A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions

Kenta Kobayashi

doi:10.1007/bf03186546

A constructive a priori error estimation for finite element discretizations in a non-convex domain using singular functions

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03186546 ◽

2009 ◽

Vol 26 (2-3) ◽

pp. 493-516 ◽

Cited By ~ 9

Author(s):

Kenta Kobayashi

Keyword(s):

Finite Element ◽

Error Estimation ◽

Convex Domain ◽

A Priori ◽

Singular Functions ◽

Finite Element Discretizations ◽

A Priori Error Estimation ◽

Element Discretizations

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimal Control Problems with Measure Data

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2019.1615948 ◽

2019 ◽

Vol 41 (2) ◽

pp. 158-191

Author(s):

Pratibha Shakya ◽

Rajen Kumar Sinha

Keyword(s):

Optimal Control ◽

Finite Element ◽

Optimal Control Problems ◽

A Priori ◽

Measure Data ◽

Control Problems ◽

Finite Element Discretizations ◽

Priori Error Estimates ◽

Parabolic Optimal Control ◽

Element Discretizations

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A priori error estimation of finite element models from first principles

Sadhana ◽

10.1007/bf02745801 ◽

1999 ◽

Vol 24 (3) ◽

pp. 199-214 ◽

Cited By ~ 2

Author(s):

Gangan Prathap

Keyword(s):

Finite Element ◽

Error Estimation ◽

First Principles ◽

A Priori ◽

Finite Element Models ◽

A Priori Error Estimation

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A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, II

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.08.014 ◽

2011 ◽

Vol 235 (5) ◽

pp. 1288-1310 ◽

Cited By ~ 4

Author(s):

L. Boulaajine ◽

M. Farhloul ◽

L. Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Polygonal Domain ◽

Elastodynamic Problem ◽

A Priori Error Estimation ◽

Element Method

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Explicit residual-based a posteriori error estimation for finite element discretizations of the Helmholtz equation: Computation of the constant and new measures of error estimator quality

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(95)00953-1 ◽

1996 ◽

Vol 131 (3-4) ◽

pp. 335-363 ◽

Cited By ~ 14

Author(s):

James R. Stewart ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Helmholtz Equation ◽

Error Estimation ◽

Posteriori Error ◽

Error Estimator ◽

A Posteriori ◽

Posteriori Error Estimation ◽

A Posteriori Error ◽

Finite Element Discretizations ◽

Element Discretizations

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An a priori error estimate for finite element discretizations in nonlinear elasticity for polyconvex materials under small loads

Numerische Mathematik ◽

10.1007/s00211-003-0481-x ◽

2004 ◽

Vol 97 (1) ◽

pp. 67-80 ◽

Cited By ~ 14

Author(s):

Carsten Carstensen ◽

Georg Dolzmann

Keyword(s):

Finite Element ◽

Error Estimate ◽

Nonlinear Elasticity ◽

A Priori ◽

A Priori Error Estimate ◽

Finite Element Discretizations ◽

Element Discretizations

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A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time

SIAM Journal on Control and Optimization ◽

10.1137/100793888 ◽

2011 ◽

Vol 49 (5) ◽

pp. 1961-1997 ◽

Cited By ~ 39

Author(s):

Dominik Meidner ◽

Rolf Rannacher ◽

Boris Vexler

Keyword(s):

Finite Element ◽

Error Estimates ◽

State Constraints ◽

Optimization Problems ◽

A Priori ◽

A Priori Error Estimates ◽

Pointwise State Constraints ◽

Finite Element Discretizations ◽

Priori Error Estimates ◽

Element Discretizations

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A priori error estimation for the dual mixed finite element method of the elastodynamic problem in a polygonal domain, I

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.03.013 ◽

2009 ◽

Vol 231 (1) ◽

pp. 447-472 ◽

Cited By ~ 3

Author(s):

L. Boulaajine ◽

M. Farhloul ◽

L. Paquet

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimation ◽

Mixed Finite Element ◽

A Priori ◽

Mixed Finite Element Method ◽

Polygonal Domain ◽

Elastodynamic Problem ◽

A Priori Error Estimation ◽

Domain I

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Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/s13160-020-00449-5 ◽

2021 ◽

Author(s):

Xuefeng Liu ◽

Mitsuhiro T. Nakao ◽

Chun’guang You ◽

Shin’ichi Oishi

Keyword(s):

Finite Element ◽

Error Estimation ◽

Stokes Equations ◽

A Priori ◽

Finite Element Solution ◽

Element Solution ◽

A Posteriori ◽

A Priori Error Estimation

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A priori error estimation of hp-finite element approximations of frictional contact problems with normal compliance

International Journal of Engineering Science ◽

10.1016/0020-7225(93)90104-3 ◽

1993 ◽

Vol 31 (6) ◽

pp. 927-952 ◽

Cited By ~ 15

Author(s):

C.Y. Lee ◽

J.Tinsley Oden

Keyword(s):

Finite Element ◽

Error Estimation ◽

Frictional Contact ◽

A Priori ◽

Contact Problems ◽

Normal Compliance ◽

Finite Element Approximations ◽

A Priori Error Estimation ◽

Hp Finite Element

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Correction: An Implicit Block ILU Smoother for Preconditioning of Newton-Krylov Solvers with Application in Finite-Element Discretizations

AIAA Scitech 2019 Forum ◽

10.2514/6.2019-0101.c1 ◽

2019 ◽

Author(s):

Behzad Reza Ahrabi ◽

Dimitri J. Mavriplis

Keyword(s):

Finite Element ◽

Finite Element Discretizations ◽

Element Discretizations

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