P1$$ {P}_1 $$–Nonconforming quadrilateral finite element space with periodic boundary conditions: Part I. Fundamental results on dimensions, bases, solvers, and error analysis

DOI10.1002/num.23023arXiv2201.10658MaRDI QIDQ6088173

Jaeryun Yim, Dongwoo Sheen

Publication date: 13 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10658

zbMATH Keywords

finite element methodperiodic boundary conditionnonconforming

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Iterative numerical methods for linear systems (65F10) Numerical methods for low-rank matrix approximation; matrix compression (65F55)

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