Two-scale sparse finite element approximations

DOI10.1007/s11425-015-5064-7zbMath1338.65235OpenAlexW1202872501MaRDI QIDQ294514

Jinwei Zhu, Fang Liu

Publication date: 16 June 2016

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-015-5064-7

zbMATH Keywords

discretizationeigenvaluefinite elementpostprocessingcombinationtwo-scale

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Cites Work

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• The combination technique and some generalisations
• Three-scale finite element eigenvalue discretizations
• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• On the multi-level splitting of finite element spaces
• The full approximation accuracy for the stream function-vorticity- pressure method
• Elliptic partial differential equations of second order
• d-Variate Boolean interpolation
• Extrapolation, combination, and sparse grid techniques for elliptic boundary value problems
• Error analysis of the combination technique
• Refinable functions on the Heisenberg group
• Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions
• Postprocessed Two-Scale Finite Element Discretizations, Part I
• On theh- andp-Versions of the Extrapolated Gordon’s Projector with Applications to Elliptic Equations
• Convergence of the Combination Technique for Second-Order Elliptic Differential Equations
• The SDFEM for a Convection-Diffusion Problem with a Boundary Layer: Optimal Error Analysis and Enhancement of Accuracy
• The Splitting Extrapolation Method
• Local and parallel finite element algorithms based on two-grid discretizations
• Sparse grids
• The Mathematical Theory of Finite Element Methods
• Two‐Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind
• On the computation of the eigenproblems of hydrogen and helium in strong magnetic and electric fields with the sparse grid combination technique
• A sparse finite element method with high accuracy. I

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