Scalable hybrid TFETI-DP methods for large boundary variational inequalities

DOI10.1007/978-3-030-95025-5_3MaRDI QIDQ6630088

Z. Dostál, Jakub Kružík, David Horák, Oldřich Vlach, T. Brzobohatý

Publication date: 30 October 2024

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Cites Work

• Scalable algorithms for contact problems
• Finite and boundary element tearing and interconnecting solvers for multiscale problems
• Optimal quadratic programming algorithms. With applications to variational inequalities
• The condition number of the Schur complement in domain decomposition
• Schur complement spectral bounds for large hybrid FETI-DP clusters and huge three-dimensional scalar problems
• Dual-primal FETI methods for linear elasticity
• FETI-DP, BDDC, and block Cholesky methods
• A Parallel Implementation of Dual‐Primal FETI Methods for Three‐Dimensional Linear Elasticity Using a Transformation of Basis
• A method of finite element tearing and interconnecting and its parallel solution algorithm
• A hybrid approach to 3‐level FETI
• Theoretically Supported Scalable FETI for Numerical Solution of Variational Inequalities
• Bounds on the spectra of Schur complements of large H‐TFETI‐DP clusters for 2D Laplacian

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