Numerical upscaling of subdiffusive transport through disordered media with finite correlation length
We develop a method which constructs, from random walk data collected in a disordered medium, a system of parabolic partial differential equations that can describe the underlying subdiffusive transport. This method is intended for cases where the scales of interest are comparable to the correlation...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
15 August 2013
|
| In: |
Multiscale modeling & simulation
Year: 2013, Jahrgang: 11, Heft: 3, Pages: 795-812 |
| ISSN: | 1540-3467 |
| DOI: | 10.1137/120867627 |
| Online-Zugang: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1137/120867627 Verlag, lizenzpflichtig, Volltext: https://epubs.siam.org/doi/10.1137/120867627 
|
| Verfasserangaben: | Mario S. Mommer |
MARC
| LEADER | 00000caa a2200000 c 4500 | ||
|---|---|---|---|
| 001 | 1758932392 | ||
| 003 | DE-627 | ||
| 005 | 20220819214226.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 210526s2013 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1137/120867627 |2 doi | |
| 035 | |a (DE-627)1758932392 | ||
| 035 | |a (DE-599)KXP1758932392 | ||
| 035 | |a (OCoLC)1341414016 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rda | ||
| 041 | |a eng | ||
| 084 | |a 27 |2 sdnb | ||
| 100 | 1 | |a Mommer, Mario Salvador |d 1973- |e VerfasserIn |0 (DE-588)130244481 |0 (DE-627)495827819 |0 (DE-576)29808449X |4 aut | |
| 245 | 1 | 0 | |a Numerical upscaling of subdiffusive transport through disordered media with finite correlation length |c Mario S. Mommer |
| 264 | 1 | |c 15 August 2013 | |
| 300 | |a 18 | ||
| 336 | |a Text |b txt |2 rdacontent | ||
| 337 | |a Computermedien |b c |2 rdamedia | ||
| 338 | |a Online-Ressource |b cr |2 rdacarrier | ||
| 500 | |a Gesehen am 26.05.2021 | ||
| 520 | |a We develop a method which constructs, from random walk data collected in a disordered medium, a system of parabolic partial differential equations that can describe the underlying subdiffusive transport. This method is intended for cases where the scales of interest are comparable to the correlation length, and in which the medium is given through a computational procedure to generate material samples. Essentially, our approach is based on fitting the effective exponent over time of a specially crafted stochastic differential equation with Markovian switching to that of the random walk data. Since the master equation of the former is given exactly by said system of parabolic PDEs, we obtain an approximation of the transport described by the random walks. We include numerical experiments for the case of a percolation cluster slightly above criticality, in which a marked subdiffusive behavior can be observed, and show the effectiveness and robustness of our approach. | ||
| 773 | 0 | 8 | |i Enthalten in |t Multiscale modeling & simulation |d Philadelphia, Pa. : SIAM, 2003 |g 11(2013), 3, Seite 795-812 |h Online-Ressource |w (DE-627)363748458 |w (DE-600)2105036-3 |w (DE-576)104083298 |x 1540-3467 |7 nnas |a Numerical upscaling of subdiffusive transport through disordered media with finite correlation length |
| 773 | 1 | 8 | |g volume:11 |g year:2013 |g number:3 |g pages:795-812 |g extent:18 |a Numerical upscaling of subdiffusive transport through disordered media with finite correlation length |
| 856 | 4 | 0 | |u https://doi.org/10.1137/120867627 |x Verlag |x Resolving-System |z lizenzpflichtig |3 Volltext |
| 856 | 4 | 0 | |u https://epubs.siam.org/doi/10.1137/120867627 |x Verlag |z lizenzpflichtig |3 Volltext |
| 951 | |a AR | ||
| 992 | |a 20210526 | ||
| 993 | |a Article | ||
| 994 | |a 2013 | ||
| 998 | |g 130244481 |a Mommer, Mario Salvador |m 130244481:Mommer, Mario Salvador |d 700000 |d 708000 |e 700000PM130244481 |e 708000PM130244481 |k 0/700000/ |k 1/700000/708000/ |p 1 |x j |y j | ||
| 999 | |a KXP-PPN1758932392 |e 3931167593 | ||
| BIB | |a Y | ||
| SER | |a journal | ||
| JSO | |a {"title":[{"title":"Numerical upscaling of subdiffusive transport through disordered media with finite correlation length","title_sort":"Numerical upscaling of subdiffusive transport through disordered media with finite correlation length"}],"person":[{"role":"aut","roleDisplay":"VerfasserIn","display":"Mommer, Mario Salvador","given":"Mario Salvador","family":"Mommer"}],"language":["eng"],"recId":"1758932392","note":["Gesehen am 26.05.2021"],"type":{"bibl":"article-journal","media":"Online-Ressource"},"id":{"eki":["1758932392"],"doi":["10.1137/120867627"]},"origin":[{"dateIssuedDisp":"15 August 2013","dateIssuedKey":"2013"}],"name":{"displayForm":["Mario S. Mommer"]},"relHost":[{"titleAlt":[{"title":"Multiscale modeling and simulation"}],"part":{"volume":"11","text":"11(2013), 3, Seite 795-812","extent":"18","year":"2013","pages":"795-812","issue":"3"},"pubHistory":["1.2003 -"],"recId":"363748458","language":["eng"],"type":{"media":"Online-Ressource","bibl":"periodical"},"disp":"Numerical upscaling of subdiffusive transport through disordered media with finite correlation lengthMultiscale modeling & simulation","note":["Gesehen am 28.04.25"],"title":[{"title_sort":"Multiscale modeling & simulation","title":"Multiscale modeling & simulation"}],"physDesc":[{"extent":"Online-Ressource"}],"id":{"issn":["1540-3467"],"eki":["363748458"],"zdb":["2105036-3"]},"origin":[{"dateIssuedDisp":"2003-","dateIssuedKey":"2003","publisher":"SIAM","publisherPlace":"Philadelphia, Pa."}]}],"physDesc":[{"extent":"18 S."}]} | ||
| SRT | |a MOMMERMARINUMERICALU1520 | ||