Multidomain finite elements for advection-diffusion equations

DOI10.1016/0168-9274(95)00131-XzbMath0853.65119OpenAlexW2158046619MaRDI QIDQ1917478

R. Loredana Trotta

Publication date: 8 December 1996

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00131-x

zbMATH Keywords

numerical examplesfinite elementadaptive methodsdomain decomposition methodsadvection-diffusion equations

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (9)

Unnamed Item ⋮ An iteration-by-subdomain overlapping Dirichlet/Robin domain decomposition method for advection-diffusion problems. ⋮ Transmission conditions with constraints in finite element domain decomposition methods for flow problems ⋮ BDDC algorithms for advection-diffusion problems with HDG discretizations ⋮ An Eulerian-Lagrangian substructuring domain decomposition method for unsteady-state advection-diffusion equations ⋮ FETI domain decomposition methods for scalar advection-diffusion problems ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ A multi-timestep Robin-Robin domain decomposition method for time dependent advection-diffusion problems ⋮ Coercive domain decomposition algorithms for advection-diffusion equations and systems

Uses Software

• PVM

Cites Work

• Finite element methods for linear hyperbolic problems
• Domain decomposition and parallel processing for the numerical solution of partial differential equations
• A relaxation procedure for domain decomposition methods using finite elements
• Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
• A relationship between stabilized finite element methods and the Galerkin method with bubble functions
• On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Iterative Methods for the Solution of Elliptic Problems on Regions Partitioned into Substructures
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