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

Autor:	Abimael F. D. Loula, Luigi Quartapelle, Jiang Zhu, Jean-Luc Guermond
Rok vydání:	2003
Předmět:	Curl (mathematics) Applied Mathematics Modeling and Simulation Mathematical analysis Scalar (mathematics) Free boundary problem Boundary value problem Mixed boundary condition Weak formulation Elliptic boundary value problem Vector potential Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. 13:1725-1743
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202503003094
Popis:	In this work, we consider the three-dimensional vector Poisson-like equation supplemented by a nonstandard set of three scalar boundary conditions consisting of the simultaneous specification of the divergence of the unknown, its normal component, and the normal component of its curl on the entire boundary. A weak formulation of this elliptic boundary value problem is proposed. Existence and uniqueness of a solution are established under two compatibility conditions. An uncoupled solution algorithm is introduced together with its finite element approximation. The corresponding error analysis is performed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fefe92c255ab086d41eb7b8a25204fa5 https://doi.org/10.1142/s0218202503003094 Zobrazit plný text záznamu