Sign-Stability in Difference Schemes for Parabolic Initinal-Boundary Value Problems

Numerische Mathematik

, Volume 35, Issue 3, pp 315-341

First online:

Mixed finite elements in ℝ3

  • J. C. NedelecAffiliated withCentre de Mathématiques Appliquées-Ecole Polytechnique

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We present here some new families of non conforming finite elements in ℝ3. These two families of finite elements, built on tetrahedrons or on cubes are respectively conforming in the spacesH(curl) andH(div). We give some applications of these elements for the approximation of Maxwell's equations and equations of elasticity.

Subject Classifications

AMS(MOS) 65N30 CR: 5.17