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[PDF] Top 20 Domain decomposition methods for the diffusion equation with low-regularity solution

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Domain decomposition methods for the diffusion equation with low-regularity solution

Domain decomposition methods for the diffusion equation with low-regularity solution

... of the paper is as follows. In section 2, we introduce the notations, geometry and Hilbert spaces to define the problem ...functions with L 2 -jump of normal traces on the interface ... Voir le document complet

23

Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion

Existence and regularity of solution for a Stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion

... step for a rigorous mathematical analysis of the stochastic model, in Section 2, we will prove existence and uniqueness of a solution to ...when the initial condition u 0 belongs to L q (D) ... Voir le document complet

23

On Domain Decomposition Methods with optimized transmission conditions and cross-points

On Domain Decomposition Methods with optimized transmission conditions and cross-points

... unavoidable for the development of optimized DDM with enhanced convergence or stability ...to the development of these techniques, see [14, 16, 18, 19, ...13]. The purely discrete case ... Voir le document complet

27

Non overlapping Domain Decomposition Methods for Time Harmonic Wave Problems

Non overlapping Domain Decomposition Methods for Time Harmonic Wave Problems

... Methods for Time Harmonic Wave Problems Xavier Claeys, Francis Collino, Patrick Joly and Emile Parolin Abstract .... The domain decomposition method (DDM) initially designed, ... Voir le document complet

13

On domain decomposition with space filling curves for the parallel solution of the coupled Maxwell/Vlasov equations

On domain decomposition with space filling curves for the parallel solution of the coupled Maxwell/Vlasov equations

... of the edge-cut for a particle simulation A particle simulation benefits from a DD with a small edge-cut at least at two ...during the solution of the Maxwell equation. ... Voir le document complet

101

Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation

Finite element methods with symmetric stabilization for the transient convection-diffusion-reaction equation

... Introduction The interior penalty method for elliptic and parabolic problems was introduced in 1976 by Douglas and Dupont in the seminal work ...that the method was robust at high Peclet ... Voir le document complet

29

Domain decomposition methods and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field

Domain decomposition methods and high-order absorbing boundary conditions for the numerical simulation of the time dependent Schrödinger equation with ionization and recombination by intense electric field

... the diffusion equation, and more recently by Antoine, Besse [7], [6], [4] and Szeftel [10], [34] for the linear and nonlinear Schr¨odinger equations by using pseudo- and ... Voir le document complet

27

Iterative Methods for Model Reduction by Domain Decomposition

Iterative Methods for Model Reduction by Domain Decomposition

... reduce the computational effort to solve a partial differential equation on a given ...domain. The main idea is to split the domain of interest in two subdomains, and to use ... Voir le document complet

20

Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods

Two-Level Domain Decomposition Methods for Highly Heterogeneous Darcy Equations. Connections with Multiscale Methods

... to the solution of complex non linear systems of Partial Differential Equations ...allow for large time steps. After Newton type lineari- zation, one ends up with the solution of ... Voir le document complet

24

Reaction-diffusion systems with initial data of low regularity

Reaction-diffusion systems with initial data of low regularity

... introduced methods to prove L 2 a priori estimates for the ...estimate with initial data in L 1 while the usual theory uses L 2 ...simplify the proof of some ... Voir le document complet

24

Space-Time Domain Decomposition for Mixed Formulations of Diffusion Equations

Space-Time Domain Decomposition for Mixed Formulations of Diffusion Equations

... method for the one dimensional wave ...grids with Robin interface conditions: The finite element ...of the 5th International Con- ference on Domain Decomposition ... Voir le document complet

9

Domain decomposition algorithms for the compressible Euler equations

Domain decomposition algorithms for the compressible Euler equations

... solving the compressible Euler equations by an implicit scheme the nonlinear system is usually solved by Newton’s ...conditioned. The necessity of a domain decomposition became more and ... Voir le document complet

17

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

... to the regularity of 𝜒. This allowed us to compute the function 𝜏 𝑟 * (𝐿, ...represented the curves 𝐿/𝜆 → 𝜏 𝑟 * (𝐿, 𝑘) where 𝜆 = 2𝜋/𝑘 is the wavelength, for two values of 𝑘: 𝑘 = ... Voir le document complet

37

Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

Algebraic Domain Decomposition Methods for Darcy flow in heterogeneous media

... weights for all edges in ...problem, the way how we should define values of the edges weights comes ...partition with interfaces of the subdomains going along a direction of anisotropy ... Voir le document complet

164

Domain decomposition methods for non linear problems in fluid dynamics

Domain decomposition methods for non linear problems in fluid dynamics

... la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou ... Voir le document complet

115

Domain decomposition methods for large linearly elliptic three dimensional problems

Domain decomposition methods for large linearly elliptic three dimensional problems

... la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou ... Voir le document complet

26

Application of fictitious domain method to the solution of the Helmholtz equation in unbounded domain

Application of fictitious domain method to the solution of the Helmholtz equation in unbounded domain

... la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou ... Voir le document complet

29

Efficient high order and domain decomposition methods for the time-harmonic Maxwell's equations

Efficient high order and domain decomposition methods for the time-harmonic Maxwell's equations

... Résumé. Les équations de Maxwell en régime harmonique comportent plusieurs difficultés lorsque la fréquence est élevée. On peut notamment citer le fait que leur formulation variationnelle n’est pas définie positive et ... Voir le document complet

153

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

... to the explicit computa- tion of the constant in Moser’s Harnack inequality based on the method of [ 25 , 26 ...of the constant has yet been ...needed for proving the stability ... Voir le document complet

55

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

Explicit constants in Harnack inequalities and regularity estimates, with an application to the fast diffusion equation

... weak solution is defined as in [ 26 , p. 728], [ 24 , Chapter 3] or [ 3 ]. The Harnack inequality of Theorem 1 goes back to ...]. The dependence of the constant on the ellipticity ... Voir le document complet

56

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