FETI Solvers for Non-standard Finite Element Equations Based on Boundary Integral Operators
DOI10.1007/978-3-319-05789-7_70zbMath1382.65402OpenAlexW2404765580MaRDI QIDQ3133690
Ulrich Langer, Clemens Pechstein, Clemens Hofreither
Publication date: 5 February 2018
Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-05789-7_70
numerical exampledomain decompositionfinite elementparallel computationboundary elementfinite element tearing and interconnecting (FETI) methodsSteklov-Poincaré operators
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Parallel numerical computation (65Y05) Boundary element methods for boundary value problems involving PDEs (65N38)
Cites Work
- Finite and boundary element tearing and interconnecting solvers for multiscale problems
- Analysis of a non-standard finite element method based on boundary integral operators
- Boundary element tearing and interconnecting methods
- FETI and Neumann-Neumann iterative substructuring methods: Connections and new results
- Shape-explicit constants for some boundary integral operators
- L 2 error estimates for a nonstandard finite element method on polyhedral meshes
- Numerical Approximation Methods for Elliptic Boundary Value Problems
- A method of finite element tearing and interconnecting and its parallel solution algorithm
- A simple and efficient extension of a class of substructure based preconditioners to heterogeneous structural mechanics problems
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