INTERNODES for Heterogeneous Couplings

DOI10.1007/978-3-319-93873-8_5zbMath1442.65428OpenAlexW2906714908MaRDI QIDQ5114525

Paola Gervasio, Alfio M. Quarteroni

Publication date: 24 June 2020

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-93873-8_5

zbMATH Keywords

interpolationdecompositionStokes problemDarcy lawnon-conforming discretizationsfluid structure Interaction

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical interpolation (65D05)

Related Items (6)

Efficient and certified solution of parametrized one-way coupled problems through DEIM-based data projection across non-conforming interfaces ⋮ Model reduction of coupled systems based on non-intrusive approximations of the boundary response maps ⋮ A reduced order model for domain decompositions with non-conforming interfaces ⋮ The INTERNODES method for the treatment of non-conforming multipatch geometries in isogeometric analysis ⋮ The INTERNODES method for non-conforming discretizations of PDEs ⋮ Conservation of forces and total work at the interface using the internodes method

Cites Work

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• Analysis of the INTERNODES method for non-conforming discretizations of elliptic equations
• Numerical models for differential problems. Translated from the 5th Italian edition by Silvia Quarteroni
• The Interface Control Domain Decomposition Method for Stokes--Darcy Coupling
• A Fluid–Structure Interaction Algorithm Using Radial Basis Function Interpolation Between Non-Conforming Interfaces
• Coupling Fluid Flow with Porous Media Flow
• The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications
• A Rescaled Localized Radial Basis Function Interpolation on Non-Cartesian and Nonconforming Grids
• Conjugate approximation functions in finite-element analysis

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