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1. Nitsche's prescription of Dirichlet conditions in the finite element approximation of Maxwell's problem

Author

Boffi, D., Codina, R., and Türk, Ö.

Subjects
Mathematics - Numerical Analysis
Abstract

In this paper we consider the finite element approximation of Maxwell's problem and analyse the prescription of essential boundary conditions in a weak sense using Nitsche's method. To avoid indefiniteness of the problem, the original equations are augmented with the gradient of a scalar field that allows one to impose the zero divergence of the magnetic induction, even if the exact solution for this scalar field is zero. Two finite element approximations are considered, namely, one in which the approximation spaces are assumed to satisfy the appropriate inf-sup condition that render the standard Galerkin method stable, and another augmented and stabilised one that permits the use of finite element interpolations of arbitrary order. Stability and convergence results are provided for the two finite element formulations considered.

Published
2023

31. Incidence of first cardiovascular event in Spanish patients with inflammatory rheumatic diseases: prospective data from the CARMA Project

Author

Martin-Martinez M, Castaneda S, Gonzalez-Juanatey C, Sanchez-Alonso F, Garcia-Gomez C, Lopez-Gonzalez R, Babio-Herraiz J, Juan-Mas A, Moreno-Gil M, Sanchez-Gonzalez C, Romera-Baures M, Pinto-Tasende J, Tornero-Molina J, Fabregas-Canales D, Llorca J, Gonzalez-Gay M, de Rabago E, Morales E, Lopez J, Villar N, Sandoval A, Garcia F, De Miquel C, Fernandez M, Codina R, Yoldi B, Ramentol M, Avila G, Barril S, Quesada E, Steiner M, Munoz S, Cobo T, Gamero F, Toron J, Espino P, Ros I, Ibanez M, Murillo C, Sanmarti R, Berman H, Cabrera S, Ruiz V, Paton O, Gutierrez B, Abasolo L, Pina J, Nolla J, Arias M, Vadillo J, de Vicuna R, Nebro A, Arija S, Lopez M, Urena I, Irigoyen M, Cagigal V, Garrido D, Aparicio A, Gomez R, Bautista P, Sanz A, Bachiller J, Manero F, Zorzo F, Ubeda E, Garcia J, Audera C, Medrano M, Pecondon A, Erausquin C, Ojeda S, Quevedo J, Francisco F, Lozano C, Longo F, Gerona D, Fernandez C, Monteagudo I, del Pino J, Gonzalez M, Corrales A, Peiro M, Senabre J, Rosas J, Rotes I, Moreno E, Erra A, Grado D, Calvo J, Rueda A, Moller I, Rodriguez I, Barbadillo C, Raya E, Morales P, Nieto A, Jimenez I, Magro C, Escribano A, Exposito S, Nievas G, Navarro E, Morales M, Bastero I, Consuegra G, Palmou N, Pardo S, Pujol M, Alonso E, Salvador G, Alvarez B, Cantabrana A, Bustabad S, Delgado E, Munoz A, Montero S, Jimenez L, Redondo J, Hernandez T, Polo F, Almagro R, Moreno J, Serret E, Barroso C, Mendez L, Navio M, Carballido C, Pagan E, del Castillo P, Naredo E, Cruz A, Turrion A, Sanchez J, Galindo M, Gonzalez J, Collantes E, Ruiz D, Font P, Bonilla G, Meseguer A, Moreno M, Martinez M, Linares L, Morcillo M, Gomez M, Rivera N, Berrizbeitia O, Vivar M, Riera M, Leon Y, Maymo J, Amirall M, Escolano S, Serrano S, Bona M, Fiter J, Melon J, Espadaler L, Maiz O, Belzunegui J, Banegil I, Diaz C, Valls R, Castellvi I, Bonet M, Ruzafa E, Alen J, Sandoval T, Evrard E, Godo J, Espartero C, Blasco F, Miranda-Filloy J, and CARMA Project Collaborative Grp

Subjects
rheumatoid arthritis, psoriatic arthritis, ankylosing spondylitis, incidence, cohort study, CARMA project, cardiovascular diseases
Abstract

