The partition of unity finite element method: basic theory and applications

DOI10.1016/S0045-7825(96)01087-0zbMath0881.65099OpenAlexW2092011174MaRDI QIDQ1371800

Ivo M. Babuška, Jens Markus Melenk

Publication date: 13 November 1997

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01087-0

zbMATH Keywords

partition of unity finite element methodeffective and robust methods

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

• The \(p\)-version of the finite element method for the elliptic boundary value problems with interfaces
• The method of auxiliary mapping for the finite element solutions of elasticity problems containing singularities
• Operator adapted spectral element methods. I: Harmonic and generalized harmonic polynomials
• A generalized finite element method for solving the Helmholtz equation in two dimensions with minimal pollution
• Integral Operators in the Theory of Linear Partial Differential Equations
• Special Finite Element Methods for a Class of Second Order Elliptic Problems with Rough Coefficients
• THE PARTITION OF UNITY METHOD
• A Galerkin least‐squares finite element method for the two‐dimensional Helmholtz equation
• A Transpose-Free Quasi-Minimal Residual Algorithm for Non-Hermitian Linear Systems
• Linear integral equations
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