Energy error estimates for a linear scheme to approximate nonlinear parabolic problems

E. Magenes; R. H. Nochetto; C. Verdi

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1987)

  • Volume: 21, Issue: 4, page 655-678
  • ISSN: 0764-583X

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Magenes, E., Nochetto, R. H., and Verdi, C.. "Energy error estimates for a linear scheme to approximate nonlinear parabolic problems." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 21.4 (1987): 655-678. <http://eudml.org/doc/193519>.

@article{Magenes1987,
author = {Magenes, E., Nochetto, R. H., Verdi, C.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {semidiscretization method; Chernoff's formula; nonlinear semigroups of contractions; energy type error estimates; degenerate and non-degenerate equations; Stefan problem; porous medium equations},
language = {eng},
number = {4},
pages = {655-678},
publisher = {Dunod},
title = {Energy error estimates for a linear scheme to approximate nonlinear parabolic problems},
url = {http://eudml.org/doc/193519},
volume = {21},
year = {1987},
}

TY - JOUR
AU - Magenes, E.
AU - Nochetto, R. H.
AU - Verdi, C.
TI - Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1987
PB - Dunod
VL - 21
IS - 4
SP - 655
EP - 678
LA - eng
KW - semidiscretization method; Chernoff's formula; nonlinear semigroups of contractions; energy type error estimates; degenerate and non-degenerate equations; Stefan problem; porous medium equations
UR - http://eudml.org/doc/193519
ER -

References

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Citations in EuDML Documents

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  1. C. Verdi, A. Visintin, Numerical approximation of the Preisach model for hysteresis
  2. Xun Jiang, Ricardo H. Nochetto, Optimal error estimates for semidiscrete phase relaxation models
  3. G. Amiez, P.-A. Gremaud, Error estimates for Euler forward scheme related to two-phase Stefan problems
  4. Akira Mizutani, Norikazu Saito, Takashi Suzuki, Finite element approximation for degenerate parabolic equations. An application of nonlinear semigroup theory
  5. Molati, Motlatsi, Murakawa, Hideki, An efficient linear numerical scheme for the Stefan problem, the porous medium equation and nonlinear cross-diffusion systems
  6. Hideki Murakawa, A linear scheme to approximate nonlinear cross-diffusion systems
  7. Éric Boillat, An implicit scheme to solve a system of ODEs arising from the space discretization of nonlinear diffusion equations
  8. Xun Jiang, A linear extrapolation method for a general phase relaxation problem
  9. Ricardo H. Nochetto, Alfred Schmidt, Claudio Verdi, Adapting meshes and time-steps for phase change problems
  10. Akira Mizutani, Norikazu Saito, Takashi Suzuki, Finite element approximation for degenerate parabolic equations. an application of nonlinear semigroup theory

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