On the convergence of the backward Euler algorithm for the multidimensional heat equation

• Autorzy: Ion Aurel Cristescu
• Języki publikacji: EN

Abstrakty

EN

The backward Euler algorithm for the multidimensional nonhomogeneous heat equation is analyzed, based on the finite element method. The existence and uniqueness of the numerical solution is investigated. Also, the convergence of the numerical solutions is studied.

Kategorie tematyczne

• 35A15: Variational methods
• 35K05: Heat equation
• 65M60: Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 2014
• Tom: 41
• Numer: 4
• Strony: 351-360

Daty

wydano

2014

Twórcy

autor

Ion Aurel Cristescu

• Applied Sciences Faculty, Politehnica University of Bucharest, Splaiul Independenţei 313, 060042 Bucureşti, Romania

Identyfikatory

DOI

10.4064/am41-4-6