Objective To determine the incidence and risk factors of first cardiovascular event (CVE) in patients with chronic inflammatory rheumatic diseases (CIRD). Methods Analysis of data after 2.5 years of follow-up from the prospective study CARMA project, that includes patients with CIRD [rheumatoid arthritis (RA), ankylosing spondylitis (AS), and psoriatic arthritis (PsA)] and matched individuals without CIRD from 67 hospitals in Spain. CVE cumulative incidence per 1000 patients was calculated after 2.5 years from the start of the project. Weibull proportional hazard model was used to calculate hazard ratio (HR) and 95% confidence interval (95% CI) of the risk factors. Results 2595 (89.1%) patients completed the 2.5 years of follow-up visit. Cumulative incidence of CVE in patients with CIRD was 15.30 cases per 1000 patients (95% CI: 12.93-17.67), being higher in the subgroup with AS; 22.03 (95% CI: 11.01-33.04). Patients with AS (HR: 4.11; 95% CI: 1.07-15.79), those with older age (HR: 1.09; 95% CI: 1.05-1.13), systolic hypertension (HR: 1.02; 95% CI: 1.00-1.04) and long duration of the disease (HR: 1.07; 95% CI: 1.03-1.12) were at higher risk of first CVE during the 2.5 years of follow-up. In contrast, female gender was a protective factor (HR: 0.43; 95% CI: 0.18-1.00). Conclusion Among CIRD patients prospectively followed-up at rheumatology outpatient clinics, those with AS show higher risk of first CVE. Besides cardiovascular risk factors, such as hypertension, being a man and older

Published
2019

32. Hyperlipoproteinaemia(a) in patients with spondyloarthritis: results of the Cardiovascular in Rheumatology (CARMA) project

Author

Garcia-Gomez, C, Martin-Martinez, M, Fernandez C, Castaneda, S, Gonzalez-Juanatey, C, Sanchez-Alonso, F, Gonzalez-Fernandez, M, Sanmarti, R, Garcia-Vadillo, J, Fernandez-Gutierrez, B, Garcia-Arias, M, Manero, F, Senabre, J, Rueda-Cid, A, Ros-Exposito, S, Pina-Salvador, J, Erra-Duran, A, Moller-Parera, I, Llorca, J, Gonzalez-Gay, M, Gonzalez de Rabago, E, Blanco Morales, E, Fernandez Lopez, J, Oreiro Villar, N, Atanes Sandoval, A, Blanco Garcia, F, Alegre De Miquel, C, Gonzalez Fernandez, M, Huguet Codina, R, Yoldi, B, Ramentol, M, Avila, G, Marsal Barril, S, Steiner, M, Munoz, S, Gamero, F, Garcia Toron, J, Moreno Gil, M, Mas, A, Espino, P, Ros, I, Ibanez, M, Murillo, C, Piqueras, J, Berman, H, Cabrera, S, Ruiz, V, Fontsere Paton, O, Fernandez Gutierrez, B, Abasolo, L, Fabregas, M, Romera Baures, M, Nolla, J, Gonzalez-Alvaro, I, Tomero Muriel, E, Garcia de Vicuna, R, Fernandez Nebro, A, Belmonte Lopez, M, Urena, I, Irigoyen, M, Coret Cagigal, V, Lopez Gonzalez, R, Pielfort Garrido, D, Sampedro Alvarez, J, Garcia Aparicio, A, Belmonte Gomez, R, Granados Bautista, P, Hernandez Sanz, A, Sanchez Gonzalez, C, Bachiller, J, Zea, A, Jimenez Zorzo, F, Gimenez Ubeda, E, Marzo Gracia, J, Beltran Audera, C, Medrano, M, Pecondon, A, Erausquin, C, Ojeda, S, Carlos Quevedo, J, Francisco, F, Rodriguez Lozano, C, Babio Herraez, J, Lopez Longo, F, Gerona, D, Gonzalez Fernandez, C, Carreno, L, Monteagudo, I, del Pino, J, Sanchez Gonzalez, M, Corrales, A, Enriqueta Peiro, M, Rosas, J, Rotes, I, Moreno, E, Erra, A, Grado, D, Calvo, J, Rueda, A, Moller, I, Rodriguez, I, Barbadillo, C, Raya, E, Morales, P, Nieto, A, Jimenez, I, Magro, C, Ruibal Escribano, A, Ros Exposito, S, Sanchez Nievas, G, Judez Navarro, E, Sianes Fernandez, M, Garcia Morales, M, Labiano Bastero, I, Consuegra, G, Palmou, N, Martinez Pardo, S, Pujol, M, Riera Alonso, E, Salvador, G, Gonzalez Alvarez, B, Cantabrana, A, Bustabad, S, Delgado, E, Munoz, A, Rodriguez Montero, S, Maria Jimenez, L, Rivera Redondo, J, Gonzalez Hernandez, T, Gonzalez Polo, F, Menor Almagro, R, Moreno, J, Giner Serret, E, Lannuzzelli Barroso, C, Cebrian Mendez, L, Teresa Navio, M, Fernandez Carballido, C, Pagan, E, Mesa del Castillo, P, Naredo, E, Cruz, A, Turrion, A, Mateo, I, Sanchez, J, Galindo, M, Garcia Gonzalez, J, Collantes, E, Ruiz, D, Font, P, Bonilla, G, Lopez Meseguer, A, Moreno, M, Moreno Martinez, M, Beteta Fernandez, M, Linares, L, Morcillo, M, Gonzalez Gomez, M, Aramburu, J, Rivera, N, Fernandez Berrizbeitia, O, Garcia Vivar, M, Riera, M, Maria Leon, Y, Maymo, J, Amirall, M, Iniesta Escolano, S, Sanchez Serrano, S, Lis Bona, M, Fiter, J, Fernandez Melon, J, Espadaler, L, Maiz, O, Belzunegui, J, Banegil, I, Diaz, C, Valls, R, Castellvi, I, Bonet, M, Moreno Ruzafa, E, Calvo Alen, J, Perez Sandoval, T, Revuelta Evrard, E, Godo, J, Fernandez Espartero, C, Navarro Blasco, F, Antonio Gonzalez, J, Miranda-Filloy, J, and CARMA Project Collaborative Grp

