Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

Danping Yang

doi:10.1090/mcom/3102

Non-iterative parallel Schwarz algorithms based on overlapping domain decomposition for parabolic partial differential equations

Mathematics of Computation ◽

10.1090/mcom/3102 ◽

2017 ◽

Vol 86 (308) ◽

pp. 2687-2718 ◽

Cited By ~ 4

Author(s):

Danping Yang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Overlapping Domain Decomposition ◽

Schwarz Algorithms

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Implicit Space-Time Domain Decomposition Methods for Stochastic Parabolic Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/12090410x ◽

2014 ◽

Vol 36 (1) ◽

pp. C1-C24 ◽

Cited By ~ 6

Author(s):

Cui Cong ◽

Xiao-Chuan Cai ◽

Karl Gustafson

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Time Domain ◽

Decomposition Methods ◽

Space Time ◽

Parabolic Partial Differential Equations ◽

Domain Decomposition Methods ◽

Partial Differential

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Energy stable numerical methods for hyperbolic partial differential equations using overlapping domain decomposition

Journal of Computational Physics ◽

10.1016/j.jcp.2012.03.003 ◽

2012 ◽

Vol 231 (16) ◽

pp. 5243-5265 ◽

Cited By ~ 10

Author(s):

Adam Reichert ◽

Michael T. Heath ◽

Daniel J. Bodony

Keyword(s):

Partial Differential Equations ◽

Numerical Methods ◽

Differential Equations ◽

Domain Decomposition ◽

Hyperbolic Partial Differential Equations ◽

Partial Differential ◽

Overlapping Domain Decomposition ◽

Energy Stable

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A Weakly Overlapping Domain Decomposition Preconditioner for the Finite Element Solution of Elliptic Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/s1064827501361425 ◽

2002 ◽

Vol 23 (6) ◽

pp. 1817-1841 ◽

Cited By ~ 16

Author(s):

Randolph E. Bank ◽

Peter K. Jimack ◽

Sarfraz A. Nadeem ◽

Sergei V. Nepomnyaschikh

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Elliptic Partial Differential Equations ◽

Finite Element Solution ◽

Element Solution ◽

Partial Differential ◽

Overlapping Domain Decomposition

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Explicit/implicit and Crank–Nicolson domain decomposition methods for parabolic partial differential equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2018.11.020 ◽

2019 ◽

Vol 77 (7) ◽

pp. 1841-1863

Author(s):

Jixin Chen ◽

Danping Yang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Methods ◽

Parabolic Partial Differential Equations ◽

Domain Decomposition Methods ◽

Partial Differential ◽

Crank Nicolson

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Efficient Parallel Solution of Nonlinear Parabolic Partial Differential Equations by a Probabilistic Domain Decomposition

Journal of Scientific Computing ◽

10.1007/s10915-010-9349-2 ◽

2010 ◽

Vol 43 (2) ◽

pp. 135-157 ◽

Cited By ~ 12

Author(s):

Juan A. Acebrón ◽

Ángel Rodríguez-Rozas ◽

Renato Spigler

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Parallel Solution ◽

Nonlinear Parabolic

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ON NON-CONDITIONAL STABILITY OF OPEN DIFFERENCE PATTERNS FOR PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS

Demonstratio Mathematica ◽

10.2478/dema-1989-0110 ◽

1989 ◽

Vol 22 (1) ◽

pp. 85-100

Author(s):

Vu Van Hung

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Conditional Stability ◽

Partial Differential

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Adaptive Finite Element Methods for Parabolic Partial Differential Equations.

10.21236/ada131824 ◽

1983 ◽

Cited By ~ 2

Author(s):

Joseph E. Flaherty ◽

J. Michael Coyle ◽

Raymond Ludwig ◽

Stephen F. Davis

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Parabolic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

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The Continuous Classical Optimal Control for a Coupled Nonlinear Parabolic Partial Differential Equations with Equality and Inequality Constraints

Journal of Al-Nahrain University-Science ◽

10.22401/jnus.19.1.20 ◽

2016 ◽

Vol 19 (1) ◽

pp. 173-186 ◽

Cited By ~ 1

Author(s):

Jamil A. Ali Al-Hawasy ◽

◽

Ghufran M. Kadhem ◽

Keyword(s):

Optimal Control ◽

Partial Differential Equations ◽

Differential Equations ◽

Inequality Constraints ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Nonlinear Parabolic ◽

Equality And Inequality Constraints

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Global boundary feedback stabilization for a class of pseudo-parabolic partial differential equations

2013 American Control Conference ◽

10.1109/acc.2013.6580715 ◽

2013 ◽

Cited By ~ 1

Author(s):

Agus Hasan ◽

Ole Morten Aamo ◽

Bjarne Foss

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Feedback Stabilization ◽

Parabolic Partial Differential Equations ◽

Partial Differential ◽

Boundary Feedback

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Design of worst spatial distribution of disturbances for a class of parabolic partial differential equations

Proceedings of the 2005, American Control Conference, 2005. ◽

10.1109/acc.2005.1470583 ◽

2005 ◽

Cited By ~ 5

Author(s):

M.A. Demetriou ◽

J. Borggaard

Keyword(s):

Spatial Distribution ◽

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Partial Differential Equations ◽

Partial Differential

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