A discontinuous finite element-based domain decomposition method

DOI10.1016/S0045-7825(00)00216-4zbMath0971.74071OpenAlexW2031693957MaRDI QIDQ1595361

André Vinicius Celani Duarte, Eduardo Gomes Dutra Do Carmo

Publication date: 2 November 2001

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(00)00216-4

zbMATH Keywords

discontinuous elements\(L\)-shaped domainparallel computerssquare plateplane stress conditionconvenient space decomposition methodfinite element-based nonoverlapping domain decomposition methodpurely diffusion problems

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05)

Related Items

A Global-Local Approach for the Construction of Enrichment Functions for the Generalized FEM and Its Application to Three-Dimensional Cracks, Analysis and applications of a generalized finite element method with global-local enrichment functions, A discontinuous finite element formulation for Helmholtz equation, Continuous/discontinuous Galerkin methods stabilized through transfer functions applied to the incompressible elasticity and to the Stokes problem, Discontinuous subgrid formulations for transport problems, Continuous/discontinuous Galerkin methods applied to elasticity problems, Locally discontinuous but globally continuous Galerkin methods for elliptic problems, Substructuring preconditioners for an \(h\)-\(p\) domain decomposition method with interior penalty mortaring

Cites Work

• Unnamed Item
• The eigenvalue spectrum of domain decomposed preconditioners
• A discontinuous \(hp\) finite element method for diffusion problems
• A discontinuous \(hp\) finite element method for convection-diffusion problems
• Discontinuous finite element formulations applied to cracked elastic domains
• Consistent discontinuous finite elements in elastodynamics
• A discontinuous \(hp\) finite element method for diffusion problems: 1-D analysis
• Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind. (On a variational principle for solving Dirichlet problems less boundary conditions using subspaces)
• An Interior Penalty Finite Element Method with Discontinuous Elements
• Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems
• An Elliptic Collocation-Finite Element Method with Interior Penalties
• A Local Residual Finite Element Procedure for Elliptic Equations
• A Nonconforming Finite Element Method for the Stationary Navier--Stokes Equations
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
• The validity of the superconvergent patch recovery in discontinuous finite element formulations
• Equivalent Norms for Sobolev Spaces