A Weighted $H(div)$ Least-Squares Method for Second-Order Elliptic Problems

Z. Cai; C. R. Westphal

doi:10.1137/070698531

A Weighted $H(div)$ Least-Squares Method for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/070698531 ◽

2008 ◽

Vol 46 (3) ◽

pp. 1640-1651 ◽

Cited By ~ 10

Author(s):

Z. Cai ◽

C. R. Westphal

Keyword(s):

Least Squares ◽

Least Squares Method ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

Download Full-text

ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. I. FINITE ELEMENT METHOD

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120006702 ◽

2002 ◽

Vol 23 (3-4) ◽

pp. 419-432 ◽

Cited By ~ 4

Author(s):

Suh-Yuh Yang

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Element Method

Download Full-text

Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems

SIAM Journal on Numerical Analysis ◽

10.1137/0731071 ◽

1994 ◽

Vol 31 (5) ◽

pp. 1368-1377 ◽

Cited By ~ 126

Author(s):

A. I. Pehlivanov ◽

G. F. Carey ◽

R. D. Lazarov

Keyword(s):

Finite Elements ◽

Least Squares ◽

Elliptic Problems ◽

Mixed Finite Elements ◽

Second Order ◽

Second Order Elliptic Problems

Download Full-text

ANALYSIS OF LEAST-SQUARES APPROXIMATIONS TO SECOND-ORDER ELLIPTIC PROBLEMS. II. FINITE VOLUME METHOD

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120006703 ◽

2002 ◽

Vol 23 (3-4) ◽

pp. 433-451 ◽

Cited By ~ 1

Author(s):

Suh-Yuh Yang

Keyword(s):

Least Squares ◽

Finite Volume Method ◽

Finite Volume ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Volume Method

Download Full-text

A least-squares virtual element method for second-order elliptic problems

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.08.023 ◽

2020 ◽

Vol 80 (8) ◽

pp. 1873-1886

Author(s):

Ying Wang ◽

Gang Wang

Keyword(s):

Least Squares ◽

Elliptic Problems ◽

Second Order ◽

Virtual Element Method ◽

Virtual Element ◽

Second Order Elliptic Problems ◽

Element Method

Download Full-text

Least-squares for second-order elliptic problems

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00189-8 ◽

1998 ◽

Vol 152 (1-2) ◽

pp. 195-210 ◽

Cited By ~ 29

Author(s):

James H. Bramble ◽

Raytcho D. Lazarov ◽

Joseph E. Pasciak

Keyword(s):

Least Squares ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

Download Full-text

Least-squares mixed method for second-order elliptic problems

Applied Mathematics and Computation ◽

10.1016/s0096-3003(99)00144-7 ◽

2000 ◽

Vol 115 (2-3) ◽

pp. 89-100 ◽

Cited By ~ 1

Author(s):

Yongdeok Kim ◽

Sungyun Lee

Keyword(s):

Least Squares ◽

Mixed Method ◽

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems

Download Full-text

A posteriori error estimates for weak Galerkin methods for second order elliptic problems on polygonal meshes

Applied Numerical Mathematics ◽

10.1016/j.apnum.2020.12.005 ◽

2021 ◽

Vol 161 ◽

pp. 510-524

Author(s):

Shipeng Xu

Keyword(s):

Error Estimates ◽

A Posteriori Error Estimates ◽

Elliptic Problems ◽

Posteriori Error ◽

Second Order ◽

Galerkin Methods ◽

A Posteriori ◽

Weak Galerkin ◽

A Posteriori Error ◽

Second Order Elliptic Problems

Download Full-text

Convergence and Superconvergence of the Local Discontinuous Galerkin Method for Semilinear Second-Order Elliptic Problems on Cartesian Grids

Communications on Applied Mathematics and Computation ◽

10.1007/s42967-021-00123-8 ◽

2021 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Elliptic Problems ◽

Local Discontinuous Galerkin Method ◽

Second Order ◽

Cartesian Grids ◽

Local Discontinuous Galerkin ◽

Convergence And Superconvergence ◽

Second Order Elliptic Problems

Download Full-text

Wavelet Methods for Second-Order Elliptic Problems, Preconditioning, and Adaptivity

SIAM Journal on Scientific Computing ◽

10.1137/s1064827597330613 ◽

1999 ◽

Vol 21 (3) ◽

pp. 1006-1026 ◽

Cited By ~ 40

Author(s):

A. Cohen ◽

R. Masson

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Second Order Elliptic Problems ◽

Wavelet Methods

Download Full-text

Supercloseness of Primal-Dual Galerkin Approximations for Second Order Elliptic Problems

Journal of Scientific Computing ◽

10.1007/s10915-017-0538-0 ◽

2017 ◽

Vol 75 (1) ◽

pp. 376-394

Author(s):

Bernardo Cockburn ◽

Manuel A. Sánchez ◽

Chunguang Xiong

Keyword(s):

Elliptic Problems ◽

Second Order ◽

Galerkin Approximations ◽

Primal Dual ◽

Second Order Elliptic Problems

Download Full-text