salim MEDDAHI, David MORA: Nonconforming mixed finite element approximation of a fluid-structure interaction spectral problem. Discrete and Continuous Dynamical Systems - Series S, vol. 9, 1, pp. 269-287, (2016).

Veronica ANAYA, Gabriel N. GATICA, David MORA, Ricardo RUIZ-BAIER: An augmented velocity-vorticity-pressure formulation for the Brinkman problem. International Journal for Numerical Methods in Fluids, vol. 79, 3, pp. 109-137, (2015).

Lourenco BEIRAO-DA-VEIGA, Carlo LOVADINA, David MORA: A virtual element method for elastic and inelastic problems on polytope meshes. Computer Methods in Applied Mechanics and Engineering, vol. 295, pp. 327-346, (2015).

David MORA, Gonzalo RIVERA, Rodolfo RODRÍGUEZ: A virtual element method for the Steklov eigenvalue problem. Mathematical Models and Methods in Applied Sciences, vol. 25, 8, pp. 1421-1445, (2015).

Veronica ANAYA, David MORA, Carlos REALES, Ricardo RUIZ-BAIER: Stabilized mixed approximation of axisymmetric Brinkman flows. Mathematical Modelling and Numerical Analysis, vol. 49, 3, pp. 855-874, (2015).

Felipe MILLAR, David MORA: A finite element method for the buckling problem of simply supported Kirchhoff plates. Journal of Computational and Applied Mathematics, vol. 286, pp. 68-78, (2015).

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: A finite element analysis of a pseudostress formulation for the Stokes eigenvalue problem. IMA Journal of Numerical Analysis, vol. 35, 2, pp. 749-766, (2015).

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Finite element analysis for a pressure-stress formulation of a fluid-structure interaction spectral problem. Computers & Mathematics with Applications, vol. 68, 12-A, pp. 1733-1750, (2014).

Felipe LEPE, David MORA, Rodolfo RODRÍGUEZ: Locking-free finite element method for a bending moment formulation of Timoshenko beams. Computers & Mathematics with Applications, vol. 68, 3, pp. 118-131, (2014).

Paola ANTONIETTI, Lourenco BEIRAO-DA-VEIGA, David MORA, Marco VERANI: A stream virtual element formulation of the Stokes problem on polygonal meshes. SIAM Journal on Numerical Analysis, vol. 52, 1, pp. 386-404, (2014).

Veronica ANAYA, David MORA, Ricardo RUIZ-BAIER: An augmented mixed finite element method for the vorticity–velocity–pressure formulation of the Stokes equations. Computer Methods in Applied Mechanics and Engineering, vol. 267, 1, pp. 261-274, (2013).

Lourenco BEIRAO-DA-VEIGA, Carlo LOVADINA, David MORA: Numerical results for mimetic discretization of Reissner-Mindlin plate problems. Calcolo, vol. 50, 3, pp 209-237, 2013.

Salim MEDDAHI, David MORA, Rodolfo RODRÍGUEZ: Finite element spectral analysis for the mixed formulation of the elasticity equations. SIAM Journal on Numerical Analysis, vol. 51, 2, pp. 1041-1063, (2013).

Lourenco BEIRAO-DA-VEIGA, David MORA, Rodolfo RODRÍGUEZ: Numerical analysis of a locking-free mixed finite element method for a bending moment formulation of Reissner-Mindlin plate model. Numerical Methods for Partial Differential Equations, vol. 29, 1, pp. 40-63, (2013).

Lourenco BEIRAO-DA-VEIGA, David MORA: A mimetic discretization of the Reissner–Mindlin plate bending problem. Numerische Mathematik, vol. 117, 3, pp. 425-462, (2011).

Carlo LOVADINA, David MORA, Rodolfo RODRÍGUEZ: A locking-free finite element method for the buckling problem of a non-homogeneous Timoshenko beam. ESAIM: Mathematical Modelling and Numerical Analysis, vol. 45, 4, pp. 603-626, (2011).

Carlo LOVADINA, David MORA, Rodolfo RODRÍGUEZ: Approximation of the buckling problem for Reissner-Mindlin plates. SIAM Journal on Numerical Analysis, vol. 48, 2, pp. 603-632, (2010)

David MORA, Rodolfo RODRÍGUEZ: A piecewise linear finite element method for the buckling and the vibration problems of thin plates. Mathematics of Computation, vol. 78, 268, pp. 1891-1917, (2009)