Search Results - "Abner, J J"

A PDE Approach to Fractional Diffusion in General Domains: A Priori Error Analysis by Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

“…The purpose of this work is to study solution techniques for problems involving fractional powers of symmetric coercive elliptic operators in a bounded domain…”
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Preconditioned steepest descent methods for some nonlinear elliptic equations involving p-Laplacian terms by Feng, Wenqiang, Salgado, Abner J., Wang, Cheng, Wise, Steven M.

“…We describe and analyze preconditioned steepest descent (PSD) solvers for fourth and sixth-order nonlinear elliptic equations that include p-Laplacian terms on…”
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Numerical methods for fractional diffusion by Bonito, Andrea, Borthagaray, Juan Pablo, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

“…We present three schemes for the numerical approximation of fractional diffusion, which build on different definitions of such a non-local process. The first…”
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Two-scale methods for the normalized infinity Laplacian: rates of convergence by Li, Wenbo, Salgado, Abner J

“…Abstract We propose a monotone and consistent numerical scheme for the approximation of the Dirichlet problem for the normalized infinity Laplacian, which…”
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Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes by Jea-Hyun Park, Jea-Hyun Park, Abner J. Salgado, Abner J. Salgado, Steven M. Wise, Steven M. Wise

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A posteriori error estimates for the Stokes problem with singular sources by Allendes, Alejandro, Otárola, Enrique, Salgado, Abner J.

“…We propose a posteriori error estimators for classical low-order inf–sup stable and stabilized finite element approximations of the Stokes problem with…”
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Optimization with Respect to Order in a Fractional Diffusion Model: Analysis, Approximation and Algorithmic Aspects by Antil, Harbir, Otárola, Enrique, Salgado, Abner J.

“…We consider an identification (inverse) problem, where the state u is governed by a fractional elliptic equation and the unknown variable corresponds to the…”
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On the analysis and approximation of some models of fluids over weighted spaces on convex polyhedra by Otárola, Enrique, Salgado, Abner J.

“…We study the Stokes problem over convex polyhedral domains on weighted Sobolev spaces. The weight is assumed to belong to the Muckenhoupt class A q for q ∈ ( 1…”
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Numerical approximation of variational problems with orthotropic growth by Kh. Balci, Anna, Diening, Lars, Salgado, Abner J.

“…We consider the numerical approximation of variational problems with orthotropic growth, that is those where the integrand depends strongly on the coordinate…”
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Tensor FEM for Spectral Fractional Diffusion by Banjai, Lehel, Melenk, Jens M., Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J., Schwab, Christoph

“…We design and analyze several finite element methods (FEMs) applied to the Caffarelli–Silvestre extension that localizes the fractional powers of symmetric,…”
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On the Optimal Control of a Linear Peridynamics Model by Mengesha, Tadele, Salgado, Abner J., Siktar, Joshua M.

“…We study a non-local optimal control problem involving a linear, bond-based peridynamics model. In addition to existence and uniqueness of solutions to our…”
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Co-infection by Toxoplasma gondii and Neospora caninum in Goats Reared in Extensive System of Mexico by Montiel-González, Gerardo, Franco-Robles, Elena, García-Munguía, Carlos A, Valencia-Posadas, Mauricio, Martínez-Jaime, Oscar A, López-Briones, Sergio, Gutiérrez-Chávez, Abner J

“…The aim of the present study was to describe the presence of co-infection by and in goats reared in extensive systems from Mexico. A cross-sectional study was…”
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Preconditioned Accelerated Gradient Descent Methods for Locally Lipschitz Smooth Objectives with Applications to the Solution of Nonlinear PDEs by Park, Jea-Hyun, Salgado, Abner J., Wise, Steven M.

“…We develop a theoretical foundation for the application of Nesterov’s accelerated gradient descent method (AGD) to the approximation of solutions of a wide…”
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Convergence Analysis of Fractional Time-Stepping Techniques for Incompressible Fluids with Microstructure by Salgado, Abner J.

“…We present and analyze fully discrete fractional time stepping techniques for the solution of the micropolar Navier Stokes equations, which is a system of…”
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Adaptive finite element methods for an optimal control problem involving Dirac measures by Allendes, Alejandro, Otárola, Enrique, Rankin, Richard, Salgado, Abner J.

“…The purpose of this work is the design and analysis of a reliable and efficient a posteriori error estimator for the so-called pointwise tracking optimal…”
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Multilevel methods for nonuniformly elliptic operators and fractional diffusion by Chen, Long, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

“…We develop and analyze multilevel methods for nonuniformly elliptic operators whose ellipticity holds in a weighted Sobolev space with an A_2-Muckenhoupt…”
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A PDE approach to fractional diffusion: A posteriori error analysis by Chen, Long, Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

“…We derive a computable a posteriori error estimator for the [alpha]-harmonic extension problem, which localizes the fractional powers of elliptic operators…”
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Genetic parameters for reproductive traits and somatic cell score in U.S. dairy goats by Aguirre-Arroyo, Estefania, Castañeda-Bustos, Vielka J., Lechuga-Arana, Alma A., Gutiérrez-Chávez, Abner J., Ángel-Sahagún, César A., Hernández-Marín, José A., Valencia-Posadas, Mauricio

“…There are no studies regarding the estimation of genetic parameters and genetic trends for reproductive traits and somatic cells in goats. Their knowledge…”
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Convergence rates for the classical, thin and fractional elliptic obstacle problems by Nochetto, Ricardo H., Otárola, Enrique, Salgado, Abner J.

“…We review the finite-element approximation of the classical obstacle problem in energy and max-norms and derive error estimates for both the solution and the…”
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Hyperadrenergic Postural Tachycardia Syndrome: Clinical Biomarkers and Response to Guanfacine by Okamoto, L E, Urechie, V, Rigo, S, Abner, J J, Giesecke, M, Muldowney, J A S, Furlan, R, Shibao, C A, Shirey-Rice, J K, Pulley, J M, Diedrich, A, Biaggioni, Italo

“…A subset of patients with postural tachycardia syndrome (POTS) are thought to have a primary hyperadrenergic cause. We assessed clinical biomarkers to identify…”
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