Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods

J. H. Adler; P. S. Vassilevski

doi:10.1137/130943091

Error Analysis for Constrained First-Order System Least-Squares Finite-Element Methods

SIAM Journal on Scientific Computing ◽

10.1137/130943091 ◽

2014 ◽

Vol 36 (3) ◽

pp. A1071-A1088 ◽

Cited By ~ 2

Author(s):

J. H. Adler ◽

P. S. Vassilevski

Keyword(s):

Finite Element ◽

Error Analysis ◽

Least Squares ◽

Finite Element Methods ◽

Order System ◽

First Order

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Hybrid First-Order System Least Squares Finite Element Methods with Application to Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/120868906 ◽

2013 ◽

Vol 51 (4) ◽

pp. 2214-2237 ◽

Cited By ~ 3

Author(s):

K. Liu ◽

T. A. Manteuffel ◽

S. F. McCormick ◽

J. W. Ruge ◽

L. Tang

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Stokes Equations ◽

Order System ◽

First Order

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Local error estimates for least-squares finite element methods for first-order system

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.10.029 ◽

2016 ◽

Vol 299 ◽

pp. 92-100

Author(s):

JaEun Ku

Keyword(s):

Finite Element ◽

Least Squares ◽

Error Estimates ◽

Finite Element Methods ◽

Order System ◽

Local Error ◽

First Order

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New a priori analysis of first‐order system least‐squares finite element methods for parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22376 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1777-1800

Author(s):

Thomas Führer ◽

Michael Karkulik

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

A Priori ◽

Order System ◽

Parabolic Problems ◽

First Order ◽

A Priori Analysis

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Adaptive First-Order System Least-Squares Finite Element Methods for Second-Order Elliptic Equations in Nondivergence Form

SIAM Journal on Numerical Analysis ◽

10.1137/19m1271099 ◽

2020 ◽

Vol 58 (6) ◽

pp. 3286-3308

Author(s):

Weifeng Qiu ◽

Shun Zhang

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Elliptic Equations ◽

Second Order ◽

Order System ◽

First Order ◽

Nondivergence Form ◽

Second Order Elliptic Equations

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Improving Conservation for First-Order System Least-Squares Finite-Element Methods

Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-1-4614-7172-1_1 ◽

2013 ◽

pp. 1-19 ◽

Cited By ~ 1

Author(s):

J. H. Adler ◽

P. S. Vassilevski

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Order System ◽

First Order

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Analysis of least squares finite element methods for a parameter-dependent first-order system*

Numerical Functional Analysis and Optimization ◽

10.1080/01630569808816823 ◽

1998 ◽

Vol 19 (1-2) ◽

pp. 191-213 ◽

Cited By ~ 5

Author(s):

Suh-Yuh Yang ◽

Jinn-Liang Liu

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Order System ◽

First Order ◽

Parameter Dependent

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A first-order system least-squares finite element method for the Poisson-Boltzmann equation

Journal of Computational Chemistry ◽

10.1002/jcc.21446 ◽

2009 ◽

pp. NA-NA ◽

Cited By ~ 7

Author(s):

Stephen D. Bond ◽

Jehanzeb Hameed Chaudhry ◽

Eric C. Cyr ◽

Luke N. Olson

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boltzmann Equation ◽

Least Squares ◽

Order System ◽

First Order ◽

Poisson Boltzmann ◽

Poisson Boltzmann Equation ◽

Element Method

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Discrete Energy Laws for the First-Order System Least-Squares Finite-Element Approach

Large-Scale Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/978-3-319-73441-5_1 ◽

2018 ◽

pp. 3-20

Author(s):

J. H. Adler ◽

I. Lashuk ◽

S. P. MacLachlan ◽

L. T. Zikatanov

Keyword(s):

Finite Element ◽

Least Squares ◽

Order System ◽

Discrete Energy ◽

Finite Element Approach ◽

First Order ◽

Element Approach

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A First-Order System Least Squares Finite Element Method for the Shallow Water Equations

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903438124 ◽

2005 ◽

Vol 42 (6) ◽

pp. 2387-2407 ◽

Cited By ~ 8

Author(s):

Gerhard Starke

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Shallow Water ◽

Shallow Water Equations ◽

Order System ◽

First Order ◽

Element Method

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FINITE ELEMENT APPROXIMATION OF THE DISCRETE FIRST-ORDER SYSTEM LEAST SQUARES FOR ELLIPTIC PROBLEMS

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2005.20.3.563 ◽

2005 ◽

Vol 20 (3) ◽

pp. 563-578

Author(s):

Byeong-Chun SHIN

Keyword(s):

Finite Element ◽

Least Squares ◽

Elliptic Problems ◽

Finite Element Approximation ◽

Order System ◽

Element Approximation ◽

First Order

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