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Everything about Schur complement method
In numerical analysis, the Schur complement method, named after Issai Schur, is the basic and the earliest version of non-overlapping domain decomposition method, also called iterative substructuring. A finite element problem is split into non-overlapping subdomains, and the unknowns in the interiors of the subdomains are eliminated. The remaining Schur complement system on the unknowns associated with subdomain interfaces is solved by the conjugate gradient method. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Schur complement methodA 5-minute orientation
- Skim a recent paper: Reduced order modeling for a Schur complement method for fluid-structure interactionInfluential work since 2022
- Pick up a classic book: The Schur complement and its applicationsThe most-reprinted book on the subject
- Read the landmark paper: Parallel Schur complement method for large-scale systems on distributed memory computersCited 33 times
- Go sideways: Neumann–Neumann methodsA closely related topic
- Go sideways: Fictitious domain methodA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Parallel Schur complement method for large-scale systems on distributed memory computers
Algebraic Two-Level Preconditioners for the Schur Complement Method
Direct Schur complement method by domain decomposition based on H-matrix approximation
Accelerating adjoint variable method based photonic optimization with Schur complement domain decomposition
Revising the Boundary Element Method for Thermoviscous Acoustics: An Iterative Approach via Schur Complement
Auxiliary space multigrid method based on additive Schur complement approximation
Static load balancing applied to Schur complement method
Scalable hybrid implementation of the Schur complement method for multi-GPU systems
🆕 Influential since 2022
Reduced order modeling for a Schur complement method for fluid-structure interaction
Towards a dynamic flow calculation method based on Schur complement for natural gas network
Efficient method for accelerating line searches in adjoint optimization of photonic devices by combining Schur complement domain decomposition and Born series expansions
Efficient Preconditioners for Interior Point Methods via a New Schur Complement-Based Strategy
An Adaptive Time-Stepping Finite Element Method With Schur-Complement Preconditioning for Surge Simulation of Magnetic Components
đź“š Books worth reading
The Schur complement and its applicationsFuzhen Zhang · 2005
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
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