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Title of Journal: Sci China Ser AMath

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Abbravation: Science in China Series A: Mathematics

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SP Science in China Press

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10.1007/bf01510364

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1862-2763

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Corrected explicitimplicit domain decomposition a

Authors: HongLin Liao HanSheng Shi ZhiZhong Sun
Publish Date: 2009/09/02
Volume: 52, Issue: 11, Pages: 2362-
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Abstract

Corrected explicitimplicit domain decomposition CEIDD algorithms are studied for parallel approximation of semilinear parabolic problems on distributed memory processors It is natural to divide the spatial domain into some smaller parallel strips and cells using the simplest straightline interface SI By using the LeraySchauder fixedpoint theorem and the discrete energy method it is shown that the resulting CEIDDSI algorithm is uniquely solvable unconditionally stable and convergent The CEIDDSI method always suffers from the globalization of data communication when interior boundaries cross into each other inside the domain To overcome this disadvantage a composite interface CI that consists of straight segments and zigzag fractions is suggested The corresponding CEIDDCI algorithm is proven to be solvable stable and convergent Numerical experiments are presented to support the theoretical results

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Other Papers In This Journal:
  1. Global solutions of stochastic 2D Navier-Stokes equations with Lévy noise
  2. A Second Main Theorem on ℙ n for difference operator
  3. Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms
  4. On finite 2-groups all of whose subgroups are mutually isomorphic
  5. Sharp Lipschitz constant of bi-Lipschitz automorphism on Cantor set
  6. Testing coefficients of AR and bilinear time series models by a graphical approach
  7. Stochastic regression and its application to hedging in finance
  8. Survey on normal distributions, central limit theorem, Brownian motion and the related stochastic calculus under sublinear expectations
  9. Conformal mappings and CR mappings on the Engel group
  10. Remarks on lines and minimal rational curves
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