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 ◽

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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A new parallel domain decomposition method for the adaptive finite element solution of elliptic partial differential equations

Concurrency and Computation Practice and Experience ◽

10.1002/cpe.569 ◽

2001 ◽

Vol 13 (5) ◽

pp. 327-350 ◽

Author(s):

Randolph E. Bank ◽

Peter K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Element Solution ◽

Partial Differential

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Parallel implementation of an optimal two level additive Schwarz preconditioner for the 3-D finite element solution of elliptic partial differential equations

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.413 ◽

2002 ◽

Vol 40 (12) ◽

pp. 1571-1579 ◽

Author(s):

S. A. Nadeem ◽

P. K. Jimack

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Parallel Implementation ◽

Elliptic Partial Differential Equations ◽

Finite Element Solution ◽

Element Solution ◽

Partial Differential ◽

Additive Schwarz ◽

Schwarz Preconditioner

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MOVING-FINITE-ELEMENT SOLUTION OF TIME-DEPENDENT PARTIAL DIFFERENTIAL EQUATIONS IN TWO SPACE DIMENSIONS

International Journal of Computational Fluid Dynamics ◽

10.1080/10618569308904469 ◽

1993 ◽

Vol 1 (2) ◽

pp. 135-159 ◽

Author(s):

P. A. ZEGELING

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Time Dependent ◽

Finite Element Solution ◽

Element Solution ◽

Partial Differential ◽

Two Space Dimensions ◽

Moving Finite Element

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The use of Richardson extrapolation in the finite element solution of partial differential equations using wavelet-like basis functions

Proceedings of Thirtieth Southeastern Symposium on System Theory ◽

10.1109/ssst.1998.660026 ◽

2002 ◽

Author(s):

L.A. Harrison ◽

W.E. Hutchcraft ◽

R.K. Gordon ◽

Jin-Fa Lee

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Richardson Extrapolation ◽

Basis Functions ◽

Finite Element Solution ◽

Element Solution ◽

Partial Differential

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A note on the design of hp-adaptive finite element methods for elliptic partial differential equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2004.04.009 ◽

2005 ◽

Vol 194 (2-5) ◽

pp. 229-243 ◽

Author(s):

Paul Houston ◽

Endre Süli

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Elliptic Partial Differential Equations ◽

Adaptive Finite Element ◽

Adaptive Finite Element Methods ◽

Partial Differential

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Non Uniform Weighted Extended B-Spline Finite Element Analysis of Non Linear Elliptic Partial Differential Equations

Differential Equations and Dynamical Systems ◽

10.1007/s12591-020-00557-1 ◽

2020 ◽

Author(s):

Ayan Chakraborty ◽

B. V. Rathish Kumar

Keyword(s):

Finite Element Analysis ◽

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Element Analysis ◽

B Spline ◽

Spline Finite Element

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Solution of elliptic partial differential equations by an optimization-based domain decomposition method

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00076-4 ◽

2000 ◽

Vol 113 (2-3) ◽

pp. 111-139 ◽

Author(s):

Max D. Gunzburger ◽

Matthias Heinkenschloss ◽

Hyesuk Kwon Lee

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Elliptic Partial Differential Equations ◽

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 ◽

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 ◽

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FETI Domain Decomposition Methods for Second Order Elliptic Partial Differential Equations

GAMM-Mitteilungen ◽

10.1002/gamm.201490036 ◽

2006 ◽

Vol 29 (2) ◽

pp. 319-341 ◽

Author(s):

Axel Klawonn

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Methods ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Domain Decomposition Methods ◽

Partial Differential

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Toward Extremely Scalable Nonlinear Domain Decomposition Methods for Elliptic Partial Differential Equations

SIAM Journal on Scientific Computing ◽

10.1137/140997907 ◽

2015 ◽

Vol 37 (6) ◽

pp. C667-C696 ◽

Author(s):

Axel Klawonn ◽

Martin Lanser ◽

Oliver Rheinbach

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Decomposition Methods ◽

Elliptic Partial Differential Equations ◽

Domain Decomposition Methods ◽

Partial Differential

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