An Algebraic Multigrid Method for a Class of Elliptic Differential Systems

DOI10.1137/S1064827502411250zbMath1038.65132MaRDI QIDQ4442468

Giuseppe Borzì, Alfio Borzì

Publication date: 20 January 2004

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesnumerical experimentsalgebraic multigrid methodoptimal control problemssystems of elliptic equationsdiffusion-convection-reaction problems

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Numerical optimization and variational techniques (65K10) Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (4)

Parallel algebraic multilevel Schwarz preconditioners for a class of elliptic PDE systems ⋮ A multigrid method for constrained optimal control problems ⋮ An efficient algebraic multigrid method for solving optimality systems ⋮ Performance of parallel AMG-preconditioners in CFD-codes for weakly compressible flows

Uses Software

• ITSOL
• SPARSKIT

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