Méthodes d'optimisation pour l'approche de problèmes aux limites non linéaires mixtes elliptiques hyperboliques. (Optimization methods for treating mixed elliptic-hyperbolic nonlinear boundary value problems)

DOI10.1016/S0007-4497(03)00018-6zbMath1024.35083MaRDI QIDQ1408445

Jean-Sébastien Le Brizaut

Publication date: 15 September 2003

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

zbMATH Keywords

numerical resultstransonic flowentropy conditionfunctional results

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

Up to \(\varepsilon\) methods for systems modeling permanent gases. ⋮ An optimization method to determine an entropy parameter in gas dynamics

Cites Work

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• A mixed non-linear boundary value problem appearing in gas dynamics: generalized solutions and numerical results
• On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods. I. Least square formulations and conjugate gradient solution of the continuous problems
• The embedding of the positive cone of $H^{-1}$ in $W^{-1,\,q}$ is compact for all $q<2$ (with a remark of Haim Brezis)
• A functional approach to the solution of the Kármán-Guderley equation
• A stochastic optimization method for the evaluation of minima up to \(\varepsilon\)
• Nonuniqueness of transonic flows
• On a numerical solution of a class of partial differential equations of mixed type, not adding artificial terms
• Local Entropy Conditions in Transonic Potential Flow Problems
• Analysis in Compressible Fluid Mechanics
• Finite Element Methods of Least-Squares Type
• Analysis of a FEM/BEM coupling method for transonic flow computations
• Analysis of Embedded Shock Waves Calculated by Relaxation Methods
• A viscous approximation for a 2-D steady semiconductor or transonic gas dynamic flow: Existence theorem for potential flow
• Sobolev gradients and differential equations
• \(\varepsilon\)-near methods and applications to boundary value problems

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