Publications associées à Équations de Maxwell

Small-argument analytical expressions for the calculation of the ground-return impedance and admittance of underground cables

Rafael Silva Alipio

This paper proposes small-argument approximations for two closed-form equations that were recently derived for the calculation of the ground-return impedance and admittance of underground cables. The proposed expressions are shown to be accurate up to 1 MH ...

ELSEVIER SCIENCE SA2023

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Hoài-Minh Nguyên, Jean Louis-Alexandre Fornerod

The transmission eigenvalue problem is a system of two second-order elliptic equations of two unknowns equipped with the Cauchy data on the boundary. In this work, we establish the Weyl law for the eigenvalues and the completeness of the generalized eigenf ...

Philadelphia2023

Dynamically Orthogonal Approximation for Stochastic Differential Equations

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In this paper, we set the mathematical foundations of the Dynamical Low Rank Approximation (DLRA) method for high-dimensional stochastic differential equations. DLRA aims at approximating the solution as a linear combination of a small number of basis vect ...

2023

Mesh d-refinement An efficient data-driven computational framework

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Model-free data-driven computational mechanics (DDCM) is a new paradigm for simulations in solid mechanics. As in traditional approaches, the boundary-value problem is formulated with physics-based PDEs, such as the balance of momentum and compatibility eq ...

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Surface Charge Boundary Condition Often Misused in CO2 Reduction Models

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The Poisson-Nernst-Planck equations have been used to model species transport in electrochemical CO2 reduction, where the surface charge boundary condition accounts for the potential drop across the Stern layer. A direct comparison of the published models ...

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Analysis of Non-Canonical Body-Conformal Arrays with Polarization Decomposition

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MaxwellNet: Physics-driven deep neural network training based on Maxwell's equations

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Maxwell's equations govern light propagation and its interaction with matter. Therefore, the solution of Maxwell's equations using computational electromagnetic simulations plays a critical role in understanding light-matter interaction and designing optic ...

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Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

Bernard Kapidani, Rafael Vazquez Hernandez

When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objects. In such cases mortaring has been shown to be advantageous. This contribu ...

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Équations de Maxwell

Small-argument analytical expressions for the calculation of the ground-return impedance and admittance of underground cables

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Hints of the Photonic Nature of the Electromagnetic Fields in Classical Electrodynamics

Mesh d-refinement An efficient data-driven computational framework

Surface Charge Boundary Condition Often Misused in CO2 Reduction Models

Analysis of Non-Canonical Body-Conformal Arrays with Polarization Decomposition

MaxwellNet: Physics-driven deep neural network training based on Maxwell's equations

Scrutinizing thermally stimulated current transients originating from trapped charges in organic semiconductors: A drift-diffusion study

Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

Graph Chatbot

Chattez avec Graph Search

Small-argument analytical expressions for the calculation of the ground-return impedance and admittance of underground cables

Surface Charge Boundary Condition Often Misused in CO2 Reduction Models

Analysis of Non-Canonical Body-Conformal Arrays with Polarization Decomposition

Dynamically Orthogonal Approximation for Stochastic Differential Equations

Hints of the Photonic Nature of the Electromagnetic Fields in Classical Electrodynamics

THE WEYL LAW OF TRANSMISSION EIGENVALUES AND THE COMPLETENESS OF GENERALIZED TRANSMISSION EIGENFUNCTIONS WITHOUT COMPLEMENTING CONDITIONS

Tree-cotree decomposition of isogeometric mortared spaces in H(curl) on multi-patch domains

Mesh d-refinement An efficient data-driven computational framework

Scrutinizing thermally stimulated current transients originating from trapped charges in organic semiconductors: A drift-diffusion study

MaxwellNet: Physics-driven deep neural network training based on Maxwell's equations