On the coupling of hyperbolic and parabolic systems: Analytical and numerical approach

DOI10.1016/0168-9274(89)90052-4zbMath0686.65084OpenAlexW2093837867WikidataQ56996684 ScholiaQ56996684MaRDI QIDQ1262731

Fabio Gastaldi, Alfio M. Quarteroni

Publication date: 1989

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2060/19890004358

zbMATH Keywords

Navier-Stokes equationsEuler equationcompressible flowregularization proceduresingular perturbation analysisspectral collocation methodinterface conditionscoupling of hyperbolic and parabolic systems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Partial differential equations of mixed type and mixed-type systems of partial differential equations (35M99)

Related Items

Multidomain solution of advection problems by Chebyshev spectral collocation ⋮ ON THE INFLUENCE OF THE DEFORMATION OF THE FORMING SOLID IN THE SOLIDIFICATION OF A SEMI-INFINITE WATER LAYER OF FLUID ⋮ ANALYSIS OF A HETEROGENEOUS DOMAIN DECOMPOSITION FOR COMPRESSIBLE VISCOUS FLOW ⋮ INTERFACE TREATMENT OF A THREE-DIMENSIONAL HYBRID INVISCID/VISCOUS FLOW PROBLEM ⋮ Numerical Approximation of Large Contrast Problems with the Unfitted Nitsche Method ⋮ A new algorithm based on factorization for heterogeneous domain decomposition ⋮ Unnamed Item ⋮ Heterogeneous Mathematical Models in Fluid Dynamics and Associated Solution Algorithms ⋮ Singular perturbation on a subdomain ⋮ An exploratory study on machine learning to couple numerical solutions of partial differential equations ⋮ Multidomain finite elements for advection-diffusion equations ⋮ Investigation of the use of Prandtl/Navier–Stokes equation procedures for two-dimensional incompressible flows ⋮ Convergence analysis on computation of coupled advection-diffusion-reaction problems ⋮ A Discontinuous-Skeletal Method for Advection-Diffusion-Reaction on General Meshes ⋮ Unnamed Item ⋮ Discontinuous Galerkin methods based on weighted interior penalties for second order PDEs with non-smooth coefficients ⋮ Families of hybridized interior penalty discontinuous Galerkin methods for locally degenerate advection-diffusion-reaction problems ⋮ Analysis and simulation of a coupled hyperbolic/parabolic model problem ⋮ A domain decomposition method for solving a two-dimensional viscous Burgers' equation ⋮ Multiscale analysis of heterogeneous domain decomposition methods for time-dependent advection-reaction-diffusion problems ⋮ Domain decomposition methods for domain composition purpose: chimera, overset, gluing and sliding mesh methods ⋮ Error estimates on hybridizable discontinuous Galerkin methods for parabolic equations with nonlinear coefficients ⋮ On the coupling of elliptic and hyperbolic nonlinear differential equations ⋮ Coupling of viscous and inviscid Stokes equations via a domain decomposition method for finite elements ⋮ Accurate steam-water equation of state for two-phase flow LMNC model with phase transition ⋮ Coupling of two-dimensional hyperbolic and elliptic equations

Cites Work

• Unnamed Item
• Unnamed Item
• On the boundary treatment in spectral methods for hyperbolic systems
• A mathematical introduction to fluid mechanics
• Perturbations singulières dans les problèmes aux limites et en contrôle optimal
• Perturbations singulières et prolongements maximaux d'opérateurs positifs
• An Iterative Procedure with Interface Relaxation for Domain Decomposition Methods
• Maximal Positive Boundary Value Problems as Limits of Singular Perturbation Problems