Numerical Verification for Elliptic Boundary Value Problem with Nonconforming $$\mathcal {P}_1$$ Finite Elements

DOI10.1007/978-3-319-31769-4_22zbMath1354.65256OpenAlexW2465346197MaRDI QIDQ2803609

Tomoki Uda

Publication date: 2 May 2016

Published in: Scientific Computing, Computer Arithmetic, and Validated Numerics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31769-4_22

zbMATH Keywords

numerical verificationelliptic boundary value problemNakao's methodnonconforming \(\mathcal{P}_1\) finite element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• A locking-free nonconforming finite element method for planar linear elasticity
• A numerical approach to the proof of existence of solutions for elliptic problems
• Polynomial Approximation of Functions in Sobolev Spaces
• On Locking and Robustness in the Finite Element Method

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