Titlebook: Domain Decomposition Methods in Science and Engineering XXV; Ronald Haynes,Scott MacLachlan,Olof Widlund Conference proceedings 2020 Sprin

TIA742

nephritis

Ultrasonic Nondestructive Evaluation SystemsOverlapping Schwarz waveform relaxation (SWR) provides space–time parallelism by iteratively solving partial differential equations (PDEs) over a time window on overlapping spatial subdomains. SWR has been studied for many problems at the continuous and discrete levels.

暫時休息

FLORA

Robust Model Reduction Discretizations Based on Adaptive BDDC TechniquesRecently, methods that do not rely on the regularity of the solution were introduced: generalized finite element methods [1], the rough polyharmonic splines [22], the variational multiscale method (VMS) [13], and the Localized Orthogonal Decomposition (LOD) [16, 10].

Psa617

Dirichlet-Neumann Preconditioning for Stabilised Unfitted Discretization of High Contrast ProblemsLet Ω . be a polygonal domain with an immersed simple closed smooth interface . , such that . , and Γ := . is far away from ?Ω (i.e, either Ω. or Ω. is a .; i.e., one of them does not touch ?Ω).

樹木心

Virtual Coarse Spaces for Irregular Subdomain DecompositionsOn the other hand, Virtual Element Methods (VEM) [1, 12, 13] allow to handle general polygonal elements. In the case of triangular elements, VEM reduces to the usual FEM. Thus, VEM is a natural choice for constructing space of functions on irregular subdomains.

突襲

A Local Coarse Space Correction Leading to a Well-Posed Continuous Neumann-Neumann Method in the PreNeumann-Neumann methods (NNMs) are among the best parallel solvers for discretized partial differential equations, see [12] and references therein. Their common polylogarithmic condition number estimate shows their effectiveness for many discretized elliptic problems, see [9, 10, 5].

獸皮

Happy 25th Anniversary DDM! ... But How Fast Can the Schwarz Method Solve Your Logo?“Vous n’avez vraiment rien à faire”!1 This was the smiling reaction of Laurence Halpern when the first author told her about our wish to accurately estimate the convergence rate of the Schwarz method for the solution of the ddm logo., see Figure 1 (left).

上釉彩

rheumatism

On Inexact Solvers for the Coarse Problem of BDDCIn this study, we present Balancing Domain Decomposition by Constraints (.) preconditioners for three-dimensional scalar elliptic and linear elasticity problems in which the direct solution of the coarse problem is replaced by a preconditioner based on a smaller vertex-based coarse space.