The finite element method for elliptic problems. (Metod konechnykh ehlementov dlya ehllipticheskikh zadach). Transl. from the English by B. I. Kvasov. (Russian) Zbl 0547.65072

Ciarlet, Philippe G.

Moskva: Izdatel’stvo ”Mir”. 512 p. (1980).

See the review of the English original (1978; Zbl 0383.65058).

MSC:

65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74S05	Finite element methods applied to problems in solid mechanics
65-02	Research exposition (monographs, survey articles) pertaining to numerical analysis
74K20	Plates
35J25	Boundary value problems for second-order elliptic equations
35J40	Boundary value problems for higher-order elliptic equations

Keywords:

finite element method; Sobolev spaces; differential calculus; normed vector spaces; Lame’s system of linear elasticity; thin plate; fourth- order problems; Ritz-Galerkin approximations; uniform convergence; rate of convergence; isoparametric elements; nonconforming methods; obstacle problem; minimal surface problem; equations of monotone type; arches; shells; flat elements

Citations:

Zbl 0383.65058