A new error analysis for discontinuous finite element methods for linear elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-10-02360-4 ◽

2010 ◽

Vol 79 (272) ◽

pp. 2169-2169 ◽

Author(s):

Thirupathi Gudi

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Discontinuous Finite Element

Download Full-text

Low Regularity Error Analysis for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0120 ◽

2021 ◽

Vol 14 (3) ◽

pp. 613-623

Author(s):

Xiu Ye & Shangyou Zhang

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Weak Galerkin ◽

Galerkin Finite Element ◽

Low Regularity ◽

Galerkin Finite Element Methods ◽

Second Order Elliptic Problems

Download Full-text

An Error Analysis of Discontinuous Finite Element Methods for the Optimal Control Problems Governed by Stokes Equation

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1538158 ◽

2018 ◽

Vol 40 (4) ◽

pp. 421-460

Author(s):

Asha K. Dond ◽

Thirupathi Gudi ◽

Ramesh C.H. Sau

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Stokes Equation ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Discontinuous Finite Element

Download Full-text

Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/1988220303711 ◽

1988 ◽

Vol 22 (3) ◽

pp. 371-387 ◽

Author(s):

Ricardo G. Durán

Keyword(s):

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

Download Full-text

A new family of discontinuous finite element methods for elliptic problems in the whole space

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5526 ◽

2019 ◽

Vol 42 (9) ◽

pp. 2949-2973

Author(s):

Mondher Benjemaa ◽

Amal Nasri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Discontinuous Finite Element ◽

Download Full-text

A FrameWork for the Error Analysis of Discontinuous Finite Element Methods for Elliptic Optimal Control Problems and Applications toC0IP Methods

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2015.1068182 ◽

2015 ◽

Vol 36 (11) ◽

pp. 1388-1419 ◽

Author(s):

Sudipto Chowdhury ◽

Thirupathi Gudi ◽

A. K. Nandakumaran

Keyword(s):

Optimal Control ◽

Finite Element ◽

Error Analysis ◽

Finite Element Methods ◽

Optimal Control Problems ◽

Control Problems ◽

Discontinuous Finite Element ◽

Elliptic Optimal Control Problems ◽

Elliptic Optimal Control

Download Full-text

A stabilized discontinuous finite element method for elliptic problems

Numerical Linear Algebra with Applications ◽

10.1002/nla.313 ◽

2002 ◽

Vol 10 (1-2) ◽

pp. 83-104 ◽

Author(s):

Richard E. Ewing ◽

Junping Wang ◽

Yongjun Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Elliptic Problems ◽

Discontinuous Finite Element ◽

Discontinuous Finite Element Method ◽

Download Full-text

Hybridizable discontinuous Galerkin and mixed finite element methods for elliptic problems on surfaces

Mathematics of Computation ◽

10.1090/mcom/3093 ◽

2016 ◽

Vol 85 (302) ◽

pp. 2609-2638 ◽

Author(s):

Bernardo Cockburn ◽

Alan Demlow

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods ◽

Hybridizable Discontinuous Galerkin

Download Full-text

Continuous/discontinuous finite element approximations of fourth-order elliptic problems in structural and continuum mechanics with applications to thin beams and plates, and strain gradient elasticity

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(02)00286-4 ◽

2002 ◽

Vol 191 (34) ◽

pp. 3669-3750 ◽

Author(s):

G. Engel ◽

K. Garikipati ◽

T.J.R. Hughes ◽

M.G. Larson ◽

L. Mazzei ◽

...

Keyword(s):

Finite Element ◽

Continuum Mechanics ◽

Fourth Order ◽

Strain Gradient ◽

Elliptic Problems ◽

Gradient Elasticity ◽

Strain Gradient Elasticity ◽

Finite Element Approximations ◽

Discontinuous Finite Element ◽

Download Full-text

Analysis of Discontinuous Finite Element Methods for Ground Water/Surface Water Coupling

SIAM Journal on Numerical Analysis ◽

10.1137/050639405 ◽

2006 ◽

Vol 44 (4) ◽

pp. 1375-1404 ◽

Author(s):

Clint Dawson

Keyword(s):

Finite Element ◽

Surface Water ◽

Ground Water ◽

Finite Element Methods ◽

Water Surface ◽

Discontinuous Finite Element

Download Full-text

Finite Element Methods for Elliptic Problems Containing Boundary Singularities

Numerische Behandlung von Differentialgleichungen Band 3 ◽

10.1007/978-3-0348-5454-2_15 ◽

1981 ◽

pp. 199-206

Author(s):

J. R. Whiteman

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems

Download Full-text