On substructuring algorithms and solution techniques for the numerical approximation of partial differential equations

DOI10.1016/0168-9274(86)90031-0zbMath0645.65066OpenAlexW2014951556MaRDI QIDQ1103352

R. A. Nicolaides, Max D. Gunzburger

Publication date: 1986

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

Full work available at URL: http://hdl.handle.net/2060/19860020953

zbMATH Keywords

cost functionalHelmholtz equationPoisson equationsmoothnessorthogonalityconjugate gradient methodssingular matrixsubstructuringstationary Stokes equationsadaptive gradingblock Gaussian eliminationnonpositive definite, nonsymmetric matrices

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

A note on the capacitance matrix algorithm, substructuring, and mixed or Neumann boundary conditions, On nonoverlapping domain decomposition methods for the incompressible Navier-Stokes equations

Uses Software

• symrcm

Cites Work

• Finite element approximation of the Navier-Stokes equations
• Elimination with noninvertible pivots
• On mixed finite element methods for first order elliptic systems
• Stability of Finite Elements under Divergence Constraints
• Stable and Semistable Low Order Finite Elements for Viscous Flows
• Unnamed Item
• Unnamed Item