Bounds and numerical results for homogenized degenerated p -Poisson equations

Johan Byström; Jonas Engström; Peter Wall

Applications of Mathematics (2004)

  • Volume: 49, Issue: 2, page 111-122
  • ISSN: 0862-7940

Abstract

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In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated p -Poisson equations. Moreover, we give some non-trivial examples where the bounds are tight and thus can be used as good approximations of the homogenized properties. We even present some cases where the bounds coincide and also compare them with some numerical results.

How to cite

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Byström, Johan, Engström, Jonas, and Wall, Peter. "Bounds and numerical results for homogenized degenerated $p$-Poisson equations." Applications of Mathematics 49.2 (2004): 111-122. <http://eudml.org/doc/33178>.

@article{Byström2004,
abstract = {In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated $p$-Poisson equations. Moreover, we give some non-trivial examples where the bounds are tight and thus can be used as good approximations of the homogenized properties. We even present some cases where the bounds coincide and also compare them with some numerical results.},
author = {Byström, Johan, Engström, Jonas, Wall, Peter},
journal = {Applications of Mathematics},
keywords = {homogenization; bounds; degenerated; $p$-Poisson equation; homogenization; bound; degenerated -Poisson equation},
language = {eng},
number = {2},
pages = {111-122},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Bounds and numerical results for homogenized degenerated $p$-Poisson equations},
url = {http://eudml.org/doc/33178},
volume = {49},
year = {2004},
}

TY - JOUR
AU - Byström, Johan
AU - Engström, Jonas
AU - Wall, Peter
TI - Bounds and numerical results for homogenized degenerated $p$-Poisson equations
JO - Applications of Mathematics
PY - 2004
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 111
EP - 122
AB - In this paper we derive upper and lower bounds on the homogenized energy density functional corresponding to degenerated $p$-Poisson equations. Moreover, we give some non-trivial examples where the bounds are tight and thus can be used as good approximations of the homogenized properties. We even present some cases where the bounds coincide and also compare them with some numerical results.
LA - eng
KW - homogenization; bounds; degenerated; $p$-Poisson equation; homogenization; bound; degenerated -Poisson equation
UR - http://eudml.org/doc/33178
ER -

References

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