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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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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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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Finite element approximations of general fully nonlinear second order elliptic partial differential equations based on the vanishing moment method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2014.07.023 ◽

2014 ◽

Vol 68 (12) ◽

pp. 2182-2204 ◽

Author(s):

Xiaobing Feng ◽

Michael Neilan

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Moment Method ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Fully Nonlinear ◽

Finite Element Approximations ◽

Vanishing Moment ◽

Vanishing Moment Method

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A Comparison of Domain Decomposition Techniques for Elliptic Partial Differential Equations and their Parallel Implementation

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0908020 ◽

1987 ◽

Vol 8 (2) ◽

pp. s166-s202 ◽

Author(s):

David E. Keyes ◽

William D. Gropp

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Domain Decomposition ◽

Parallel Implementation ◽

Elliptic Partial Differential Equations ◽

Decomposition Techniques ◽

Partial Differential

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Augmented immersed finite element methods for some elliptic partial differential equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2015.1005010 ◽

2015 ◽

Vol 93 (3) ◽

pp. 540-558 ◽

Author(s):

Haifeng Ji ◽

Jinru Chen ◽

Zhilin Li

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Finite Element Methods ◽

Elliptic Partial Differential Equations ◽

Partial Differential ◽

Immersed Finite Element ◽

Immersed Finite Element Methods

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The Finite Element Approximation of Semilinear Elliptic Partial Differential Equations with Critical Exponents in the Cube

SIAM Journal on Scientific Computing ◽

10.1137/s1064827596312134 ◽

1999 ◽

Vol 20 (5) ◽

pp. 1875-1904 ◽

Author(s):

C. J. Budd ◽

A. R. Humphries ◽

A. J. Wathen

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Critical Exponents ◽

Finite Element Approximation ◽

Elliptic Partial Differential Equations ◽

Element Approximation ◽

Partial Differential ◽

Semilinear Elliptic

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