3D VECTOR POISSON-LIKE PROBLEM WITH A TRIPLET OF INTRINSIC SCALAR BOUNDARY CONDITIONS

DOI10.1142/S0218202503003094zbMath1062.35145MaRDI QIDQ4822379

Jiang Zhu, Abimael Fernando Dourado Loula, Luigi Quartapelle, Jean-Luc Guermond

Publication date: 25 October 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

existencefinite elementsuniquenesserror analysiselliptic problemPoisson-like equation

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Electro- and magnetostatics (78A30)

Related Items (1)

Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media

Cites Work

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• The finite element method with Lagrangian multipliers
• Finite Element Methods for Navier-Stokes Equations
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• Numerical Methods for the First Biharmonic Equation and for the Two-Dimensional Stokes Problem
• Vector potentials in three-dimensional non-smooth domains
• On a 2D vector Poisson problem with apparently mutually exclusive scalar boundary conditions

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