Analysis of completely discrete finite element method for a free boundary diffusion problem with absorption

DOI10.1016/S0377-0427(00)00534-3zbMath1016.65067MaRDI QIDQ5946732

Raphaël Loubère, Marie-Noëlle Le Roux, Marie-Isabelle Cozic

Publication date: 29 July 2003

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

zbMATH Keywords

convergenceNavier-Stokes equationserror estimatesfinite elementsfree boundary problembutterflybackward Euler methodsemi-discretizationdispersionof pheromonesgrapes in vineyardstruncation method

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Ecology (92D40) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35) Initial value problems for second-order parabolic equations (35K15)

Cites Work

• Galerkin finite element methods for parabolic problems
• Semidiscretization in Time for Parabolic Problems
• Numerical Solution of a Diffusion Consumption Problem with a Free Boundary
• A Free Boundary Problem as Diffusion with Non-linear Absorption
• Maximum Norm Analysis of Completely Discrete Finite Element Methods for Parabolic Problems
• Finite-Element Methods for a Strongly Damped Wave Equation
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