Results 131 to 140 of about 95,793 (250)

Efficient Numerical Framework for Geothermal Energy Production Optimization in Fracture‐Controlled Reservoirs

open access: yesInternational Journal for Numerical Methods in Fluids, Volume 98, Issue 6, Page 709-730, June 2026.
We introduce an efficient open‐source numerical framework for the automated search for the placements of injection and production wells in hot fracture‐controlled reservoirs that sustainably optimize geothermal energy production. We model the reservoirs as discrete fracture networks in 3D. The fluid flow and heat transport in the reservoirs are modeled
Ondřej Pártl, Ernesto Meneses Rioseco
wiley   +1 more source

Existence of bounded solutions of Neumann problem for a nonlinear degenerate elliptic equation

open access: yesElectronic Journal of Differential Equations, 2017
We prove the existence of bounded solutions of Neumann problem for nonlinear degenerate elliptic equations of second order in divergence form. We also study some properties as the Phragmen-Lindelof property and the asymptotic behavior of the solutions
Salvatore Bonafede
doaj  

Building a Digital Twin for Material Testing: Model Reduction and Data Assimilation

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The rapid advancement of industrial technologies, data collection, and handling methods has paved the way for the widespread adoption of digital twins (DTs) in engineering, enabling seamless integration between physical systems and their virtual counterparts.
Rubén Aylwin   +5 more
wiley   +1 more source

Infinite multiplicity of positive solutions for singular nonlinear elliptic equations with convection term and related supercritical problems

open access: yesElectronic Journal of Differential Equations, 2009
In this article, we consider the singular nonlinear elliptic problem $$displaylines{ -Delta u = g(u)+h( abla u)+f(u) quadhbox{in }Omega, cr u = 0 quadhbox{on }partialOmega.
Carlos C. Aranda
doaj  

Nonlinear elliptic boundary value problems. II [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
openaire   +1 more source

On some nonlinear elliptic problems

open access: yes, 2016
Cette thèse comporte deux problèmes elliptiques non linéaires présentant une structure variationnelle.Dans le premier, on étudie un problème de type courbure scalaire dans un domaine borné et régulier de $R^3$ : (P) -∆u = K u^5 dans Ω; u= 0 sur ∂ΩPerturbant le problème initial par un problème sous-critique $ (P_\epsilon) $ et en combinant l'analyse de ...
openaire   +1 more source

On the Performance and Convergence of PINNs for Problems in Linear Elasticity

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT Physics‐informed neural networks (PINNs) have emerged as a promising approach for solving partial differential equations by embedding physical laws directly into the loss function. However, their performance characteristics for problems in computational mechanics remain insufficiently understood.
Dipraj Kadlag   +3 more
wiley   +1 more source

On MAP Estimates and Source Conditions for Drift Identification in SDEs

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT We consider the inverse problem of identifying the drift in an stochastic differential equation (SDE) from n$n$ observations of its solution at M+1$M+1$ distinct time points. We derive a corresponding maximum a posteriori (MAP) estimate, we prove differentiability properties as well as a so‐called tangential cone condition for the forward ...
Daniel Tenbrinck   +3 more
wiley   +1 more source

Simultaneous Inversion for Underactuated Mechanical Systems with Servo‐Constraints

open access: yesProceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The dynamic inversion of underactuated mechanical systems can be formulated in the servo‐constraint framework using a set of differential‐algebraic equations (DAEs). In case of a high differentiation index, the inversion‐based feedforward control design poses significant challenges.
Tengman Wang
wiley   +1 more source

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