Galerkin method for a Stefan-type problem in one space dimension

DOI<393::AID-NUM6>3.0.CO;2-G 10.1002/(SICI)1098-2426(199707)13:4<393::AID-NUM6>3.0.CO;2-GzbMath0880.65077OpenAlexW2083087294MaRDI QIDQ4349060

Sudarsan Padhy, L. Jones Tarcius Doss, Amiya K. Pani

Publication date: 1997

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199707)13:4<393::aid-num6>3.0.co;2-g

zbMATH Keywords

convergenceGalerkin methoderror estimatesnumerical examplesStefan problemsemidiscretizationsystem of nonlinear parabolic equationsbackward differencing in time

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Free boundary problems for PDEs (35R35)

Related Items (5)

Error estimates for mixed finite element approximations to a linear Stefan problem. ⋮ Finite element approximation to global stabilization of the Burgers' equation by Neumann boundary feedback control law ⋮ Error analysis of a mixed finite element approximation of a linear Stefan problem. ⋮ Fully discrete mixed finite element method for a quasilinear Stefan problem with a forcing term in non-divergence form ⋮ Global stabilization of BBM-Burgers' type equations by nonlinear boundary feedback control laws: theory and finite element error analysis

Cites Work

• Galerkin finite element methods for parabolic problems
• An \(H^ 1\)-Galerkin method for a Stefan problem with a quasilinear parabolic equation in nondivergence form
• Superconvergence of the Galerkin approximation of a quasilinear parabolic equation in a single space variable
• Local and global solutions of the Stefan-type problem
• A finite element method for a single phase semilinear stefan problem in one space dimension

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