Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems

A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto "upwinded" polynomials. The err...

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Vydané v:SIAM journal on numerical analysis Ročník 21; číslo 5; s. 910 - 954
Hlavní autori: Szymczak, W. G., Babuška, I.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Philadelphia, PA Society for Industrial and Applied Mathematics 01.10.1984
Predmet:
Approximation
Boundary layers
Convection
Degrees of polynomials
Error rates
Estimates
Estimation methods
Estimators
Exact sciences and technology
Finite element analysis
Finite element method
Greens function
Mathematics
Methods
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Polynomials
Sciences and techniques of general use
Non linear equation
Finite element method
Second order equation
Boundary value problem
Error estimation
Differential equation
ISSN:0036-1429, 1095-7170
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Abstract A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto "upwinded" polynomials. The error is measured in the Lp mesh dependent norm. The method is shown to be quasi-optimal, provided that the input data is piecewise smooth--a reasonable assumption in practice. A posteriori error estimates are derived having the property that the effectivity index θ = (error estimate/true error) converges to one as the maximum mesh size goes to zero. These error estimates are composed of locally computable error indicators, providing for an adaptive mesh refinement strategy. Numerical results show that θ is nearly one even on coarse meshes, and optimal rates of convergence are attained by the adaptive procedure. The robustness of the algorithm is tested on a nonlinear turning point problem modeling flow through an expanding duct.
AbstractList A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting $L$-spline basis functions onto "upwinded" polynomials. The error is measured in the $L_p$ mesh dependent norm. The method is shown to be quasi-optimal, provided that the input data is piecewise smooth--a reasonable assumption in practice. A posteriors error estimates are derived having the property that the effectivity index $\theta = $ (error estimate/true error) converges to one as the maximum mesh size goes to zero. These error estimates are composed of locally computable error indicators, providing for an adaptive mesh refinement strategy. Numerical results show that $\theta $ is nearly one even on coarse meshes, and optimal rates of convergence are attained by the adaptive procedure. The robustness of the algorithm is tested on a nonlinear turning point problem modeling flow through an expanding duct.
A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are used for the trial space. The test space is formed by locally projecting L-spline basis functions onto "upwinded" polynomials. The error is measured in the Lp mesh dependent norm. The method is shown to be quasi-optimal, provided that the input data is piecewise smooth--a reasonable assumption in practice. A posteriori error estimates are derived having the property that the effectivity index θ = (error estimate/true error) converges to one as the maximum mesh size goes to zero. These error estimates are composed of locally computable error indicators, providing for an adaptive mesh refinement strategy. Numerical results show that θ is nearly one even on coarse meshes, and optimal rates of convergence are attained by the adaptive procedure. The robustness of the algorithm is tested on a nonlinear turning point problem modeling flow through an expanding duct.
Author Szymczak, W. G.
Babuška, I.
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Cites_doi 10.1016/0045-7825(82)90094-9
10.1016/0045-7825(82)90044-5
10.1115/1.3157608
10.1145/355887.355891
10.1007/BF01463997
10.1093/imanum/1.4.439
10.1016/0045-7930(81)90026-8
10.1002/nme.1620121113
10.1002/nme.1620111207
10.1016/0021-9991(79)90086-X
10.1137/0715049
10.1002/nme.1620151004
10.1002/mma.1670040134
10.1016/0045-7825(78)90012-9
10.1002/nme.1620110113
10.1090/trans2/020/06
10.1002/nme.1620100617
10.1090/S0025-5718-1984-0736447-2
10.1063/1.3034086
10.1016/S0304-0208(08)71104-6
10.1090/S0025-5718-1978-0483484-9
10.1115/1.3157609
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Keywords Non linear equation
Finite element method
Second order equation
Boundary value problem
Error estimation
Differential equation
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References Cole J. D. (R15) 1981
Babuška I. (R6) 1980
Protter M. H. (R39) 1967
Visik M. I. (R49) 1962; 20
Babuška Ivo (R2) 1972
Eckhaus Wiktor (R20) 1979
R40
R21
R42
R23
Zienkiewicz O. C. (R50) 1978
R25
R24
Lorenz J. (R34) 1981
Heinrich J. C. (R26) 1979; 34
R29
R28
Babuška I. (R5) 1979; 33
Hemker P. W. (R27) 1977
R3
R4
De Groen P. P. N. (R17) 1979
R7
R8
R9
R10
R11
R33
R14
R13
R18
Stakgold Ivar (R44) 1967
R19
Griffiths D. F. (R22) 1979; 34
References_xml – start-page: 1
  volume-title: The mathematical foundations of the finite element method with applications to partial differential equations (Proc. Sympos., Univ. Maryland, Baltimore, Md., 1972)
  year: 1972
  ident: R2
– start-page: 67
  volume-title: Computational methods in nonlinear mechanics (Proc. Second Internat. Conf., Univ. Texas, Austin, Tex., 1979)
  year: 1980
  ident: R6
– ident: R7
  doi: 10.1016/0045-7825(82)90094-9
– ident: R8
  doi: 10.1016/0045-7825(82)90044-5
– volume-title: Maximum principles in differential equations
  year: 1967
  ident: R39
– ident: R18
  doi: 10.1115/1.3157608
– ident: R42
  doi: 10.1145/355887.355891
– volume: 33
  start-page: 435
  year: 1979
  ident: R5
  publication-title: Math. Comp.
