Results 21 to 30 of about 121,135,969 (308)
A priori error analysis of virtual element method for contact problem
Fixed Point Theory and Algorithms for Sciences and Engineering, 2022 As an extension of the finite element method, the virtual element method (VEM) can handle very general polygonal meshes, making it very suitable for non-matching meshes. In (Wriggers et al. in Comput. Mech.
Fei Wang, B. Daya Reddy
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Numerical resolution of the wave equation using the spectral method
Boundary Value Problems, 2022 We present a new procedure for the numerical study of the wave equation. We use the spectral discretization method associated with the Euler scheme for spatial and temporal discretization. A detailed numerical analysis leads to an a priori error estimate.
Mohamed Abdelwahed, Nejmeddine Chorfi
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A priori estimates for complex Hessian equations [PDF]
Analysis & PDE, 2014 We prove some $L^{\infty}$ a priori estimates as well as existence and stability theorems for the weak solutions of the complex Hessian equations in domains of $C^n$ and on compact Kähler manifolds. We also show optimal $L^p$ integrability for m-subharmonic functions with compact singularities, thus partially confirming a conjecture of Blocki.
Dinew, Sławomir, Kołodziej, Sławomir
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k-Hessian curvature type equations in space forms
Electronic Journal of Differential Equations, 2022 In this article, we study closed star-shaped (eta, k)-convex hypersurfaces in space forms satisfying a class of k-Hessian curvature type equations. Firstly, using the maximum principle, we obtain a priori estimates for the class of Hessian curvature ...
Jundong Zhou
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The Inaccuracy of Sample-Based Confidence Intervals to Estimate A Priori Ones
Methodology, 2020 Confidence intervals (CIs) constitute the most popular alternative to widely criticized null hypothesis significance tests. CIs provide more information than significance tests and lend themselves well to visual displays.
David Trafimow, Joshua Uhalt
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Moving Singular Points and the Van der Pol Equation, as Well as the Uniqueness of Its Solution
Mathematics, 2023 The article considers the Van der Pol equation nonlinearity aspect related to a moving singular point. The fact of the existence of moving singular points and the uniqueness of their solution for complex domains have been proved.
Victor Orlov
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Weighted a priori estimates for the Poisson equation [PDF]
Indiana University Mathematics Journal, 2008 and let u be a solution of the classical Poisson problem in Ω; i.e., -Δu = f in Ω, u = 0 on ∂Ω, where f ∈ L ρ ω (Ω) and ω is a weight in Ap. The main goal of this paper is to prove the following a priori estimate ∥u∥W 2,p ω (Ω)≤C∥f∥L p ω (Ω), and to give some applications for weights given by powers of the distance to the boundary.
Durán, Ricardo Guillermo +2 more
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A PRIORI ESTIMATE FOR AN EQUATION WITH FRACTIONAL DERIVATIVES WITH DIFFERENT ORIGINS [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019 We consider an ordinary differential equation of fractional order with the composition of leftand right-sided fractional derivatives, and with variable potential. The considered equation is a model equation of motion in fractal media.
L. M. Eneeva
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A Priori Estimates or Elliptic Systems
Zeitschrift für Analysis und ihre Anwendungen, 1987 A priori estimates for the general complex Beltrami equation in connection with Riemann–Hilbert boundary conditions are developed, which can be used for existence as well as uniqueness statements for related nonlinear problems. For this reason the equation together with the boundary conditions are transformed into the canonical form and essentially a ...
Begehr, H., Hsiao, G. C.
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A Priori Estimate for the Complex Monge–Ampère Equation [PDF]
Peking Mathematical Journal, 2020 In this paper, we prove a Moser-Trudinger type inequality for pluri-subharmonic functions vanishing on the boundary. Our proof uses a descent gradient flow for the complex Monge-Ampere functional.
Wang, Jiaxiang, Wang, Xu-Jia, Zhou, Bin
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