# 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

29

### A Symmetric Trefftz-DG Formulation based on a Local Boundary Element Method for the Solution of the Helmholtz Equation

**The**

**Helmholtz**boundary-value problem

**The**DG variational formulations

**of**

**the**

**Helmholtz**

**equation**( ...writing

**the**wave

**equation**

**in**

**the**form ...

35

### Sampling and reconstruction of solutions to the Helmholtz equation

**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 ...

24

### Semiclassical measure for the solution of the dissipative Helmholtz equation

**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 ...

44

### Reconstruction of solutions to the Helmholtz equation from punctual measurements

**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 ...

5

### Discontinuous Galerkin Time-Domain solution of Maxwell's equations on locally-refined grids with fictitious domains

**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 ...

22

### Application of the spectral element method to the solution of the multichannel Schroedinger equation

**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 ...

11

### A Rellich type theorem for the Helmholtz equation in a conical domain

**the**well-known Rellich’s uniqueness theorem [8] and succeeding results (see, ...behavior

**of**solutions

**to**

**the**

**Helmholtz**

**equation**

**in**an

**unbounded**...

**domain**. ...

7

### A fictitious domain method for lithosphere-asthenosphere interaction: Application to periodic slab folding in the upper mantle

**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 ...

27

### An efficient domain decomposition method with cross-point treatment for Helmholtz problems

**of**

**the**numerical

**solution**at

**the**boundary depends on

**the**number N and

**the**angle φ ...Because

**of**

**the**spatial derivative

**in**

**equation**(2), ...

5

### Fictitious domain method for an inverse problem in volcanoes

**of**

**the**crack,

**the**variation

**of**

**the**latter implies a remeshing and assembling

**of**all

**the**matrices

**of**

**the**...a

**domain**decomposition technique ...

9

### 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 ...

23

### On the convergence of the fictitious domain method for wave equation problems

**the**

**solution**

**of**

**the**continuous problem.

**The**incident wave is completely reflected by

**the**obstacle and

**the**scattered waves generated by

**the**extremities ...

41

### Continuity of the trace operator with respect to the domain and application to shape optimization

**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**...

16

### An efficient domain decomposition method with cross-point treatment for Helmholtz problems

**The**accuracy

**of**

**the**numerical

**solution**at

**the**boundary depends on

**the**number N and

**the**angle φ ...Because

**of**

**the**spatial derivative

**in**...

7

### Generalized Combined Field Integral Equations for the iterative solution of the three-dimensional Helmholtz equation

**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 ...

22

### Involving the Application Domain Expert in the Construction of Systems of Systems

**the**

**application**

**domain**expert makes decisions on business aspects, while

**the**system architect is responsible

**of**implementation ...cover

**the**stages concerning

**the**...

9

### Internal controllability of the Korteweg-de Vries equation on a bounded domain

**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 ...

27

### A general fictitious domain method with immersed jumps and multilevel nested structured meshes

58

### Involving the application domain expert in the construction of systems of system

**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, ...

8