Monotone multigrid methods for elliptic variational inequalities I
Numerische Mathematik
The 4-triangles longest-side partition of triangles and linear refinement algorithms
Mathematics of Computation
A New Projection Method for Variational Inequality Problems
SIAM Journal on Control and Optimization
Finite Element Method for Elliptic Problems
Finite Element Method for Elliptic Problems
Convergence of Adaptive Finite Element Methods
SIAM Review
Adaptive Finite Element Methods with convergence rates
Numerische Mathematik
Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs
SIAM Journal on Numerical Analysis
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In this paper, the bisection of the local mesh refinement in self adaptive finite element is applied to the obstacle problem of elliptic variational inequalities. We try to find the approximated region of the contact in the obstacle problem efficiently. Numerical examples are given for the obstacle problem.