– volume-title: Perturbation methods in applied mathematics
  year: 1981
  ident: R15
– ident: R3
  doi: 10.1007/BF01463997
– ident: R9
  doi: 10.1093/imanum/1.4.439
– volume-title: Asymptotic analysis of singular perturbations
  year: 1979
  ident: R20
– volume: 34
  start-page: 105
  volume-title: Finite element methods for convection dominated flows (Papers, Winter Ann. Meeting Amer. Soc. Mech. Engrs., New York, 1979)
  year: 1979
  ident: R26
– start-page: 1
  volume-title: Finite Elements in Fluids
  year: 1978
  ident: R50
– ident: R21
  doi: 10.1016/0045-7930(81)90026-8
– ident: R14
  doi: 10.1002/nme.1620121113
– ident: R25
  doi: 10.1002/nme.1620111207
– ident: R28
  doi: 10.1016/0021-9991(79)90086-X
– volume-title: Zur Theorie Und Numerik von Differenzenverfahren für Singulare Störungen
  year: 1981
  ident: R34
– ident: R4
  doi: 10.1137/0715049
– ident: R10
  doi: 10.1002/nme.1620151004
– ident: R40
  doi: 10.1002/mma.1670040134
– ident: R23
  doi: 10.1016/0045-7825(78)90012-9
– ident: R24
  doi: 10.1002/nme.1620110113
– volume: 20
  start-page: 239
  year: 1962
  ident: R49
  publication-title: Amer. Math. Soc. Transl. (2)
  doi: 10.1090/trans2/020/06
– volume-title: A numerical study of stiff two-point boundary problems
  year: 1977
  ident: R27
– start-page: 217
  volume-title: Numerical analysis of singular perturbation problems (Proc. Conf., Math. Inst., Catholic Univ., Nijmegen, 1978)
  year: 1979
  ident: R17
– ident: R13
  doi: 10.1002/nme.1620100617
– volume: 34
  start-page: 91
  volume-title: Finite element methods for convection dominated flows (Papers, Winter Ann. Meeting Amer. Soc. Mech. Engrs., New York, 1979)
  year: 1979
  ident: R22
– ident: R11
  doi: 10.1090/S0025-5718-1984-0736447-2
– volume-title: Boundary value problems of mathematical physics. Vol. I
  year: 1967
  ident: R44
  doi: 10.1063/1.3034086
– ident: R29
  doi: 10.1016/S0304-0208(08)71104-6
– ident: R33
  doi: 10.1090/S0025-5718-1978-0483484-9
– ident: R19
  doi: 10.1115/1.3157609
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Snippet A detailed analysis is performed for a finite element method applied to the general one-dimensional convection diffusion problem. Piecewise polynomials are...
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StartPage 910
SubjectTerms Approximation
Boundary layers
Convection
Degrees of polynomials
Error rates
Estimates
Estimation methods
Estimators
Exact sciences and technology
Finite element analysis
Finite element method
Greens function
Mathematics
Methods
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Polynomials
Sciences and techniques of general use
Title Adaptivity and Error Estimation for the Finite Element Method Applied to Convection Diffusion Problems
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