Matlab implementation of the finite element method in elasticity. (English) Zbl 1239.74092

Alberty, Jochen; Carstensen, Carsten; Funken, Stefan A.; Klose, Roland

Computing 69, No. 3, 239-263 (2002).

Summary: A short Matlab implementation for \(P _{1}\) and \(Q _{1}\) finite elements (FE) is provided for the numerical solution of 2d and 3d problems in linear elasticity with mixed boundary conditions. Any adaptation from the simple model examples provided to more complex problems can easily be performed with the given documentation. Numerical examples with postprocessing and error estimation via an averaged stress field illustrate the new Matlab tool and its flexibility.

MSC:

74S05	Finite element methods applied to problems in solid mechanics
65N30	Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
74-04	Software, source code, etc. for problems pertaining to mechanics of deformable solids
65R20	Numerical methods for integral equations

Keywords:

finite element method; elasticity; Matlab

Software:

FEMLAB; Matlab