Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements

A. H. Schatz; L. B. Wahlbin

doi:10.2307/2006291

Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 2, Refinements

Mathematics of Computation ◽

10.2307/2006291 ◽

1979 ◽

Vol 33 (146) ◽

pp. 465 ◽

Cited By ~ 2

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Norm ◽

The Finite Element Method ◽

Norm Estimates ◽

Polygonal Domains ◽

Element Method

Download Full-text

Maximum norm estimates in the finite element method on plane polygonal domains. I

Mathematics of Computation ◽

10.1090/s0025-5718-1978-0502065-1 ◽

1978 ◽

Vol 32 (141) ◽

pp. 73-73 ◽

Cited By ~ 3

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Norm ◽

The Finite Element Method ◽

Norm Estimates ◽

Polygonal Domains ◽

Element Method

Download Full-text

Maximum Norm Estimates in the Finite Element Method on Plane Polygonal Domains. Part 1

Mathematics of Computation ◽

10.2307/2006259 ◽

1978 ◽

Vol 32 (141) ◽

pp. 73 ◽

Cited By ~ 3

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Norm ◽

The Finite Element Method ◽

Norm Estimates ◽

Polygonal Domains ◽

Element Method

Download Full-text

Maximum norm estimates in the finite element method on plane polygonal domains. II. Refinements

Mathematics of Computation ◽

10.1090/s0025-5718-1979-0502067-6 ◽

1979 ◽

Vol 33 (146) ◽

pp. 465-465

Author(s):

A. H. Schatz ◽

L. B. Wahlbin

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Norm ◽

The Finite Element Method ◽

Norm Estimates ◽

Polygonal Domains ◽

Element Method

Download Full-text

Maximum-norm stability of the finite element method for the Neumann problem in nonconvex polygons with locally refined mesh

10.1090/mcom/3724 ◽

2021 ◽

Author(s):

Buyang Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Neumann Problem ◽

Maximum Norm ◽

The Finite Element Method ◽

The Neumann Problem ◽

Element Method

Download Full-text

Maximum Norm Estimates for Energy-Corrected Finite Element Method

Lecture Notes in Computational Science and Engineering - Numerical Mathematics and Advanced Applications ENUMATH 2017 ◽

10.1007/978-3-319-96415-7_92 ◽

2019 ◽

pp. 973-981 ◽

Cited By ~ 1

Author(s):

Piotr Swierczynski ◽

Barbara Wohlmuth

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Norm ◽

Norm Estimates ◽

Element Method

Download Full-text

Maximum norm error estimates for the finite element method allowing highly refined grids

Recent Advances in Adaptive Computation - Contemporary Mathematics ◽

10.1090/conm/383/07161 ◽

2005 ◽

pp. 133-139

Author(s):

Alfred H. Schatz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Error Estimates ◽

Maximum Norm ◽

The Finite Element Method ◽

Norm Error ◽

Element Method

Download Full-text

On the L2 error for the p-version of the finite element method over polygonal domains

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90165-g ◽

1992 ◽

Vol 97 (2) ◽

pp. 233-243 ◽

Cited By ~ 11

Author(s):

Soren Jensen ◽

Manil Suri

Keyword(s):

Finite Element Method ◽

Finite Element ◽

The Finite Element Method ◽

Polygonal Domains ◽

Element Method

Download Full-text

The finite element method for the electric field of Maxwell's boundary value problem in polygonal domains of plane

Annales Academiae Scientiarum Fennicae Series A I Mathematica ◽

10.5186/aasfm.1981.0621 ◽

1981 ◽

Vol 6 ◽

pp. 63-75

Author(s):

Jukka Saranen

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Electric Field ◽

Boundary Value Problem ◽

Boundary Value ◽

The Finite Element Method ◽

Polygonal Domains ◽

Element Method

Download Full-text

A weak discrete maximum principle and stability of the finite element method in $L\sb{\infty }$ on plane polygonal domains. I

Mathematics of Computation ◽

10.1090/s0025-5718-1980-0551291-3 ◽

1980 ◽

Vol 34 (149) ◽

pp. 77-77 ◽

Cited By ~ 1

Author(s):

Alfred H. Schatz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Maximum Principle ◽

Discrete Maximum Principle ◽

The Finite Element Method ◽

Polygonal Domains ◽

Element Method

Download Full-text

Predictor–corrector p- and hp-versions of the finite element method for Poisson’s equation in polygonal domains

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.01.027 ◽

2018 ◽

Vol 333 ◽

pp. 74-93 ◽

Cited By ~ 3

Author(s):

B. Nkemzi ◽

S. Tanekou

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Poisson’S Equation ◽

The Finite Element Method ◽

Poisson's Equation ◽

Polygonal Domains ◽

Predictor Corrector ◽

Element Method

Download Full-text