Haut PDF 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
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation
... 2.1 The Helmholtz boundary-value problem The DG variational formulations of the Helmholtz equation (
...writing the wave equation in the form ...
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Sampling and reconstruction of solutions to the Helmholtz equation
... for the purpose of reconstructing this field over a region of interest Ω contained in a larger domain D in which the acoustic field ...propagates. In many applied ...
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Semiclassical measure for the solution of the dissipative Helmholtz equation
... going to use the point of view of ...considers the case of a source which concentrates on one or two points (with V1 6= 0) using a time-dependant method based on a BKW ...
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Reconstruction of solutions to the Helmholtz equation from punctual measurements
... ECONSTRUCTION METHOD Our goal here, given a solution to the Helmholtz equation (2) in a domain D ⊂ R d , d = 2 or 3, is to reconstruct it in a ...
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Discontinuous Galerkin Time-Domain solution of Maxwell's equations on locally-refined grids with fictitious domains
... At the same time, the idea to post a material layer around the domain with absorbing properties was also ...proposed to use layers of a totally artificial, perfectly ...
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Application of the spectral element method to the solution of the multichannel Schroedinger equation
... propagation In spite of the sparse character of the discretized Hamil- tonian, memory can become a limiting factor for systems described by a large number of collision ...
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A Rellich type theorem for the Helmholtz equation in a conical domain
... As the well-known Rellich’s uniqueness theorem [8] and succeeding results (see, ...behavior of solutions to the Helmholtz equation in an unbounded ...domain. ...
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A fictitious domain method for lithosphere-asthenosphere interaction: Application to periodic slab folding in the upper mantle
... viscosity of 1Cl20Pa .s. Geometry of plates, second invariant of the deviatoric stresses in the plates, dynamic pressure and velocity fields in the mantle at d i ...
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An efficient domain decomposition method with cross-point treatment for Helmholtz problems
... accuracy of the numerical solution at the boundary depends on the number N and the angle φ ...Because of the spatial derivative in equation (2), ...
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Fictitious domain method for an inverse problem in volcanoes
... location of the crack, the variation of the latter implies a remeshing and assembling of all the matrices of the ...a domain decomposition technique ...
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Domain decomposition methods for the diffusion equation with low-regularity solution
... EQUATION WITH LOW-REGULARITY SOLUTION ...non-matching domain decomposition methods for the numerical approximation of the mixed diffusion ...paid to the case where ...
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On the convergence of the fictitious domain method for wave equation problems
... towards the solution of the continuous problem. The incident wave is completely reflected by the obstacle and the scattered waves generated by the extremities ...
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Continuity of the trace operator with respect to the domain and application to shape optimization
... Γ. The function g is given and u is the solution of a partial differential equation on ...Ω. In the case where the unknown boundary Γ is the graph of ...
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An efficient domain decomposition method with cross-point treatment for Helmholtz problems
... 1. The accuracy of the numerical solution at the boundary depends on the number N and the angle φ ...Because of the spatial derivative in ...
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Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation
... scattering, Helmholtz equation, second-kind Fredholm integral equa- tion, Krylov iterative solution Résumé Ce papier propose la construction de nouvelles équations intégrales de type Fredholm de ...
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Involving the Application Domain Expert in the Construction of Systems of Systems
... instance, the application domain expert makes decisions on business aspects, while the system architect is responsible of implementation ...cover the stages concerning the ...
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Internal controllability of the Korteweg-de Vries equation on a bounded domain
... that the operator F maps B(0, R) into itself. Therefore the map F has a fixed point in B(0, R) by the Banach fixed-point ...Theorem. The proof of Theorem ...by the Agence ...
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A general fictitious domain method with immersed jumps and multilevel nested structured meshes
... L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignemen[r] ...
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Involving the application domain expert in the construction of systems of system
... Development). The authors pro- pose a graphical notation to illustrate dependencies between subsystems throw capability ...related to the constituent systems that will be used at run-time, ...
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