Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Rajen K. Sinha; Richard E. Ewing; Raytcho D. Lazarov

doi:10.1137/080740490

Mixed Finite Element Approximations of Parabolic Integro-Differential Equations with Nonsmooth Initial Data

SIAM Journal on Numerical Analysis ◽

10.1137/080740490 ◽

2009 ◽

Vol 47 (5) ◽

pp. 3269-3292 ◽

Cited By ~ 21

Author(s):

Rajen K. Sinha ◽

Richard E. Ewing ◽

Raytcho D. Lazarov

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Nonsmooth Initial Data

Download Full-text

Optimal Error Estimates of Two Mixed Finite Element Methods for Parabolic Integro-Differential Equations with Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-012-9666-8 ◽

2013 ◽

Vol 56 (1) ◽

pp. 131-164 ◽

Cited By ~ 9

Author(s):

Deepjyoti Goswami ◽

Amiya K. Pani ◽

Sangita Yadav

Keyword(s):

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Error Estimates ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Optimal Error Estimates ◽

Optimal Error ◽

Nonsmooth Initial Data

Download Full-text

Two-grid methods for expanded mixed finite element approximations of semi-linear parabolic integro-differential equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2018.06.001 ◽

2018 ◽

Vol 132 ◽

pp. 163-181 ◽

Cited By ~ 6

Author(s):

Tianliang Hou ◽

Luoping Chen ◽

Yin Yang

Keyword(s):

Finite Element ◽

Differential Equations ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Expanded Mixed Finite Element

Download Full-text

Superconvergence of mixed finite element methods for parabolic problems with nonsmooth initial data

Numerische Mathematik ◽

10.1007/s002110050323 ◽

1998 ◽

Vol 78 (4) ◽

pp. 495-521 ◽

Cited By ~ 18

Author(s):

Hongsen Chen ◽

Richard Ewing ◽

Raytcho Lazarov

Keyword(s):

Finite Element ◽

Initial Data ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Mixed Finite Element Methods ◽

Parabolic Problems ◽

Nonsmooth Initial Data

Download Full-text

Quadrature based finite element approximations to time dependent parabolic equations with nonsmooth initial data

CALCOLO ◽

10.1007/s100920050018 ◽

1998 ◽

Vol 35 (4) ◽

pp. 225-248 ◽

Cited By ~ 5

Author(s):

Amiya Kumar Pani ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element ◽

Initial Data ◽

Parabolic Equations ◽

Time Dependent ◽

Finite Element Approximations ◽

Nonsmooth Initial Data

Download Full-text

Finite Element Method for Fractional Parabolic Integro-Differential Equations with Smooth and Nonsmooth Initial Data

Journal of Scientific Computing ◽

10.1007/s10915-021-01412-3 ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Shantiram Mahata ◽

Rajen Kumar Sinha

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Initial Data ◽

Differential Equations ◽

Nonsmooth Initial Data ◽

Element Method

Download Full-text

Richardson extrapolation and defect correction of mixed finite element methods for integro-differential equations in porous media

Applications of Mathematics ◽

10.1007/s10492-008-0011-3 ◽

2008 ◽

Vol 53 (1) ◽

pp. 13-39 ◽

Cited By ~ 2

Author(s):

Shanghui Jia ◽

Deli Li ◽

Tang Liu ◽

Shuhua Zhang

Keyword(s):

Finite Element ◽

Porous Media ◽

Differential Equations ◽

Finite Element Methods ◽

Mixed Finite Element ◽

Richardson Extrapolation ◽

Mixed Finite Element Methods ◽

Defect Correction

Download Full-text

Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90163-e ◽

1992 ◽

Vol 97 (2) ◽

pp. 193-210 ◽

Cited By ~ 17

Author(s):

Helio J.C. Barbosa ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Variational Inequalities ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Elliptic Variational Inequalities

Download Full-text

A non-overlapping domain decomposition method for continuous-pressure mixed finite element approximations of the Stokes problem

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2010070 ◽

2010 ◽

Vol 45 (4) ◽

pp. 675-696 ◽

Cited By ~ 2

Author(s):

Hani Benhassine ◽

Abderrahmane Bendali

Keyword(s):

Finite Element ◽

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Stokes Problem ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Overlapping Domain Decomposition

Download Full-text

Decomposition Methods and Mixed Finite Element Approximations of Adherence and Contact Problems in Finite Viscoelasticity

Contact Mechanics ◽

10.1007/978-1-4615-1983-6_29 ◽

1995 ◽

pp. 229-236 ◽

Cited By ~ 1

Author(s):

Gonzalo Alduncin

Keyword(s):

Finite Element ◽

Mixed Finite Element ◽

Contact Problems ◽

Decomposition Methods ◽

Finite Element Approximations ◽

Finite Viscoelasticity

Download Full-text

Two-grid methods for mixed finite element approximations of nonlinear parabolic equations

Domain Decomposition Methods in Scientific and Engineering Computing - Contemporary Mathematics ◽

10.1090/conm/180/01971 ◽

1994 ◽

pp. 191-203 ◽

Cited By ~ 64

Author(s):

Clint N. Dawson ◽

Mary F. Wheeler

Keyword(s):

Finite Element ◽

Parabolic Equations ◽

Mixed Finite Element ◽

Nonlinear Parabolic Equations ◽

Finite Element Approximations ◽

Nonlinear Parabolic

Download Full-text