Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems | Zendy

Laurence Halpern | Zendy; Caroline Japhet | Zendy; Jérémie Szeftel | Zendy

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Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems

Author(s) -

Laurence Halpern,

Caroline Japhet,

Jérémie Szeftel

Publication year - 2012

Publication title -

siam journal on numerical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.78

H-Index - 134

eISSN - 1095-7170

pISSN - 0036-1429

DOI - 10.1137/120865033

Subject(s) - discontinuous galerkin method , domain decomposition methods , time stepping , mathematics , waveform , relaxation (psychology) , schwarz alternating method , diffusion , galerkin method , mathematical analysis , finite element method , computer science , discretization , physics , thermodynamics , psychology , telecommunications , radar , social psychology

We design and analyze a Schwarz waveform relaxation algorithm for domain decomposition of advection-diffusion-reaction problems with strong heterogeneities. The interfaces are curved, and we use optimized Ventcell transmission conditions. We analyze the semidiscretization in time with discontinuous Galerkin as well. We also show two-dimensional numerical results using generalized mortar finite elements in space.

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