Non-conforming spectral element-finite element approximations for partial differential equations

DOI10.1016/0045-7825(89)90018-2zbMath0697.65080OpenAlexW2068022355MaRDI QIDQ911729

N. E. Zubov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0045-7825(89)90018-2

zbMATH Keywords

finite elementsnumerical examplesdomain decompositionparallel computationPoisson equationerror estimatorsspectral element methodsindustrial external flow problemsnon-conforming space approximationsnon-conforming spectral element-finite element approximation method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05)

Related Items (11)

A VARIABLE-ORDER SPECTRAL ELEMENT METHOD FOR INCOMPRESSIBLE VISCOUS FLOW SIMULATION ⋮ INTERNODES: an accurate interpolation-based method for coupling the Galerkin solutions of PDEs on subdomains featuring non-conforming interfaces ⋮ Spectral element simulations of laminar and turbulent flows in complex geometries ⋮ A reduced order model for domain decompositions with non-conforming interfaces ⋮ \(h\)-\(p\) spectral element methods for three dimensional elliptic problems on non-smooth domains ⋮ The INTERNODES method for the treatment of non-conforming multipatch geometries in isogeometric analysis ⋮ The INTERNODES method for non-conforming discretizations of PDEs ⋮ Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations ⋮ A discontinuous stabilized mortar method for general 3D elastic problems ⋮ Conservation of forces and total work at the interface using the internodes method ⋮ Spectral element formulations on non-conforming grids: a comparative study of pointwise matching and integral projection methods

Cites Work

• A spectral element method for fluid dynamics: Laminar flow in a channel expansion
• Error estimates for the combined h and p versions of the finite element method
• The h, p and h-p versions of the finite element method in 1 dimension. III. The adaptive h-p version
• Noncorming matching conditions for coupling spectral and finite element methods
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• A multidomain spectral approximation of elliptic equations
• A collocation method over staggered grids for the Stokes problem
• Coupling Finite Element and Spectral Methods: First Results
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