Parallel Schur complement method for large-scale systems on distributed memory computers

DOI10.1016/S0307-904X(01)00019-1zbMath0995.65132OpenAlexW1998725414WikidataQ126463980 ScholiaQ126463980MaRDI QIDQ1347892

V. Pereyra

Publication date: 15 May 2002

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0307-904x(01)00019-1

zbMATH Keywords

algorithmlarge-scale systemsnumerical examplesparallel computingmessage passingstructural mechanicsSchur complement methoddistributed memorysubstructingSchwarz alternating domain decomposition method

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05)

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A direction-splitting Navier-Stokes solver on co-located grids ⋮ A parallel time-space least-squares spectral element solver for incompressible flow problems ⋮ Computational dynamics of soft machines ⋮ Adjoint parameter sensitivity analysis for the hydrodynamic lattice Boltzmann method with applications to design optimization ⋮ A scalable parallel Poisson solver for three-dimensional problems with one periodic direction ⋮ Efficient parallel solution of large-scale nonlinear dynamic optimization problems ⋮ A parallel Schur complement solver for the solution of the adjoint steady-state lattice Boltzmann equations: application to design optimisation ⋮ Parallel direct Poisson solver for discretisations with one Fourier diagonalisable direction ⋮ Dynamic analysis of large-scale SSI systems for layered unbounded media via a parallelized coupled finite-element/boundary-element/scaled boundary finite-element model ⋮ FEM and BEM parallel processing: theory and applications – a bibliography (1996‐2002)

Cites Work

• An element-by-element solution algorithm for problems of structural and solid mechanics
• Concurrent analysis of large structures—I. Algorithms
• TRIANGULAR PLATE ELEMENTS IN THE MATRIX FORCE METHOD OF STRUCTURAL ANALYSIS
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