Results 51 to 60 of about 18,549 (299)
A boundary estimate for nonlinear equations with discontinuous coefficients
Differential and Integral Equations, 2001 This paper considers the following \(p\)-Laplacian type equation: \(\text{div} \bigl((ADu \cdot Du) ^{(p-2)/2}ADu\bigr) = \text{div} \bigl(| F| ^{p-2} F\bigr)\), where \(A\) is a symmetric \(n\times n\) matrix with measurable coefficients satisfying a uniform ellipticity condition and with ``vanishing mean oscillation'' (VMO), and \(F\) is \(q ...
Kinnunen, Juha, Zhou, Shulin
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Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients [PDF]
Journal of Scientific Computing, 2019 For practical applications, the long time behaviour of the error of numerical solutions to time-dependent partial differential equations is very important. Here, we investigate this topic in the context of hyperbolic conservation laws and flux reconstruction schemes, focusing on the schemes in the discontinuous Galerkin spectral element framework.
Philipp Öffner, Hendrik Ranocha
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Advanced Engineering Materials, EarlyView.We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang +2 more
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Non-classic 3D Goursat Problem for One Hyperbolic Equation with Discontinuous Coefficients
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2010 For a differential equation of hyperbolic type with discontinuous coefficients a 3D Goursat problem with nonclassical boundary conditions is considered, which requires no matching conditions.
I. G. Mamedov
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Advanced Engineering Materials, EarlyView.A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
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A gradient estimate for solutions to parabolic equations with discontinuous coefficients
Electronic Journal of Differential Equations, 2013 Li-Vogelius and Li-Nirenberg gave a gradient estimate for solutions of strongly elliptic equations and systems of divergence forms with piecewise smooth coefficients, respectively.
Jishan Fan +3 more
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Optimization of the Production of Rubber Compounds Using Mathematical Models
Advanced Engineering Materials, EarlyView.Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle +7 more
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Existence and uniqueness for a two-point interface boundary value problem
Electronic Journal of Differential Equations, 2013 We obtain sufficient conditions, easily verifiable, for the existence and uniqueness of piecewise smooth solutions of a linear two-point boundary-value problem with general interface conditions.
Rakhim Aitbayev
doaj
Analysis and Evaluation of the Progressive Collapse of Cable Dome Structures Induced by Joint Damage
Buildings, 2023 The current literature lacks an effective progressive collapse analysis of a cable dome structure induced by joint damage. In this study, a dynamic analysis was performed using actual construction cases, an ANSYS LS-DYNA analysis platform, and a fully ...
Lian-Meng Chen +7 more
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Cathodic Cage Plasma Deposition of Nanostructured Cu–Fe–Se Coatings on Poly(methyl Methacrylate)
Advanced Engineering Materials, EarlyView.Nanostructured Cu–Fe–Se coatings are deposited on PMMA by a modified cathodic cage plasma process, enabling low‐temperature deposition on polymer substrates. A transition from discontinuous to compact morphology is observed with temperature, with optimal properties at 200°C, where improved CuFeSe2‐type bonding, lowest sheet resistance, and favorable ...
V. S. S. Sobrinho +8 more
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