An extension of Rothe's method to non-cylindrical domains.

DOI10.1007/s10492-007-0021-6zbMath1164.65463OpenAlexW2047461683MaRDI QIDQ954628

Lars-Erik Persson, Komil D. Kuliev

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33296

zbMATH Keywords

method of linesRothe's methodtime-discretizationlinear parabolic boundary value problemsnon-cylindrical domains

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (11)

On the resolution of the heat equation in unbounded non-regular domains of R³ ⋮ Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence. ⋮ New regularity results for the heat equation in triangular domains ⋮ Solution to an integrodifferential equation with integral condition ⋮ On the solution of a fractional diffusion integrodifferential equation with Rothe time discretization ⋮ ON EXTENDED ROTHE’S METHOD FOR NONLINEAR PARABOLIC VARIATIONAL INEQUALITIES IN NONCYLINDRICAL DOMAINS ⋮ Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains ⋮ Solution to fractional pseudoparabolic equation with fractional integral condition ⋮ Global in Space Regularity Results for the Heat Equation with Robin-Neumann Type Boundary Conditions in Time-varying Domains ⋮ Rothe's method for nonlinear parabolic variational inequalities in noncylindrical domains ⋮ On the solvability of heat boundary value problems in Sobolev spaces

Cites Work

• On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
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