Results 41 to 50 of about 21,785,520 (294)

$L^{2,Phi}$ regularity for nonlinear elliptic systems of second order

open access: yesElectronic Journal of Differential Equations, 2002
This paper is concerned with the regularity of the gradient of the weak solutions to nonlinear elliptic systems with linear main parts. It demonstrates the connection between the regularity of the (generally discontinuous) coefficients of the linear ...
Josef Danecek, Eugen Viszus
doaj  

Novel numerical method based on cubic B-splines for a class of nonlinear generalized telegraph equations in irregular domains

open access: yesAlexandria Engineering Journal, 2020
In this work, a cubic B-spline method based on finite difference and meshless approaches for solving 2D generalized telegraph equations in irregular single and multi-connected domains is presented.
Sergiy Reutskiy   +3 more
doaj   +1 more source

A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]

open access: yes, 2008
This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
core   +1 more source

High‐Resolution Corrosion Fingerprinting of Alloy Libraries via Microdroplet Spectroelectrochemistry

open access: yesAdvanced Engineering Materials, EarlyView.
Ionic‐liquid microdroplet spectroelectrochemistry enables stable, localized electrochemical measurements over extended timescales. By coupling impedance spectroscopy, wetting analysis, finite‐element simulations, and operando Raman spectroscopy, it disentangles geometrical and electrochemical effects, opening new opportunities for rapid corrosion ...
Ekaterina Kurchavova   +3 more
wiley   +1 more source

On nonnegative entire solutions of second-order semilinear elliptic systems

open access: yesElectronic Journal of Differential Equations, 2003
We consider the second-order semilinear elliptic system $$ Delta u_i=P_i(x)u_{i+1}^{alpha_i}quadhbox{in }mathbb{R}^N, quad i=1,2,dots,m $$ with nonnegative continuous functions $P_i$.
Tomomitsu Teramoto
doaj  

Solution of the Elliptic Interface Problem by a Hybrid Mixed Finite Element Method

open access: yesMathematics
This paper addresses the elliptic interface problem involving jump conditions across the interface. We propose a hybrid mixed finite element method on the triangulation where the interfaces are aligned with the mesh. The second-order elliptic equation is
Yuhan Wang   +3 more
doaj   +1 more source

Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]

open access: yes, 2011
Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian   +1 more
core   +1 more source

Integration of OpenCV‐Based Microscopic Adhesive Volume Measurement Into a Pyiron Workflow for Automated Data Analysis

open access: yesAdvanced Engineering Materials, EarlyView.
Residual adhesive after electrode loading in adhesive‐assisted resistance spot welding is quantified through a traceable experimental‐to‐digital workflow. Chromatic confocal topography provides calibrated surface‐height data, while OpenCV detects the electrode imprint and integrates adhesive height into comparable volume metrics.
Sung‐Min Wi, Jiangdong Zhao
wiley   +1 more source

Structure Theory for Second Order 2D Superintegrable Systems with 1-Parameter Potentials [PDF]

open access: yes, 2009
The structure theory for the quadratic algebra generated by first and second order constants of the motion for 2D second order superintegrable systems with nondegenerate (3-parameter) and or 2-parameter potentials is well understood, but the results for ...
Willard Miller Jr.   +7 more
core   +2 more sources

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