[PDF] Top 20 An efficient domain decomposition method with cross-point treatment for Helmholtz problems

... 1 An efficient domain decomposition method with cross-point treatment for Helmholtz problems ... Voir le document complet

... of domain partition (e). For both kinds of transmission operator, the boundary-point treatment is required for converging towards the good ...this treatment, the residual ... Voir le document complet

... the domain) to close the ...approximation. With these relations, the auxiliary fields defined on adjacent edges are coupled at the common ...corner. For the fields {u f ,i } N i=1 defined on Γ f , ... Voir le document complet

... design an efficient domain decomposition method to solve solid and fluid mechanical problems, for this, Optimized Schwarz methods (OSM) are considered and ...Schwarz ... Voir le document complet

... deal with the construction of the normal derivative of the ...sweeping-type domain decompo- sition methods have been made popular due to their capability to achieve nearly-linear asymptotic ...] for ... Voir le document complet

... of an assembly may cause technical difficulties for domain decomposition ...methods. With the Latin method [17], as subdomains and interfaces are both considered as different ... Voir le document complet

... The method presented in this paper and the numerical results which illustrate its potential show that it is now possible to solve real life large contact problems using a domain decomposition ... Voir le document complet

... converge for the Helmholtz ...value problems (BVPs) associated with (1) enjoy many nice properties including the H 1 - coercivity of a(u, v) = ∫ (∇u · ∇v + k 2 u v), the associated bilinear ... Voir le document complet

... solve with a direct solver at an affordable ...(CMUT) for example consist in thousands of electrically actuated membranes form- ing a cell array, well suited for domain ... Voir le document complet

... framework for the construction of domain decomposition methods (DDM) for the model Helmholtz equation with high order transmission conditions (TC) and ...is an elaboration ... Voir le document complet

... one-level domain decomposition meth- ods as depicted in the introduction of this section, see (3), do suffer from poor conditioning when used with many sub- domains, [25, 28, ...1/H for ... Voir le document complet

... Condition, Domain Decomposition Method, Transmission Condition, Helmholtz equation, Corners, Time-harmonic 1 Introduction The analysis of Domain Decomposition Methods (DDM) [11] ... Voir le document complet

... 𝐿 for the wavenumber 𝑘 = 2𝜋. 𝐿/𝜆 varies from 0 to 1.5. an arbitrary number of subdomains, following the argument in [ 5 ], at the condition that there are no crossing points between interfaces (this ... Voir le document complet

... in domain decomposition (DD) methods since they are naturally well-fitted to modern parallel ...architectures. For specific systems of partial differential equations with a saddle point ... Voir le document complet

... a domain decomposition method, based on the FETI- DP linear solver, to applications such as passenger ship ...the method is designed for large-scale elastic analysis of a structure ... Voir le document complet

... bottleneck for many sophisticated ...over-simplistic for some ...interactions with sophisticated potential terms exhibit more general modeling capabilities, their optimization is very ... Voir le document complet

... methods for unilateral ...lagrangian method for equality and inequality constraints in Hilbert ...Contact problems in Elasticity: A Study of Variational Inequalities and Finite Element ... Voir le document complet

... developed for high performance computing considerations, such a method may have also other ...partitionning method is also a good candidate for measuring continuous displacements in the case ... Voir le document complet

... more an issue. This problem is even more acute with tomographic ...responsible for the high computational cost of high resolution FE-DIC are thus system inversions and image ...A method that ... Voir le document complet

... Schwarz domain decomposition ...preconditioning for Maxwell’s equations in the time-harmonic regime, which is an underdeveloped issue in the literature, particularly for high order ... Voir le document complet