论文信息 - Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms

Boundary Lagrange multipliers in finite element methods: Error analysis in natural norms

SummaryA finite element procedure for circumventing the Babuška-Brezzi condition in mixed formulations with Lagrange multipliers defined on the boundary is presented. Residual terms constructed from the Euler-Lagrange equations are added to the classical Galerkin formulation in order to attain coercivity in a mesh-dependent norm. Convergence is proven for the primal variable and the multiplier in the natural mesh-independent norm of the problem, generalizing results of a previous paper.

Helio J. C. Barbosa | Thomas J. R. Hughes | T. Hughes | H. Barbosa

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