Concept
Additive Schwarz method
Related publications (32)
Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps
Jan Sickmann Hesthaven, Niccolo' Discacciati
We propose a local, non -intrusive model order reduction technique to accurately approximate the solution of coupled multi -component parametrized systems governed by partial differential equations. Our approach is based on the approximation of the boundar ...
Lausanne2024Spectral Coarse Spaces for the Substructured Parallel Schwarz Method
The parallel Schwarz method (PSM) is an overlapping domain decomposition (DD) method to solve partial differential equations (PDEs). Similarly to classical nonoverlapping DD methods, the PSM admits a substructured formulation, that is, it can be formulated ...
2022Linear and nonlinear substructured Restricted Additive Schwarz iterations and preconditioning
Iterative substructuring Domain Decomposition (DD) methods have been extensively studied, and they are usually associated with nonoverlapping decompositions. It is less known that classical overlapping DD methods can also be formulated in substructured for ...
2022A numerical algorithm based on probing to find optimized transmission conditions
Optimized Schwarz Methods (OSMs) are based on optimized transmission conditions along the interfaces between the subdomains. Optimized transmission conditions are derived at the theoretical level, using techniques developed in the last decades. The hypothe ...
Springer-Verlag2021Model order reduction of flow based on a modular geometrical approximation of blood vessels
Simone Deparis, Luca Pegolotti
We are interested in a reduced order method for the efficient simulation of blood flow in arteries. The blood dynamics is modeled by means of the incompressible Navier–Stokes equations. Our algorithm is based on an approximated domain-decomposition of the ...
2021Model order reduction for large-scale structures with local nonlinearities
Jan Sickmann Hesthaven, Mengwu Guo, Zhenying Zhang
In solid mechanics, linear structures often exhibit (local) nonlinear behavior when close to failure. For instance, the elastic deformation of a structure becomes plastic after being deformed beyond recovery. To properly assess such problems in a real-life ...
ELSEVIER SCIENCE SA2019Continuum versus discrete approach in modeling of wear processes
Enrico Milanese, Lucas Henri Galilée Frérot
Wear of materials is a very complex phenomenon due to its tight correlation with all the other phenomena that take place at the interface of two bodies interacting with one another, like friction, contact and lubrication. When two opposing surfaces slide o ...
2018Scaling and Resilience in Numerical Algorithms for Exascale Computing
The first Petascale supercomputer, the IBM Roadrunner, went online in 2008. Ten years later, the community is now looking ahead to a new generation of Exascale machines. During the decade that has passed, several hundred Petascale capable machines have bee ...
EPFL2018A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations
Simone Deparis, Andrea Manzoni, Niccolò Dal Santo
We analyze the numerical performance of a preconditioning technique recently proposed in [1] for the efficient solution of parametrized linear systems arising from the finite element (FE) discretization of parameter-dependent elliptic partial differential ...
Walter de Gruyter GmbH2017MATHICSE Technical Report : A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion
Simone Deparis, Andrea Manzoni, Niccolò Dal Santo
We analyze the numerical performance of a preconditioning technique recently proposed in [4] for the ecient solution of parametrized linear systems arising from the finite element (FE) discretization of parameter-dependent elliptic partial differential equ ...
MATHICSE2017