https://www.usgs.gov/publications/a-galerkin-finite-element-analysis-steady-state-flow-and-heat-transport-shallow
A steady-state simulation model was applied to the shallow hydrothermal system in the East Mesa area of Imperial Valley, Calif. The steady-state equations of...
finite element analysissteady stategalerkinflow
https://deepai.org/publication/discontinuous-galerkin-method-for-a-distributed-optimal-control-problem-governed-by-a-time-fractional-diffusion-equation
03/23/20 - This paper is devoted to the numerical analysis of a control constrained distributed optimal control problem subject to a time fra...
discontinuous galerkin methodoptimal control problemdistributedgoverned
https://scirp.org/journal/paperinformation?paperid=57217
Discover the importance of the upwind scheme in numerical approximation for convection dominated and two-phase flow problems. Explore the PDG method combined...
upwind schemevelocityprojectionbaseddiscontinuous
https://www.arxiv.org/abs/2601.09450
Abstract page for arXiv paper 2601.09450: A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the...
new classentropystablefluctuations
https://deepai.org/publication/a-stochastic-galerkin-method-with-adaptive-time-stepping-for-the-navier-stokes-equations
07/10/22 - We study the time-dependent Navier-Stokes equations in the context of stochastic finite element discretizations. Specifically, we ...
galerkin methodtime steppingstochasticadaptive
https://deepai.org/publication/a-new-stability-and-convergence-proof-of-the-fourier-galerkin-spectral-method-for-the-spatially-homogeneous-boltzmann-equation
07/10/20 - Numerical approximation of the Boltzmann equation is a challenging problem due to its high-dimensional, nonlocal, and nonlinear co...
newstabilityconvergenceprooffourier
https://deepai.org/publication/stochastic-galerkin-methods-for-linear-stability-analysis-of-systems-with-parametric-uncertainty
02/25/22 - We present a method for linear stability analysis of systems with parametric uncertainty formulated in the stochastic Galerkin fra...
galerkin methodslinear stabilitystochasticanalysissystems