Multilevel Splitting of Weighted Graph-Laplacian Arising in Non-conforming Mixed FEM Elliptic Problems

DOI10.1007/978-3-642-00464-3_22zbMath1233.65086OpenAlexW1567634517MaRDI QIDQ3615659

Petia Boyanova, Svetozar Margenov

Publication date: 24 March 2009

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-00464-3_22

zbMATH Keywords

projection algorithmunsteady Navier-Stokes equationsCrouzeix-Raviart non-conforming elementsCauchy-Bunyakowski-Schwarz (CBS) inequalitysuperconvergent postprocessing procedurealgebraic multilevel iterations (AMLI)locally mass-conservative algorithmmixed formweighted graph-Laplacian

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (1)

Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses

Cites Work

• Unnamed Item
• CBS constants for multilevel splitting of graph-Laplacian and application to preconditioning of discontinuous Galerkin systems
• On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems
• Algebraic Multilevel Preconditioning Methods, II
• A multilevel method for discontinuous Galerkin approximation of three‐dimensional anisotropic elliptic problems
• Robust optimal multilevel preconditioners for non‐conforming finite element systems
• A locally DIV-free projection scheme for incompressible flows based on non-conforming finite elements

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