Abstract

AbstractWe consider a hyperbolic Maxwell‐type variational inequality arising in Bean's critical state model for type‐II superconductivity. Combining the implicit Euler method in time with a mixed Ritz‐Galerkin approximation in space results in a fully discrete scheme for the concerned variational inequality. We present some numerical experiments, which visualize the Meissner‐Ochsenfeld effect in type‐II superconductivity and verify that the proposed approach is physically reasonable.

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