FETI and FETI-DP Methods for Spectral and Mortar Spectral Elements: A Performance Comparison
Journal of Scientific Computing
Parallel FETI algorithms for mortars
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
A scalable FETI-DP algorithm with non-penetration mortar conditions on contact interface
Journal of Computational and Applied Mathematics
Parallel FETI algorithms for mortars
Applied Numerical Mathematics - 6th IMACS International symposium on iterative methods in scientific computing
SIAM Journal on Scientific Computing
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A class of finite element tearing and interconnecting (FETI) methods for the edge element approximation of vector field problems in two dimensions is introduced and analyzed. First, an abstract framework is presented for the analysis of a class of FETI methods where a natural coarse problem, associated with the substructures, is lacking. Then, a family of FETI methods for edge element approximations is proposed. It is shown that the condition number of the corresponding method is independent of the number of substructures and grows only polylogarithmically with the number of unknowns associated with individual substructures. The estimate is also independent of the jumps of both of the coefficients of the original problem. Numerical results validating our theoretical bounds are given. The method and its analysis can be easily generalized to Raviart--Thomas element approximations in two and three dimensions.