Fully computable a posteriori error bounds for stabilised FEM approximations of convection-reaction-diffusion problems in three dimensions

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.3822 ◽

2013 ◽

pp. n/a-n/a ◽

Author(s):

Mark Ainsworth ◽

Alejandro Allendes ◽

Gabriel R. Barrenechea ◽

Richard Rankin

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Three Dimensions ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Diffusion Problems

Download Full-text

Maximum‐norm a posteriori error bounds for a collocation method applied to a singularly perturbed reaction–diffusion problem in three dimensions

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22414 ◽

2019 ◽

Vol 35 (6) ◽

pp. 2305-2317

Author(s):

Goran Radojev ◽

Torsten Linß

Keyword(s):

Collocation Method ◽

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Three Dimensions ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

Fully computable robust a posteriori error bounds for singularly perturbed reaction–diffusion problems

Numerische Mathematik ◽

10.1007/s00211-011-0384-1 ◽

2011 ◽

Vol 119 (2) ◽

pp. 219-243 ◽

Author(s):

Mark Ainsworth ◽

Tomáš Vejchodský

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Posteriori Error ◽

Singularly Perturbed ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds ◽

Diffusion Problems

Download Full-text

On a Renewed Approach to A Posteriori Error Bounds for Approximate Solutions of Reaction-Diffusion Equations

Lecture Notes in Computational Science and Engineering - Advanced Finite Element Methods with Applications ◽

10.1007/978-3-030-14244-5_12 ◽

2019 ◽

pp. 221-245

Author(s):

Vadim G. Korneev

Keyword(s):

Error Bounds ◽

Reaction Diffusion ◽

Approximate Solutions ◽

Posteriori Error ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

A posteriori error bounds for inhomogeneous linear dirichlet and neumann problems in n dimensions

Applicable Analysis ◽

10.1080/00036818008839328 ◽

1980 ◽

Vol 11 (2) ◽

pp. 151-161

Author(s):

John E. Lavery

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Neumann Problems ◽

A Posteriori Error Bounds

Download Full-text

Two-sided a posteriori error bounds for electro-magnetostatic problems

Journal of Mathematical Sciences ◽

10.1007/s10958-010-9844-x ◽

2010 ◽

Vol 166 (1) ◽

pp. 53-62 ◽

Author(s):

D. Pauly ◽

S. Repin

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

A geometric approach for computing a posteriori error bounds for the solution of a linear system

Computing ◽

10.1007/bf02242018 ◽

1991 ◽

Vol 47 (1) ◽

pp. 1-9 ◽

Author(s):

C. Jansson

Keyword(s):

Linear System ◽

Error Bounds ◽

Geometric Approach ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

Rigorous and effective a-posteriori error bounds for nonlinear problems—application to RB methods

Advances in Computational Mathematics ◽

10.1007/s10444-020-09741-x ◽

2020 ◽

Vol 46 (2) ◽

Author(s):

Andreas Schmidt ◽

Dominik Wittwar ◽

Bernard Haasdonk

Keyword(s):

Error Bounds ◽

Nonlinear Problems ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

On a Posteriori Error Bounds of Trapezoidal Rule

2019 International Conference on Information Networking (ICOIN) ◽

10.1109/icoin.2019.8718134 ◽

2019 ◽

Author(s):

Bum II Hong ◽

Intae Ryoo ◽

Gon Khang

Keyword(s):

Error Bounds ◽

Posteriori Error ◽

Trapezoidal Rule ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

A Posteriori Error Bounds for Gaussian Elimination

IMA Journal of Numerical Analysis ◽

10.1093/imanum/2.4.377 ◽

1982 ◽

Vol 2 (4) ◽

pp. 377-406 ◽

Author(s):

F. W. J. OLVER ◽

J. H. WILKINSON

Keyword(s):

Error Bounds ◽

Gaussian Elimination ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text

On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(75)90042-5 ◽

1975 ◽

Vol 1 (3-4) ◽

pp. 407-416

Author(s):

E.G. Geisler ◽

A.A. Tal ◽

D.P. Garg

Keyword(s):

Differential Equations ◽

Error Bounds ◽

Nonlinear Differential Equations ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

A Posteriori Error Bounds

Download Full-text