TAMU Andrea Bonito Math@TAMU
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Accepted Publications

Book Chapters

[5] BONITO, A. AND CABOUSSAT, A. AND PICASSO, M.; Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes, in Scientific Computation. Edited by R. Glowinski and S. Osher and W. Yin, 677--729, 2017. Preprint & Abstract.
[4] BONITO, A. AND KYZA, I. AND NOCHETTO, R.H.; A dG Approach to Higher Order ALE Formulations in Time, 2012 Barrett Lectures, The IMA Volume in Mathematics and its Applications, Vol. 157, 223--258, 2013. Preprint & Abstract.
[3] BONITO, A. AND CASCÓN, J.M. AND MORIN, P. AND NOCHETTO, R.H; AFEM for Geometric PDE: The Laplace-Beltrami Operator, Analysis and Numerics of Partial Differential Equations. In memory of Enrico Magenes, Springer INdAM Series, eds U. Gianazza and F. Brezzi and P.C. Franzone and G. Gilardi, Vol. 4, 257--306, 2013. Preprint & Abstract.
[2] BONITO, A. AND CLÉMENT, PH. AND PICASSO, M.; Viscoelastic flows with complex free surfaces: Numerical analysis and simulations, Handbook of Numerical Analysis, eds P.G. Ciarlet, vol. XVI: Numerical Methods for Non-Newtonian Fluids, 305--370, 2011. Preprint & Abstract.
[1] BONITO, A. AND CABOUSSAT, A. AND PICASSO, M. AND RAPPAZ, J.; A numerical method for fluid flows with complex free surfaces, Partial Differential Equations, Comput. Methods Appl. Sci. (16), 187--208, 2008. Edited by R. Glowinski and P. Neittaanmäki, Springer. Preprint & Abstract.

