Publications of José R. Fernández

Published (since 2009) or accepted for publication in journals

• Analysis of a bone remodelling model (with R. Martínez and J.M. Viaño). Communications on Pure and Applied Analysis 8(1), 255-274 (2009).
 
• An elastic-viscoplastic contact problem with damage: existence and uniqueness of a weak solution (with M. Campo and K.L. Kuttler). Archive for Rational Mechanics and Analysis 191, 423-445 (2009).
 
• An existence and uniqueness result for an elasto-piezoelectric problem with damage (with K.L. Kuttler) Mathematical Models and Methods in the Applied Sciences 19(1), 31-50 (2009).
 
• Numerical analysis of an elasto-piezoelectric problem with damage (with R. Martínez and G.E. Stavroulakis). International Journal for Numerical Methods in Engineering 77(2), 261-284 (2009).
 
• Damageable contact between an elastic body and a rigid foundation (with M. Campo and A. Silva). Journal of Computational and Applied Mathematics 224, 646-657 (2009).
 
• A priori and a posteriori error analyses in the study of viscoelastic problems (with P. Hild). Journal of Computational and Applied Mathematics 225(2), 569-580 (2009).
 
• A frictionless viscoelastodynamic contact problem with energy consistent properties: numerical analysis and computational aspects (with Y. Ayyad and M. Barboteu). Computer Methods in Applied Mechanics and Engineering 198, 669-679 (2009).
 
• Analysis of a dynamic frictional contact problem with damage (with M. Campo and K.L. Kuttler). Finite Elements in Analysis and Design 45(10), 659-674 (2009).
 
• Numerical analysis of a quasistatic elasto-piezoelectric contact problem with damage (with R. Martínez). International Journal of Computer Mathematics 86(10), 1888-1900 (2009).
 
• A residual a posteriori error estimator for elasto-viscoplasticity (with P. Hild) International Journal of Numerical Analysis and Modeling 6(4), 803-814 (2009).
 
• A posteriori error analysis for the normal compliance problem (with P. Hild). Applied Numerical Mathematics 60, 64-73 (2010).
 
• Numerical analysis of a strain-adaptive bone remodelling problem (with J.M. García-Aznar, R. Martínez and J.M. Viaño). Computer Methods in Applied Mechanics and Engineering 199, 1549-1557 (2010).
 
• A dynamic thermoviscoelastic problem: an existence and uniqueness result (with K.L. Kuttler). Nonlinear Analysis: Theory, Methods & Applications 72(11), 4124-4135 (2010).
 
• A dynamic thermoviscoelastic problem: numerical analysis and computational experiments (with K.L. Kuttler). Quarterly Journal of Mechanics and Applied Mathematics 63(3), 295-314 (2010).
 
• An existence and uniqueness result for a strain-adaptive bone remodeling problem (with K.L. Kuttler). Nonlinear Analysis Real World Applications 12, 288-294 (2011).
 
• An elasto-viscoplastic contact problem: an a posteriori error analysis and computational experiments. International Journal of Numerical Analysis and Modeling 8(3), 373-390 (2011).
 
• Numerical analysis of a contact problem including bone remodeling (with R. Martínez). Journal of Computational and Applied Mathematics 235, 1805-1811 (2011).
 
• An a posteriori error analysis for dynamic viscoelastic problems (with D. Santamarina). Mathematical Modelling and Numerical Analysis (M2AN) 45, 925-945 (2011).
 
• A normal compliance contact problem in viscoelasticity: an a posteriori error analysis and computational experiments (with R. Martínez). Journal of Computational and Applied Mathematics 235(12), 3599-3614 (2011).
 
• Numerical analysis of a quasi-static contact problem for a thermoviscoelastic beam (with M.I.M. Copetti). Journal of Computational and Applied Mathematics 235, 4165-4173 (2011).
 
• Numerical analysis of surfactant dynamics at air-water interface using the Henry isotherm (with M.C. Muñiz). Journal of Mathematical Chemistry 49, 1624-1645 (2011).
 
• Finite element approximation to a contact problem for a nonlinear thermoviscoelastic beam (with M.I.M. Copetti). Journal of Mathematical Analysis and Applications 383, 506-521 (2011).
 
• Numerical behavior of a linear mixed kinetic-diffusion model for surfactant adsorption at the air-water interface (with M.C. Muñiz and C. Núñez). Journal of Mathematical Chemistry 50, 429-438 (2012).
 
• A thermoviscoelastic problem with damage (with G. Casal). Finite Elements in Analysis and Design 50, 255–265 (2012) .
 
• Piezoelectricity could predict sites of formation/resorption in bone modeling (with J.M. García-Aznar and R. Martínez). Journal of Theoretical Biology 292 , 86-92 (2012).
 
• Numerical analysis of a piezoelectric bone remodeling problem (with J.M. García-Aznar and R. Martínez). European Journal of Applied Mathematics 23, 623-657 (2012).
 
• A mixed kinetic-diffusion surfactant model for the Henry isotherm (with M.C. Muñiz and C. Núñez). Journal of Mathematical Analysis and Applications 389 , 670-684 (2012).
 
• Numerical analysis of a diffusive strain-adaptive bone remodelling theory (with J.M. García-Aznar and R. Martínez). International Journal of Solids and Structures 49 , 2085–2093 (2012).
 
• A dynamic contact problem involving a Timoshenko beam model (with M.I.M. Copetti). Applied Numerical Mathematics 63 , 117-128 (2013).
 
• Dynamic Vibrations of a Damageable Viscoelastic Beam in Contact with Two Stops (with M. Campo and M.I.M. Copetti). Numerical Methods for Partial Differential Equations 29 , 647–666 (2013).
 
• Variational Analysis of the Langmuir–Hinshelwood Dynamic Mixed–Kinetic Adsorption Model (with P. Kalita, S. Migórski, M. C. Muñiz and C. Núñez). Nonlinear Analysis: Real World Applications 15 , 205–220 (2014).
 
• A dynamic contact problem in thermoviscoelasticity with two temperatures (with M.I.M. Copetti). Applied Numerical Mathematics 77 , 55-71 (2014).
 
• Numerical stability and convergence analysis of bone remodeling model (with N. Garijo, M.A. Pérez and J.M. García-Aznar). Computer Methods in Applied Mechanics and Engineering 271 , 253-268 (2014).
 
• On the existence of a solution for an adsorption dynamic model with the Langmuir isotherm (with M. C. Muñiz and C. Núñez). European Journal of Applied Mathematics 25 (05), 629–653 (2014).
 
• Analysis of dynamic nonlinear thermoviscoelastic beam problems (with A. Berti, M.I.M. Copetti and M.G. Naso). Nonlinear Analysis Theory Methods and Applications 95, 774-795 (2014).
 
• A dynamic thermoviscoelastic contact problem with the second sound effect (with A. Berti, M.I.M. Copetti and M.G. Naso). Journal of Mathematical Analysis and Applications 421, 1163-1195 (2015).
 
• A dynamic viscoelastic contact problem with normal compliance (with D. Santamarina). Journal of Computational and Applied Mathematics 276 , 30-46 (2015).
 

Papers recently submitted

• Numerical analysis of a nonlocal thermal problem arising in solar collectors (with A. Alvárez and M.C. Muñiz).
 
• An axisymmetric model for the analysis of dynamic surface tension (with S. Arias, L. García-Río, J. Mejuto, M.C. Muñiz and C. Núñez).
 

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