Nonnegativity preserving convergent schemes for the thin film equation

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Vydáno v:	Numerische Mathematik Ročník 87; číslo 1; s. 113 - 152
Hlavní autoři:	Grün, Günther, Rumpf, Martin
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Heidelberg Springer 01.11.2000 Berlin New York, NY
Témata:	Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Laminar flows Low-reynolds-number (creeping) flows Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Physics Sciences and techniques of general use Uniform convergence Cauchy Schwarz inequality Choice Continuous Sobolev space Viscous fluid Fourth order equation Embedding Entropy Numerical method Partial differential equation Convergence Thin film Finite element method Parabolic equation Fix point Discretization Sobolev embedding Multidimensional model Sparse matrix Evolution Integral Lubrication Gauss Seidel method Regularity Free boundary Existence theorem Initial value problem Pressure Degenerate equation Non negativity Boundary value problem Linear system A priori estimation Tracing Hölder continuity
ISSN:	0029-599X, 0945-3245
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ISSN:	0029-599X 0945-3245
DOI:	10.1007/s002110000197