Results 101 to 110 of about 83,130 (282)
On closability of classical Dirichlet forms
Journal of Functional Analysis, 2004 Let \(H\) be a Hilbert space, \(D({\mathcal E})\) a linear subspace of \(H\) and \({\mathcal E}:D({\mathcal E})\times D({\mathcal E})\to \mathbb R\) a nonnegative symmetric bilinear form. The form is closable if \(u_n\in D({\mathcal E})\), with \(u_n\to0\) in \(H\) and \({\mathcal E}(u_n-u_m,u_n-u_m)\to0\) implies that \({\mathcal E}(u_n,u_n)\to0 ...
openaire +2 more sources
International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
wiley +1 more source
Numerical schemes for general Klein–Gordon equations with Dirichlet and nonlocal boundary conditions
Nonlinear Analysis, 2018 In this work, we address the problem of solving nonlinear general Klein–Gordon equations (nlKGEs). Different fourth- and sixth-order, stable explicit and implicit, finite difference schemes are derived.
Jesús Martín-Vaquero +4 more
doaj +1 more source
International Journal for Numerical Methods in Fluids, EarlyView.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
Coupled Clustering in Hierarchical Matrices for the Oseen Problem
International Journal for Numerical Methods in Fluids, EarlyView.Fluid flow problems can be modelled by the Navier‐Stokes or, after linearization, by the Oseen equations. Their discretization results in linear systems in saddle point form which are typically very large and need to be solved iteratively. We propose a novel block structure for hierarchical matrices which is then used to build preconditioners for the ...
Jonas Grams, Sabine Le Borne
wiley +1 more source
Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
wiley +1 more source
Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications
Journal of Inequalities and ApplicationsIn the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms F 2 n + 1 ( ϵ ) $\mathbb{F}^{2n+1}(\epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean
Fatemah Abdullah Alghamdi +2 more
doaj +1 more source
Facial expression recognition for emotion perception: A comprehensive science mapping
Ibrain, EarlyView.Facial expression recognition (FER) has emerged as a pivotal interdisciplinary research domain, bridging computer science, psychology, neuroscience, and medicine. By mapping the FER scientific knowledge graph, the study aimed to explore the technological evolution and forecast future application trends in this field.
Hou‐Ming Kan +10 more
wiley +1 more source
On the spectral problem for three-dimesional bi-Laplacian in the unit sphere
Қарағанды университетінің хабаршысы. Математика сериясыIn this work, we introduce a new concept of the stream function and derive the equation for the stream function in the three-dimensional case. To construct a basis in the space of solutions of the NavierStokes system, we solve an auxiliary spectral ...
М.Т. Дженалиев +1 more
doaj +1 more source
Composite Media and Asymptotic Dirichlet Forms
Journal of Functional Analysis, 1994 A metric topology on the space of Dirichlet forms is introduced. Compactness and closure properties of families of local and non-local forms are studied.
openaire +1 more source