Blow-up of continuous and semidiscrete solutions to elliptic equations with semilinear dynamical boundary conditions of parabolic type

DOI10.1016/j.cam.2006.02.037zbMath1116.65109OpenAlexW1963579318MaRDI QIDQ875385

Miglena N. Koleva, Lubin G. Vulkov

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.02.037

zbMATH Keywords

convergenceerror estimatesfinite element methodblow-upelliptic equationsLaplace equationSteklov spectral problemeigenfunction methodsemidiscretization in spacesemilinear dynamical boundary conditions

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

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