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Some nonstandard finite element estimates with applications to $$3D$$ Poisson and Signorini problems. (English) Zbl 0981.65131
Finite element estimates in fractional order Sobolev spaces are established. Applications to 3D Poisson and Signorini problems are given.

##### MSC:
 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs 74M15 Contact in solid mechanics 74S05 Finite element methods applied to problems in solid mechanics 35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation 35Q72 Other PDE from mechanics (MSC2000)
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