Additive splitting methods for elliptic-parabolic problems

Čiegis, Raimondas; Papastavrou, Areti; Zemitis, A.

doi:10.1007/bf02837304

Cited by 5 publications

(2 citation statements)

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“…Vykstant šiam procesui sritis ribojantis paviršius irgi juda [3]. Naujas toki u uždavini u skaitinio sprendimo algoritmas yra pateiktas [2] darbe.…”

Section: Uždavinio Formulavimasunclassified

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Numerical algorithms for one parabolic-elliptic problem

Čiegis,

Čiegis

2003

LMR

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In this paper we solve numerically a parabolic-elliptic problem. Two finite difference schemes are proposed. The first scheme is a modification of the backward Euler algorithm and it requires to solve an elliptic problem at each time step. The spectral estimates of the obtained matrix are presented. The second scheme is a modification of the stability-correction scheme. This scheme is used as a classical splitting scheme in the parabolic region of the problem definition and as a new iterative algorithm in the elliptic part of the problem. We prove the convergence of the proposed scheme.

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“…Vykstant šiam procesui sritis ribojantis paviršius irgi juda [3]. Naujas toki u uždavini u skaitinio sprendimo algoritmas yra pateiktas [2] darbe.…”

Section: Uždavinio Formulavimasunclassified

“…Gerai žinoma, kad daugiamačius parabolinio tipo uždavinius ypač efektyviai sprendžiame naudodami išskaidymo schemas [4]. Todėl diferencialin i uždavin i aproksimuojame tokia modifikuota stabilizuojančios pataisos išskaidymo schema [2]:…”

Section: Stabilizuojančios Pataisos Schemaunclassified