Split least-squares finite element methods for linear and nonlinear parabolic problems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.03.030 ◽

2009 ◽

Vol 223 (2) ◽

pp. 938-952 ◽

Author(s):

Hongxing Rui ◽

Sang Dong Kim ◽

Seokchan Kim

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Linear And Nonlinear

Download Full-text

An adaptive least-squares mixed finite element method for nonlinear parabolic problems

Computational Mathematics and Modeling ◽

10.1007/s10598-009-9028-z ◽

2009 ◽

Vol 20 (2) ◽

pp. 192-206

Author(s):

Haiming Gu ◽

Hongwei Li

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Least Squares ◽

Mixed Finite Element ◽

Mixed Finite Element Method ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Download Full-text

Error estimates for mixed finite element methods for nonlinear parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.1690080407 ◽

1992 ◽

Vol 8 (4) ◽

pp. 395-404 ◽

Author(s):

So-Hsiang Chou ◽

Qian Li

Keyword(s):

Finite Element ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

Download Full-text

Implicit-explicit multistep finite element methods for nonlinear parabolic problems

Mathematics of Computation ◽

10.1090/s0025-5718-98-00930-2 ◽

1998 ◽

Vol 67 (222) ◽

pp. 457-478 ◽

Author(s):

Georgios Akrivis ◽

Michel Crouzeix ◽

Charalambos Makridakis

Keyword(s):

Finite Element ◽

Finite Element Methods ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic

Download Full-text

HIGHER ORDER DISCONTINUOUS GALERKIN FINITE ELEMENT METHODS FOR NONLINEAR PARABOLIC PROBLEMS

Journal of the Korea Society for Industrial and Applied Mathematics ◽

10.12941/jksiam.2014.18.337 ◽

2014 ◽

Vol 18 (4) ◽

pp. 337-350 ◽

Author(s):

Mi Ray Ohm ◽

Hyun Young Lee ◽

Jun Yong Shin

Keyword(s):

Finite Element ◽

Discontinuous Galerkin ◽

Finite Element Methods ◽

Higher Order ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Discontinuous Galerkin Finite Element ◽

Galerkin Finite Element Methods

Download Full-text

An adaptive characteristic Petrov-Galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in one space variable

Journal of Computational Physics ◽

10.1016/0021-9991(86)90121-x ◽

1986 ◽

Vol 67 (1) ◽

pp. 188-213 ◽

Author(s):

L Demkowicz ◽

J.T Oden

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Space Variable ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Linear And Nonlinear ◽

Convection Dominated

Download Full-text

An adaptive characteristic petrov-galerkin finite element method for convection-dominated linear and nonlinear parabolic problems in two space variables

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(86)90086-1 ◽

1986 ◽

Vol 55 (1-2) ◽

pp. 63-87 ◽

Author(s):

L. Demkowicz ◽

J.T. Oden

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Linear And Nonlinear ◽

Convection Dominated ◽

Download Full-text

On the numerical solution of a class of nonlinear parabolic problems with Volterra operators by a Rothe-Galerkin finite element method

IMA Journal of Numerical Analysis ◽

10.1093/imanum/17.2.239 ◽

1997 ◽

Vol 17 (2) ◽

pp. 239-269 ◽

Author(s):

J Kacur

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Numerical Solution ◽

Parabolic Problems ◽

Galerkin Finite Element Method ◽

Nonlinear Parabolic Problems ◽

Galerkin Finite Element ◽

Nonlinear Parabolic ◽

Volterra Operators ◽

Download Full-text

New a priori analysis of first‐order system least‐squares finite element methods for parabolic problems

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22376 ◽

2019 ◽

Vol 35 (5) ◽

pp. 1777-1800

Author(s):

Thomas Führer ◽

Michael Karkulik

Keyword(s):

Finite Element ◽

Least Squares ◽

Finite Element Methods ◽

A Priori ◽

Order System ◽

Parabolic Problems ◽

First Order ◽

A Priori Analysis

Download Full-text

Superconvergence of Recovered Gradients of Discrete Time/Piecewise Linear Galerkin Approximations for Linear and Nonlinear Parabolic Problems

10.21236/ada455453 ◽

1992 ◽

Author(s):

M. F. Wheeler ◽

J. R. Whiteman

Keyword(s):

Discrete Time ◽

Piecewise Linear ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Galerkin Approximations ◽

Nonlinear Parabolic ◽

Linear And Nonlinear

Download Full-text

Two-grid methods of expanded mixed finite-element solutions for nonlinear parabolic problems

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.04.015 ◽

2019 ◽

Vol 144 ◽

pp. 204-222 ◽

Author(s):

Yanping Chen ◽

Yang Wang ◽

Yunqing Huang ◽

Longxia Fu

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Parabolic Problems ◽

Nonlinear Parabolic Problems ◽

Nonlinear Parabolic ◽

Expanded Mixed Finite Element

Download Full-text