Subjects
musculoskeletal diseases, psoriatic arthritis, lipids, stomatognathic diseases, cardiovascular disease, lipoprotein(a), ankylosing spondylitis, spondyloarthritis
Abstract

Objective Cardiovascular (CV) disease is one of the main causes of morbi-mortality in spondyloarthritis (SpA), partially explained by traditional CV risk factors. Information on lipoprotein(a) [Lp(a)], a non-conventional risk factor, in SpA is scarce. In this study we assessed the prevalence of hyperlipoproteinaemia(a) in SpA patients and analysed the possible related factors. Methods A baseline analysis was made of ankylosing spondylitis (AS) and psoriatic arthritis (PsA) patients and controls included in the CARMA project (CARdiovascular in RheuMAtology), a 10-year prospective study evaluating the risk of CV events in chronic inflammatory rheumatic diseases. A multivariate logistic regression model was performed using hyperlipoproteinaemia( a) (Lp(a) >50 mg/dl) as a dependent variable and adjusting for confounding factors. Results 19.2% (95% CI: 16.80-22.05) of the SpA patients [20.7% (95% CI: 16.91-24.82) of those with AS and 17.7% (95% CI: 14.15-21.75) of those with PsA] and 16.7% (95% CI: 13.23-20.86) of the controls had hyperlipoproteinaemia(a) (p=0.326). Adjusting for age and sex, SpA patients were more likely to have hyperlipoproteinaemia(a) than controls (OR: 1.43, 95% CI: 1.00-2.04; p=0.05), especially those with AS (OR: 1.81, 95% CI: 1.18-2.77; p=0.007). In the adjusted model, apolipoprotein B in all patients, non-steroidal anti-inflammatory drugs in AS, and female sex in PsA, were associated with hyperlipoproteinaemia(a). No disease-specific factors associated with hyperlipoproteinaemia(a) were identified. Conclusion SpA patients show a moderately increased risk of hyperlipoproteinaemia(a) compared to controls, especially those with AS. Lp(a) determination may be of interest to improve the CV risk assessment in SpA patients.

Published
2019

39. Estabilización de la solución por elementos finitos de problemas de flujo incompresible con rotación, turbulencia, superficie libre y temperatura

Author

Soto, O. and Codina, R.

Subjects
Engineering, Civil, Engineering, Industrial, Engineering, Ocean, Engineering, Marine
Abstract

El principal objetivo del presente trabajo es el de plantear un método de solución por elementos finitos de las ecuaciones que rigen el flujo incompresible, tanto en su régimen laminar como turbulento. Adicionalmente se planteará un esquema para solucionar problemas que involucren el tratamiento de superficies libres y del flujo térmico. La solución a dichos problemas es la base para atacar diversos problemas de ingeniería que se presentan diariamente en la industria, tales como el llenado de moldes, el flujo en reactores químicos, el diseño de perfiles óptimos para ventiladores, barcos, etc. En este trabajo se presentan las ecuaciones que describen el comportamiento de un fluido incompresible en régimen laminar (ecuaciones de Navier-Stokes) y turbulento (ecuaciones de Reynolds), para luego plantear su solución por elementos finitos utilizando el método clásico o método de Galerkin.

Published
2018

40. Analysis of fractional step finite element methods for the incompressible Navier-Stokes equation

Author

Blasco, J., Codina, R., and Huerta, A.

Subjects
Physics::Fluid Dynamics, Engineering, Civil, Engineering, Industrial, Mathematics::Analysis of PDEs, Engineering, Ocean, Engineering, Marine
Abstract

This monograph is devoted to the study of fractional step, finite element methods for the numerical solution of incompressible, viscous flow equations, and in particular of the Navier-Stokes equations.

Published
2018

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