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Lowest-degree robust finite element schemes for inhomogeneous bi-Laplace problems

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Publication:6577618
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DOI10.1016/j.apnum.2024.05.010zbMath1543.65183MaRDI QIDQ6577618

Bin Dai, Huilan Zeng, Shuo Zhang, Chen-Song Zhang

Publication date: 24 July 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)



zbMATH Keywords

singular perturbation problemrectangular gridsHelmholtz transmission eigenvalue problemrobust optimal quadratic element


Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)








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