Refered Journal Publications

[35] BARTELS, S. AND BONITO, A. AND MULIANA, A. AND NOCHETTO, R.H.; Modeling and simulation of thermally actuated bilayer plates. To appear in J. Comput. Phys. ArXiv 1704.01849, Preprint & Abstract.
[34] BONITO, A. AND BORTHAGARAY, J.P. AND NOCHETTO, R.H AND OTÁROLA, E. AND SALGADO , A.J; Three Numerical Methods for Fractional Diffusion. Comput. Vis. Sci., to appear. ArXiv 1707.01566, Preprint & Abstract.
[33] BONITO, A. AND LEI, W. AND PASCIAK, J.E; Numerical Approximation of space-time fractional parabolic equations. Comput. Methods Appl. Math., 17(4), 679--705, 2017. Preprint & Abstract.
[32] BONITO, A. AND COHEN, A. AND DEVORE, R. AND PETROVA, G. AND WELPER, G.; Diffusion Coefficients Estimation for Elliptic Partial Differential Equations, SIAM J. Math. Anal., 49(2), 1570--1592, 2017. Preprint & Abstract.
[31] BONITO, A. AND LEI, W. AND PASCIAK, J.E; The Approximation of Parabolic Equations Involving Fractional Powers of Elliptic Operators, J. Comput. Appl. Math., 315, 32--48, 2017. Preprint & Abstract.
[30] BONITO, A. AND PASCIAK, J.E; Numerical Approximation of Fractional Powers of Regularly Accretive Operators, IMA J. Numer. Anal., 37(3), 1245--1273, 2017. Preprint & Abstract.
[29] BARTELS, S. AND BONITO, A. AND NOCHETTO, R.H.; Bilayer Plates: Model Reduction, Γ-Convergent Finite Element Approximation and Discrete Gradient Flow, Comm. Pure Appl. Math., 70(3), 547--589, 2017. Preprint & Abstract.
[28] BONITO, A. AND CASCÓN, J.M. AND MEKCHAY, K. AND MORIN, P. AND NOCHETTO, R.H; High-Order AFEM for the Laplace-Beltrami Operator: Convergence Rates. Found. Comput. Math., 16(6), 1473--1539, 2016. Preprint & Abstract.
[27] BONITO, A. AND DEMLOW, A.; Convergence and optimality of higher-order adaptive finite element methods for eigenvalue clusters, SIAM J. Numer. Anal., 54(4), 2379--2388, 2016. Preprint & Abstract.
[26] BONITO, A. AND GUERMOND, J.-L. AND LUDDENS, F.; An Interior Penalty Method with C0 Finite Elements for the Approximation of the Maxwell Equations in Heterogeneous Media: Convergence Analysis with Minimal Regularity, Math. Model. Numer. Anal., 50(5), 1457--1489, 2016. Preprint & Abstract.
[25] BONITO, A. AND GUERMOND, J.-L. AND LEE, S.; Numerical Simulations of Bouncing Jets, Internat. J. Numer. Methods Fluids, 80(1), 53--75, 2015. Preprint & Abstract.
[24] BONITO, A. AND PASCIAK, J.E; Numerical Approximation of Fractional Powers of Elliptic Operators, Math. Comp., 84 (295), 2137--2162, 2015. Preprint & Abstract.
[23] BONITO, A. AND DEVAUD, D.; Adaptive Finite Element Methods for the Stokes Problem with Discontinuous Viscosity, Math. Comp. , 84 (295), 2083--2110, 2015. Preprint & Abstract.
[22] BONITO, A. AND GLOWINSKI, R.; On the Nodal Set of the Eigenfunctions of the Laplace-Beltrami Operator for Bounded Surfaces in ℝ3: A Computational Approach, Commun. Pure Appl. Anal., 13(5), 2115--2126, 2014. Preprint & Abstract.
[21] BONITO, A. AND GUERMOND, J.-L. AND POPOV, B.; Stability Analysis of Explicit Entropy Viscosity Methods for Non-Linear Scalar Conservation Equations, Math. Comp., 83(287), 1039--1062, 2014. Preprint & Abstract.
[20] BONITO, A. AND DEVORE, R.A. AND NOCHETTO, R.H.; Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients, SIAM J. Numer. Anal., 51(6), 3106--3134, 2013. Preprint & Abstract.
[19] BONITO, A. AND GUERMOND, J.-L. AND LUDDENS, F.; Regularity of the Maxwell Equations in Heterogeneous Media and Lipschitz Domains, J. Math. Anal. Appl., 408(2), 498--512, 2013. Preprint & Abstract.
[18] LEE, S. AND LI, E.Q. AND MARSTON, J.O. AND BONITO, A. AND THORODDSEN, S.T; Leaping shampoo glides on a lubricating layer, Phys. Rev. E. (Rapid Communication), 87(6), 4 pages, 2013. Preprint & Abstract.
[17] BONITO, A. AND KYZA, I. AND NOCHETTO, R.H.; Time-discrete higher order ALE formulations: Stability, SIAM J. Numer. Anal., 51(1), 577--608, 2013. Preprint & Abstract.
[16] BONITO, A. AND KYZA, I. AND NOCHETTO, R.H.; Time-discrete higher order ALE formulations: A priori error analysis, Numer. Math., 125(2), 225--257, 2013. Preprint & Abstract.
[15] SRINIVASAN, Sh. AND BONITO, A. AND RAJAGOPAL, K.R., Flow of a fluid through a porous solid due to high pressure gradients, Journal of Porous Media, 16(3), 193--203, 2013. Preprint & Abstract.
[14] BONITO, A. AND PASCIAK, J.E ; Convergence Analysis of Variational and non-Variational Multigrid Algorithms for the Laplace-Beltrami Operator, Math. Comp., 81(279), 1263--1288, 2012. Preprint & Abstract.
[13] BONITO, A. AND NOCHETTO, R.H. AND PAULETTI, M.S.; Dynamics of Biomembranes: Effect of the Bulk Fluid, Math. Model. Nat. Phenom., 6(5), 25--43, 2011. Preprint & Abstract.
[12] BONITO, A. AND GUERMOND, J.-L.; Approximation of the Eigenvalue Problem for Time Harmonic Maxwell System by Continuous Lagrange Finite Elements, Math. Comp., 80(276), 1887--1910, 2011. Preprint & Abstract.
[11] BONITO, A. AND NOCHETTO, R.H. AND PAULETTI, M.S.; Geometrically Consistent Mesh Modifications, SIAM J. Numer. Anal., 48(5), 1877--1899, 2010. Preprint & Abstract.
[10] BONITO, A. AND NOCHETTO, R.H.; Quasi-Optimal convergence rate of an interior penalty adaptive discontinuous Galerkin method, SIAM J. Numer. Anal., 48(2), 734--771, 2010. Preprint & Abstract.
[9] WALKER, S.W. AND BONITO, A. AND NOCHETTO, R.H.; Mixed Finite Element Method for Electrowetting On Dielectric with Contact Line Pinning, Interfaces Free Bound., 12(1), 85--119, 2010. Preprint & Abstract.
[8] BONITO, A. AND NOCHETTO, R.H. AND PAULETTI, M.S.; Parametric FEM for Geometric Biomembranes, J. Comput. Phys., 229, 3171--3188, 2010. Preprint & Abstract.
[7] BONITO, A. AND LOZINSKI, A. AND MOUNTFORD, TH.; Modeling Viscoelastic Flows using Reflected Stochastic Differential Equations, Commun. Math. Sci., 8(3), 655-670, 2010. Preprint & Abstract.
[6] BONITO, A. AND NOCHETTO, R.H AND QUAH, J. AND MARGETIS, D.; Towards self-organization of decaying surface corrugations: A numerical study, Phys. Rev. Lett. E, 79(5), 4 pages, 2009. Preprint & Abstract.
[5] BONITO, A. AND BURMAN, E.; A continuous interior penalty method for viscoelastic flows, SIAM: J. Sci. Comput., 30(3), 1156--1177, 2008. Preprint & Abstract.
[4] BONITO, A. AND CLÉMENT, PH. AND PICASSO, M.; Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow, Numer. Math., 107(2), 213--255, 2007. Preprint & Abstract.
[3] BONITO, A. AND CLÉMENT, PH. AND PICASSO, M.; Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows, Math. Model. Numer. Anal., 40(4), 785--814, 2006. Preprint & Abstract.
[2] BONITO A. AND CLÉMENT PH. AND PICASSO M.; Mathematical analysis of a stochastic simplified Hookean dumbbells model arising from viscoelastic flow, J. Evol. Equ., 6(3), 381--398, 2006. Preprint & Abstract.
[1] BONITO, A. AND PICASSO, M. AND LASO, M.; Numerical simulation of 3D viscoelastic flows with free surfaces, J. Comput. Phys., 215(2), 691--716, 2006. Preprint & Abstract.

