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Preconditioning trace coupled 3d‐1d systems using fractional Laplacian
Miroslav Kuchta, Kent‐Andre Mardal and Mikael Mortensen Numerical Methods for Partial Differential Equations 35(1) 375 (2019) https://doi.org/10.1002/num.22304
The FFTRR-based fast direct algorithms for complex inhomogeneous biharmonic problems with applications to incompressible flows
Preconditioners for Saddle Point Systems with Trace Constraints Coupling 2D and 1D Domains
Miroslav Kuchta, Magne Nordaas, Joris C. G. Verschaeve, Mikael Mortensen and Kent-Andre Mardal SIAM Journal on Scientific Computing 38(6) B962 (2016) https://doi.org/10.1137/15M1052822
Optimal Solvers for Fourth-Order PDEs Discretized on Unstructured Grids
Domain Decomposition Methods in Science and Engineering XX
Etereldes Gonçalves and Marcus Sarkis Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XX 91 111 (2013) https://doi.org/10.1007/978-3-642-35275-1_11
On an effective solution of the Riemann problem for third order improperly elliptic equations
Domain Decomposition Methods in Science and Engineering XVII
Etereldes Gonçalves, Tarek P. Mathew, Markus Sarkis and Christian E. Schaerer Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVII 60 527 (2008) https://doi.org/10.1007/978-3-540-75199-1_66
Analysis of block matrix preconditioners for elliptic optimal control problems
T. P. Mathew, M. Sarkis and C. E. Schaerer Numerical Linear Algebra with Applications 14(4) 257 (2007) https://doi.org/10.1002/nla.526
Modified nodal cubic spline collocation for biharmonic equations
Domain Decomposition Methods in Science and Engineering XVI
Henrique Versieux and Marcus Sarkis Lecture Notes in Computational Science and Engineering, Domain Decomposition Methods in Science and Engineering XVI 55 763 (2007) https://doi.org/10.1007/978-3-540-34469-8_95
On preconditioners for mortar discretization of elliptic problems
Recent Developments in Domain Decomposition Methods
Maksymilian Dryja and Olof B. Widlund Lecture Notes in Computational Science and Engineering, Recent Developments in Domain Decomposition Methods 23 41 (2002) https://doi.org/10.1007/978-3-642-56118-4_3