Mixed and stabilized finite element methods for the obstacle problem
Tom Gustafsson, Rolf Stenberg, Juha Videman
TL;DR
This paper introduces mixed and stabilized finite element methods for solving the obstacle problem, providing error estimates that are both theoretically derived and numerically validated.
Contribution
It develops new finite element discretizations for the obstacle problem with comprehensive error analysis and numerical verification.
Findings
A priori error estimates are established.
A posteriori error estimates are derived.
Numerical experiments confirm theoretical results.
Abstract
We discretize the Lagrange multiplier formulation of the obstacle problem by mixed and stabilized finite element methods. A priori and a posteriori error estimates are derived and numerically verified.
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