Integrantes: L. Bessone, J.P. Borthagaray, M. González
Temas de investigación en Métodos Numéricos:
- Mecánica de fluidos computacional: modelos de volúmenes finitos para el tratamiento de fondos móviles erosionables.
- Cálculo en paralelo en Placas de Procesamiento Gráfico paralelo con propósitos generales (GPGPU).
- Ecuaciones en derivadas parciales no lineales.
- Métodos de elementos finitos para operadores no locales.
- Deep Learning aplicado al Procesamiento de Imágenes.
Publicaciones:
F.M. Bersetche, J.P. Borthagaray. Finite element approximation of fractional Neumann problems. IMA Journal of Numerical Analysis, drab064.
J.P. Borthagaray, D. Leykekhman, R.H. Nochetto. Local energy estimates for the fractional Laplacian. SIAM Journal on Numerical Analysis, 59(4):1918–1947, 2021.
J.P. Borthagaray, W. Li, R.H. Nochetto. Linear and nonlinear fractional elliptic problems. In 75 Years of Mathematics of Computation, Contemporary Mathematics, 754:69-92. American Mathematical Society, Providence, 2020.
J.P. Borthagaray, S.W. Walker. The Q-tensor Model with Uniaxial Constraint. Handbook of Numerical Analysis, 22:313–382, 2021.
M. Gonzalez, A. Almansa, P. Tan, Solving Inverse Problems by Joint Posterior Maximization with Autoencoding Prior. SIAM Journal on Imaging Sciences (accepted), 2022.
J.P. Borthagaray, R.H. Nochetto, S.W. Walker. A structure-preserving FEM for the uniaxially constrained Q-tensor model of nematic liquid crystals. Numerische Mathematik, 145(4):837-881, 2020.
J.P. Borthagaray, R.H. Nochetto, A.J Salgado. Weighted Sobolev regularity and rate of approximation of the obstacle problem for the integral fractional Laplacian. Mathematical Models and Methods in Applied Sciences, 29(14):2679–2717, 2019.
M. González, J. Preciozzi, P. Musé, A. Almansa, Joint denoising and decompression using CNN regularization, IEEE Conference on Computer Vision and Pattern Recognition Workshops, p. 2598-2601, 2018.
J. Preciozzi, M. González, A. Almansa, P. Musé, Joint denoising and decompression: A patch-based Bayesian approach, IEEE International Conference on Image Processing, p. 1252-1256, (2017).