Zobrazeno 1 - 10
of 66
pro vyhledávání: '"Adler, James H."'
Machine learning techniques have recently been of great interest for solving differential equations. Training these models is classically a data-fitting task, but knowledge of the expression of the differential equation can be used to supplement the
Externí odkaz:
http://arxiv.org/abs/2407.18057
When developing robust preconditioners for multiphysics problems, fractional functions of the Laplace operator often arise and need to be inverted. Rational approximation in the uniform norm can be used to convert inverting those fractional operators
Externí odkaz:
http://arxiv.org/abs/2407.15775
Autor:
de la Riva, Álvaro Pé, Rodrigo, Carmen, Gaspar, Francisco J., Adler, James H., Hu, Xiaozhe, Zikatanov, Ludmil
In this work, a local Fourier analysis is presented to study the convergence of multigrid methods based on additive Schwarz smoothers. This analysis is presented as a general framework which allows us to study these smoothers for any type of discreti
Externí odkaz:
http://arxiv.org/abs/2310.09381
Anisotropic fluids, such as nematic liquid crystals, can form non-spherical equilibrium shapes known as tactoids. Predicting the shape of these structures as a function of material parameters is challenging and paradigmatic of a broader class of prob
Externí odkaz:
http://arxiv.org/abs/2310.04022
It is well known that via the augmented Lagrangian method, one can solve Stokes' system by solving the nearly incompressible linear elasticity equation. In this paper, we show that the converse holds, and approximate the inverse of the linear elastic
Externí odkaz:
http://arxiv.org/abs/2304.00103
Autor:
Joshi, Chaitanya, Goldstein, Daniel, Wennerholm, Cole, Downey, Eoghan, Hamilton, Emmett, Hocking, Samuel, Andrei, Anca, Adler, James H., Atherton, Timothy J.
An emerging theme across many domains of science and engineering is materials that change shape, often dramatically. Determining their structure involves solving a shape optimization problem where a given energy functional is minimized with respect t
Externí odkaz:
http://arxiv.org/abs/2208.07859
Convection-diffusion equations arise in a variety of applications such as particle transport, electromagnetics, and magnetohydrodynamics. Simulation of the convection-dominated regime for these problems, even with high-fidelity techniques, is particu
Externí odkaz:
http://arxiv.org/abs/2208.04169
We present a new enriched Galerkin (EG) scheme for the Stokes equations based on piecewise linear elements for the velocity unknowns and piecewise constant elements for the pressure. The proposed EG method augments the conforming piecewise linear spa
Externí odkaz:
http://arxiv.org/abs/2110.05310
Advanced finite-element discretizations and preconditioners for models of poroelasticity have attracted significant attention in recent years. The equations of poroelasticity offer significant challenges in both areas, due to the potentially strong c
Externí odkaz:
http://arxiv.org/abs/2107.04060
Autor:
Pé de la Riva, Álvaro, Rodrigo, Carmen, Gaspar, Francisco J., Adler, James H., Hu, Xiaozhe, Zikatanov, Ludmil
Publikováno v:
In Computers and Mathematics with Applications 15 March 2024 158:13-20
