Co-volume methods for degenerate parabolic problems

DOI10.1007/BF01388680zbMath0797.65075OpenAlexW2046128877MaRDI QIDQ1326425

Noel J. Walkington, Lisa A. Baughman

Publication date: 9 October 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133696

zbMATH Keywords

heat conductionparallel computationStefan problemphase changenonlinear semigroupdegenerate parabolic problemsco-volume methodsdiscrete semigroup theory

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Degenerate parabolic equations (35K65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Parallel numerical computation (65Y05) Semigroups (20M99)

Related Items

APPROXIMATION BY THE FINITE VOLUME METHOD OF AN ELLIPTIC-PARABOLIC EQUATION ARISING IN ENVIRONMENTAL STUDIES, A combined finite volume-nonconforming/mixed-hybrid finite element scheme for degenerate parabolic problems, A finite volume method on general meshes for a degenerate parabolic convection-reaction-diffusion equation, A co-volume scheme for the rotating shallow water equations on conforming non-orthogonal grids, Convergence and a posteriori error analysis for energy-stable finite element approximations of degenerate parabolic equations, A combined finite volume-finite element scheme for the discretization of strongly nonlinear convection-diffusion-reaction problems on nonmatching grids, Stability and existence of solutions of time-implicit finite volume schemes for viscous nonlinear conservation laws, Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem, Finite volumes and nonlinear diffusion equations, Convergence of Rothe's method for smoothed Stefan problems

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