The Weighted Error Estimation of Finite Element Method for Two-Point Boundary Value Problem

In this paper, the weighed error estimation of finite element method for the two-point boundary value problems are discussed. Respectively, the norm estimation of the H1 and L2 are obtained.

On the Error Estimation of the Finite Element Method for the Boundary Value Problems with Singularity in the Lebesgue Weighted Space

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.809582 ◽

2013 ◽

Vol 34 (12) ◽

pp. 1328-1347 ◽

Cited By ~ 19

Author(s):

V. A. Rukavishnikov ◽

H. I. Rukavishnikova

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Error Estimation ◽

Weighted Space ◽

Boundary Value ◽

Dynamic programming treatment of the finite element method for two-point boundary value problems †

International Journal of Computer Mathematics ◽

10.1080/00207168208803332 ◽

1982 ◽

Vol 12 (2) ◽

pp. 137-151

Author(s):

N.G. Zamani ◽

W.R. Smith

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Dynamic Programming ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

TAYLOR EXPANSION IN THE FINITE ELEMENT METHOD FOR A TWO-POINT BOUNDARY VALUE PROBLEM

Demonstratio Mathematica ◽

10.1515/dema-1976-0314 ◽

1976 ◽

Vol 9 (3) ◽

Author(s):

Tomasz Marks

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problem ◽

Taylor Expansion ◽

Boundary Value ◽

Point Boundary ◽

A balanced finite element method for a system of singularly perturbed reaction-diffusion two-point boundary value problems

Numerical Algorithms ◽

10.1007/s11075-015-9969-6 ◽

2015 ◽

Vol 70 (4) ◽

pp. 691-707 ◽

Cited By ~ 3

Author(s):

Runchang Lin ◽

Martin Stynes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Point Boundary ◽

A Two-Point Boundary Value Problem by Using a Mixed Finite Element Method

Applied Mathematics ◽

10.4236/am.2015.612177 ◽

2015 ◽

Vol 06 (12) ◽

pp. 1996-2003

Author(s):

Pedro Pablo Cárdenas Alzate ◽

José Rodrigo González Granada

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problem ◽

Mixed Finite Element ◽

Boundary Value ◽

Mixed Finite Element Method ◽

Point Boundary ◽

Superconvergence analysis of least-squares mixed finite element method for second-order non-self-adjoint two-point boundary value problems

Communications in Numerical Methods in Engineering ◽

10.1002/(sici)1099-0887(199811)14:11<1027::aid-cnm206>3.0.co;2-c ◽

1998 ◽

Vol 14 (11) ◽

pp. 1027-1037

Author(s):

Chunjia Bi ◽

Likang Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Boundary Value Problems ◽

Mixed Finite Element ◽

Boundary Value ◽

Mixed Finite Element Method ◽

Second Order ◽

Point Boundary ◽

Singular Two-Point Boundary Value Problems of Finite Element method

International Journal of Science and Research (IJSR) ◽

10.21275/art2016679 ◽

2016 ◽

Vol 5 (8) ◽

pp. 64-67

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

A finite element method with a large mesh-width for a stiff two-point boundary value problem

Journal of Computational and Applied Mathematics ◽

10.1016/0771-050x(81)90001-2 ◽

1981 ◽

Vol 7 (1) ◽

pp. 3-15 ◽

Cited By ~ 12

Author(s):

P.P.N. de Groen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problem ◽

Boundary Value ◽

Point Boundary ◽

Mesh Width ◽

A novel finite element method for two-point boundary value problems

Mathematics and Computers in Simulation ◽

10.1016/0378-4754(78)90069-1 ◽

1978 ◽

Vol 20 (3) ◽

pp. 197-203

Author(s):

Z.J. Csendes

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Boundary Value ◽

Point Boundary ◽

Proceedings of the 2nd International Conference on Computer Science and Application Engineering - CSAE '18 ◽

The Finite Element Method and Its Computational Effectiveness for Solving Semilinear Singularly Perturbed Two-point Boundary Value Problems Using Shishkin Mesh

10.1145/3207677.3278011 ◽

2018 ◽

Author(s):

Zhiguang Xiong ◽

Anfeng Chi ◽

Yi Wang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Boundary Value Problems ◽

Boundary Value ◽

Shishkin Mesh ◽

Singularly Perturbed ◽

Point Boundary ◽