Schur Complement Systems in the Mixed-Hybrid Finite Element Approximation of the Potential Fluid Flow Problem

DOI10.1137/S1064827598339608zbMath0978.76052MaRDI QIDQ4509853

Miroslav Tůma, Miroslav Rozložnik, Jiří Maryška

Publication date: 19 October 2000

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

zbMATH Keywords

Lagrange multipliersDarcy's lawporous mediacontinuity equationsparse linear systemssymmetric indefinite linear systempotential fluid flowiterative conjugate gradient methodmixed-hybrid finite element discretizationpreconditioned conjugate residualsSchur complement matricessuccessive block elimination

Mathematics Subject Classification ID

Computational methods for sparse matrices (65F50) Flows in porous media; filtration; seepage (76S05) Iterative numerical methods for linear systems (65F10) Finite element methods applied to problems in fluid mechanics (76M10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10)

Related Items (14)

Three effective preconditioners for double saddle point problem ⋮ A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations ⋮ Iterative Methods for Double Saddle Point Systems ⋮ Disturbance observer-based Takagi-Sugeno fuzzy control of a delay fractional-order hydraulic turbine governing system with elastic water hammer via frequency distributed model ⋮ A generalized simplified Hermitian and skew-Hermitian splitting preconditioner for double saddle point problems ⋮ A modified new matrix splitting preconditioner for double saddle point problems ⋮ Uzawa-Type and Augmented Lagrangian Methods for Double Saddle Point Systems ⋮ A variant of relaxed alternating positive semi-definite splitting preconditioner for double saddle point problems ⋮ Modelling of processes in fractured rock using FEM/FVM on multidimensional domains ⋮ BDDC for mixed‐hybrid formulation of flow in porous media with combined mesh dimensions ⋮ Numerical simulation of fracture flow with a mixed-hybrid FEM stochastic discrete fracture network model ⋮ Mixed-Hybrid Formulation of Multidimensional Fracture Flow ⋮ Unnamed Item ⋮ Algebraic Hybridization and Static Condensation with Application to Scalable $H$(div) Preconditioning

Uses Software

• LAPACK
• MESHPART
• mctoolbox

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