Finite Element Methods for Elliptic Problems Containing Boundary Singularities

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 ◽

Cited By ~ 6

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

P1-Nonconforming Quadrilateral Finite Element Methods for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902404923 ◽

2003 ◽

Vol 41 (2) ◽

pp. 624-640 ◽

Cited By ~ 88

Author(s):

Chunjae Park ◽

Dongwoo Sheen

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Quadrilateral 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

Optimal convergence rates ofhpmortar finite element methods for second-order elliptic problems

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2000158 ◽

2000 ◽

Vol 34 (3) ◽

pp. 591-608 ◽

Cited By ~ 23

Author(s):

Faker Ben Belgacem ◽

Padmanabhan Seshaiyer ◽

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Convergence Rates ◽

Elliptic Problems ◽

Second Order ◽

Optimal Convergence ◽

Optimal Convergence Rates ◽

Second Order Elliptic Problems

Download Full-text

On the stability and convergence of higher-order mixed finite element methods for second-order elliptic problems

Mathematics of Computation ◽

10.1090/s0025-5718-1990-0990603-x ◽

1990 ◽

Vol 54 (189) ◽

pp. 1-1 ◽

Cited By ~ 20

Author(s):

Manil Suri

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Higher Order ◽

Second Order ◽

Mixed Finite Element Methods ◽

Stability And Convergence ◽

The Stability ◽

Second Order Elliptic Problems

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 ◽

Cited By ~ 20

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

Finite element methods for semilinear elliptic problems with smooth interfaces

Indian Journal of Pure and Applied Mathematics ◽

10.1007/s13226-011-0014-8 ◽

2011 ◽

Vol 42 (4) ◽

pp. 205-223 ◽

Cited By ~ 1

Author(s):

Bhupen Deka ◽

Tazuddin Ahmed

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Semilinear Elliptic ◽

Semilinear Elliptic Problems

Download Full-text

Third order nodal finite element methods with transverse and reduced integration for elliptic problems

Applied Numerical Mathematics ◽

10.1016/s0168-9274(03)00024-2 ◽

2003 ◽

Vol 46 (2) ◽

pp. 209-230 ◽

Cited By ~ 2

Author(s):

J.-P. Hennart ◽

E.H. Mund ◽

E. del Valle

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Third Order ◽

Reduced Integration

Download Full-text

A Family of Multipoint Flux Mixed Finite Element Methods for Elliptic Problems on General Grids

Procedia Computer Science ◽

10.1016/j.procs.2011.04.097 ◽

2011 ◽

Vol 4 ◽

pp. 918-927 ◽

Cited By ~ 9

Author(s):

Mary F. Wheeler ◽

Guangri Xue ◽

Ivan Yotov

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Elliptic Problems ◽

Mixed Finite Element Methods

Download Full-text

Finite element methods with numerical quadrature for elliptic problems with smooth interfaces

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2009.12.052 ◽

2010 ◽

Vol 234 (2) ◽

pp. 605-612 ◽

Cited By ~ 8

Author(s):

Bhupen Deka

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Elliptic Problems ◽

Numerical Quadrature

Download Full-text