Refered Proceedings

[4] BERRONE, S. AND BONITO, A. AND VERANI, M.; An Adaptive Fictitious Domain Method for elliptic problems , ECCOMAS 2015 - SEMA SIMAI special issue, Springer, 12, 229--244, 2016. Preprint & Abstract.
[3] BONITO, A. AND GUERMOND, J.-L. AND LEE, S.; Modiļ¬ed Pressure-Correction Projection Methods: Open Boundary and Variable Time Stepping, Numerical Mathematics and Advanced Applications - ENUMATH 2013, Lecture Notes in Computational Science and Engineering, 103, 623--631, 2015. Preprint & Abstract.
[2] BONITO, A. AND PASCIAK, J.E. ; A multigrid algorithm for an elliptic problem with a perturbed boundary condition. Numerical Solution of Partial Differential Equations: Theory, Algorithms and their Applications - In honor of Professor Raytcho Lazarov's 40 Years Research in Computational Methods and Applied Mathematics, Eds L.T. Zikatanov, 45, 69--79, 2013, XII, Springer. Preprint & Abstract.
[1] BONITO, A. AND BURMAN, E.; A face penalty method for the three fields Stokes equation ariding from Oldroyd-B viscoelastic flows, Numerical mathematics and advanced applications, 487--494, 2006. Edited by A. Bermúdez de Castro, D. Gómez, P. Quintela and P. Salgado. Refereed proceedings of the 6th European Conference (ENUMATH 2005), Springer. Preprint & Abstract.

Others

[1] Bonito, A.; Analysis and Numerical Simulation of Viscoelastic Flows: Deterministic and Stochastic Models, EPFL PhD thesis no 3490 advised by Prof. M. Picasso. Committee: Prof. R. Dalang (chair), Prof. Ph. Clément, Prof R. Glowinski, and Prof. A. Quarteroni, File & Abstract.