A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace--Beltrami Operator

Andrea Bonito; Alan Demlow; Justin Owen

doi:10.1137/17m1163311

A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace--Beltrami Operator

SIAM Journal on Numerical Analysis ◽

10.1137/17m1163311 ◽

2018 ◽

Vol 56 (5) ◽

pp. 2963-2988 ◽

Cited By ~ 2

Author(s):

Andrea Bonito ◽

Alan Demlow ◽

Justin Owen

Keyword(s):

Finite Element ◽

Error Estimates ◽

A Priori ◽

Beltrami Operator ◽

A Priori Error Estimates ◽

Eigenvalues And Eigenfunctions ◽

Finite Element Approximations ◽

Priori Error Estimates

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Robust and Local Optimal A Priori Error Estimates for Interface Problems with Low Regularity: Mixed Finite Element Approximations

Journal of Scientific Computing ◽

10.1007/s10915-020-01284-z ◽

2020 ◽

Vol 84 (2) ◽

Author(s):

Shun Zhang

Keyword(s):

Finite Element ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

Interface Problems ◽

A Priori Error Estimates ◽

Low Regularity ◽

Finite Element Approximations ◽

Priori Error Estimates

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A priori error estimates for finite element approximations of parabolic stochastic partial differential equations with generalized random variables

Stochastics ◽

10.1080/17442508.2014.989526 ◽

2015 ◽

Vol 87 (4) ◽

pp. 537-561

Author(s):

Christophe Audouze ◽

Prasanth B. Nair

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Stochastic Partial Differential Equations ◽

A Priori ◽

Random Variables ◽

A Priori Error Estimates ◽

Finite Element Approximations ◽

Priori Error Estimates

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Finite Element Approximations to the System of Shallow Water Equations, Part II: Discrete-Time A Priori Error Estimates

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142996314159 ◽

1998 ◽

Vol 36 (1) ◽

pp. 226-250 ◽

Cited By ~ 18

Author(s):

S. Chippada ◽

C. N. Dawson ◽

M. L. MartÍnez-Canales ◽

M. F. Wheeler

Keyword(s):

Finite Element ◽

Shallow Water ◽

Error Estimates ◽

Discrete Time ◽

Shallow Water Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Approximations ◽

Priori Error Estimates

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A Priori Error Estimates for Mixed Finite Element Approximations of the Acoustic Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142901388068 ◽

2002 ◽

Vol 40 (5) ◽

pp. 1698-1715 ◽

Cited By ~ 31

Author(s):

Eleanor W. Jenkins ◽

Ba'eatrice Rivia`ere ◽

Mary F. Wheeler

Keyword(s):

Finite Element ◽

Wave Equation ◽

Acoustic Wave ◽

Error Estimates ◽

Mixed Finite Element ◽

A Priori ◽

A Priori Error Estimates ◽

Acoustic Wave Equation ◽

Finite Element Approximations ◽

Priori Error Estimates

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A priori error estimates for finite element approximations of regularized level set flows in higher norms

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.09.008 ◽

2022 ◽

Vol 171 ◽

pp. 307-328

Author(s):

Axel Kröner ◽

Heiko Kröner

Keyword(s):

Finite Element ◽

Error Estimates ◽

Level Set ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Approximations ◽

Priori Error Estimates

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SOME A PRIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF ELLIPTIC AND PARABOLIC LINEAR STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS

International Journal for Uncertainty Quantification ◽

10.1615/int.j.uncertaintyquantification.2014007972 ◽

2014 ◽

Vol 4 (5) ◽

pp. 423-454 ◽

Cited By ~ 1

Author(s):

Christophe Audouze ◽

Prasanth Nair

Keyword(s):

Finite Element ◽

Partial Differential Equations ◽

Differential Equations ◽

Error Estimates ◽

Stochastic Partial Differential Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Partial Differential ◽

Finite Element Approximations ◽

Priori Error Estimates

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Finite Element Approximations to the System of Shallow Water Equations I: Continuous-Time A Priori Error Estimates

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142995296515 ◽

1998 ◽

Vol 35 (2) ◽

pp. 692-711 ◽

Cited By ~ 21

Author(s):

S. Chippada ◽

C. N. Dawson ◽

M. L. Martinez ◽

M. F. Wheeler

Keyword(s):

Finite Element ◽

Shallow Water ◽

Error Estimates ◽

Shallow Water Equations ◽

Continuous Time ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Approximations ◽

Priori Error Estimates

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A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems

Constrained Optimization and Optimal Control for Partial Differential Equations ◽

10.1007/978-3-0348-0133-1_23 ◽

2011 ◽

pp. 445-466

Author(s):

Dominik Meidner ◽

Boris Vexler

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Estimates ◽

Optimal Control Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Finite Element Discretization ◽

Element Discretization ◽

Priori Error Estimates ◽

Parabolic Optimal Control

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A Priori Error Estimates for Finite Element Methods forH(2,1)-Elliptic Equations

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.811600 ◽

2013 ◽

Vol 35 (2) ◽

pp. 153-176 ◽

Cited By ~ 2

Author(s):

Thomas Apel ◽

Thomas G. Flaig ◽

Serge Nicaise

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Elliptic Equations ◽

A Priori ◽

A Priori Error Estimates ◽

Priori Error Estimates

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A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation

SIAM Journal on Numerical Analysis ◽

10.1137/19m1240873 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1897-1918 ◽

Cited By ~ 1

Author(s):

Vanja Nikolić ◽

Barbara Wohlmuth

Keyword(s):

Finite Element ◽

Wave Equation ◽

Acoustic Wave ◽

Error Estimates ◽

A Priori ◽

Finite Element Approximation ◽

A Priori Error Estimates ◽

Element Approximation ◽

Acoustic Wave Equation ◽

Priori Error Estimates

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