An Adaptive Least-Squares FEM for Linear Elasticity with Optimal Convergence Rates

SIAM Journal on Numerical Analysis ◽

10.1137/16m1083797 ◽

2018 ◽

Vol 56 (1) ◽

pp. 428-447 ◽

Author(s):

P. Bringmann ◽

C. Carstensen ◽

G. Starke

Keyword(s):

Least Squares ◽

Linear Elasticity ◽

Convergence Rates ◽

Optimal Convergence ◽

Optimal Convergence Rates

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h-adaptive least-squares finite element methods for the 2D Stokes equations of any order with optimal convergence rates

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.02.019 ◽

2017 ◽

Vol 74 (8) ◽

pp. 1923-1939 ◽

Author(s):

P. Bringmann ◽

C. Carstensen

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Convergence Rates ◽

Stokes Equations ◽

Optimal Convergence ◽

Optimal Convergence Rates

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An adaptive least-squares FEM for the Stokes equations with optimal convergence rates

Numerische Mathematik ◽

10.1007/s00211-016-0806-1 ◽

2016 ◽

Vol 135 (2) ◽

pp. 459-492 ◽

Author(s):

P. Bringmann ◽

C. Carstensen

Keyword(s):

Least Squares ◽

Convergence Rates ◽

Stokes Equations ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2016.09.005 ◽

2017 ◽

Vol 34 ◽

pp. 363-378 ◽

Author(s):

Wenjun Wang

Keyword(s):

Convergence Rates ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Potential Force ◽

Navier Stokes Equations ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Optimal convergence rates for some discrete projection methods

Applied Mathematics and Computation ◽

10.1016/s0096-3003(97)10131-x ◽

1998 ◽

Vol 96 (2-3) ◽

pp. 237-271 ◽

Author(s):

Michael Golberg ◽

Harold Bowman

Keyword(s):

Convergence Rates ◽

Projection Methods ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Discrete Projection

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Optimal convergence rates ofhpmortar finite element methods for second-order elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000158 ◽

2000 ◽

Vol 34 (3) ◽

pp. 591-608 ◽

Author(s):

Faker Ben Belgacem ◽

Padmanabhan Seshaiyer ◽

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convergence Rates ◽

Elliptic Problems ◽

Second Order ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Second Order Elliptic Problems

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Optimal convergence rates to nonlinear diffusion waves for the compressible Euler–Poisson system with damping

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2010.04.047 ◽

2010 ◽

Vol 370 (2) ◽

pp. 511-529

Author(s):

Hongfang Ma

Keyword(s):

Nonlinear Diffusion ◽

Convergence Rates ◽

Poisson System ◽

Optimal Convergence ◽

Diffusion Waves ◽

Compressible Euler ◽

Optimal Convergence Rates ◽

Nonlinear Diffusion Waves

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Parameter choice by discrepancy principles for ill-posed problems leading to optimal convergence rates

Journal of Optimization Theory and Applications ◽

10.1007/bf02191771 ◽

1994 ◽

Vol 83 (1) ◽

pp. 217-222 ◽

Author(s):

S. George ◽

M. T. Nair

Keyword(s):

Convergence Rates ◽

Parameter Choice ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

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Mixed Schemes for Fourth-Order DIV Equations

Computational Methods in Applied Mathematics ◽

10.1515/cmam-2018-0003 ◽

2019 ◽

Vol 19 (2) ◽

pp. 341-357

Author(s):

Ronghong Fan ◽

Yanru Liu ◽

Shuo Zhang

Keyword(s):

Theoretical Analysis ◽

Fourth Order ◽

Convergence Rates ◽

Mixed Formulation ◽

Optimal Convergence ◽

Mixed Formulations ◽

Optimal Convergence Rates

AbstractIn this paper, stable mixed formulations are designed and analyzed for the quad div problems under two frameworks presented in [23] and [22], respectively. Analogue discretizations are given with respect to the mixed formulation, and optimal convergence rates are observed, which confirm the theoretical analysis.

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An adaptive algorithm for multivariate approximation giving optimal convergence rates

Journal of Approximation Theory ◽

10.1016/0021-9045(79)90021-2 ◽

1979 ◽

Vol 25 (4) ◽

pp. 337-359 ◽

Author(s):

Carl de Boor ◽

John R. Rice

Keyword(s):

Adaptive Algorithm ◽

Convergence Rates ◽

Multivariate Approximation ◽

Optimal Convergence ◽

Optimal Convergence Rates

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Optimal convergence rates, Bahadur representation, and asymptotic normality of partitioning estimators

Journal of Econometrics ◽

10.1016/j.jeconom.2013.02.002 ◽

2013 ◽

Vol 174 (2) ◽

pp. 127-143 ◽

Author(s):

Matias D. Cattaneo ◽

Max H. Farrell

Keyword(s):

Asymptotic Normality ◽

Convergence Rates ◽

Bahadur Representation ◽

Optimal Convergence ◽

Optimal Convergence Rates

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