Div First-Order System LL* (FOSLL*) for Second-Order Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/140971890 ◽

2015 ◽

Vol 53 (1) ◽

pp. 405-420 ◽

Author(s):

Zhiqiang Cai ◽

Rob Falgout ◽

Shun Zhang

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Order System ◽

Partial Differential ◽

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First-Order System $\CL\CL^$ (FOSLL): Scalar Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900388049 ◽

2001 ◽

Vol 39 (4) ◽

pp. 1418-1445 ◽

Author(s):

Z. Cai ◽

T. A. Manteuffel ◽

S. F. McCormick ◽

J. Ruge

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Order System ◽

Partial Differential ◽

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First-Order System Least Squares for Second-Order Partial Differential Equations: Part II

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142994266066 ◽

1997 ◽

Vol 34 (2) ◽

pp. 425-454 ◽

Author(s):

Zhiqiang Cai ◽

Thomas A. Manteuffel ◽

Stephen F. McCormick

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

Second Order ◽

Order System ◽

Partial Differential ◽

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Multilevel First-Order System Least Squares for Nonlinear Elliptic Partial Differential Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404406 ◽

2003 ◽

Vol 41 (6) ◽

pp. 2197-2209 ◽

Author(s):

A. L. Codd ◽

T. A. Manteuffel ◽

S. F. McCormick

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

Elliptic Partial Differential Equations ◽

Order System ◽

Partial Differential ◽

First Order ◽

Nonlinear Elliptic

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First-Order System Least Squares for Second-Order Partial Differential Equations: Part I

SIAM Journal on Numerical Analysis ◽

10.1137/0731091 ◽

1994 ◽

Vol 31 (6) ◽

pp. 1785-1799 ◽

Author(s):

Z. Cai ◽

R. Lazarov ◽

T. A. Manteuffel ◽

S. F. McCormick

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

Second Order ◽

Order System ◽

Partial Differential ◽

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Extrapolation applied to the method of characteristics for a first order system of two partial differential equations

Numerische Mathematik ◽

10.1007/bf01397373 ◽

1975 ◽

Vol 24 (4) ◽

pp. 331-353 ◽

Author(s):

W. Busch ◽

R. Esser ◽

W. Hackbusch ◽

U. Herrmann

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Method Of Characteristics ◽

Order System ◽

Partial Differential ◽

First Order ◽

The Method Of Characteristics

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Solvability of the Dirichlet problem in $H_0^{1,p,\lambda } (\Omega )$ for a class of linear second order elliptic partial differential equations

Equadiff 99 ◽

10.1142/9789812792617_0124 ◽

2000 ◽

pp. 609-611

Author(s):

M. A. Ragusa

Keyword(s):

Dirichlet Problem ◽

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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A population of linear, second order, elliptic partial differential equations on rectangular domains. I, II

Mathematics of Computation ◽

10.1090/s0025-5718-1981-0606507-2 ◽

1981 ◽

Vol 36 (154) ◽

pp. 475-475

Author(s):

John R. Rice ◽

Elias N. Houstis ◽

Wayne R. Dyksen

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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Compact half step approximation in exponential form for the system of 2D second-order quasi-linear elliptic partial differential equations

The Journal of Difference Equations and Applications ◽

10.1080/10236198.2019.1624737 ◽

2019 ◽

Vol 25 (5) ◽

pp. 716-749 ◽

Author(s):

R. K. Mohanty ◽

Geetan Manchanda ◽

Arshad Khan

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Exponential Form ◽

Partial Differential ◽

Step Approximation

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A least-squares method for second order noncoercive elliptic partial differential equations

Mathematics of Computation ◽

10.1090/s0025-5718-06-01906-5 ◽

2007 ◽

Vol 76 (257) ◽

pp. 97-115 ◽

Author(s):

JaEun Ku

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Least Squares ◽

Least Squares Method ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential

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Fundamental solutions for second order linear elliptic partial differential equations

Computational Mechanics ◽

10.1007/s004660050335 ◽

1998 ◽

Vol 22 (1) ◽

pp. 26-31 ◽

Author(s):

D. L. Clements

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Fundamental Solutions ◽

Elliptic Partial Differential Equations ◽

Second Order ◽

Partial Differential ◽

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