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Discontinuous Galerkin Methods for Solving a Frictional Contact Problem with Normal Compliance

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Abstract Several discontinuous Galerkin (DG) methods are introduced for solving a frictional contact problem with normal compliance, which is modeled as a quasi-variational inequality. Consistency, boundedness, and stability are established… Click to show full abstract

Abstract Several discontinuous Galerkin (DG) methods are introduced for solving a frictional contact problem with normal compliance, which is modeled as a quasi-variational inequality. Consistency, boundedness, and stability are established for the DG methods. Two numerical examples are presented to illustrate the performance of the DG methods.

Keywords: problem normal; discontinuous galerkin; contact problem; frictional contact; galerkin methods; solving frictional

Journal Title: Numerical Functional Analysis and Optimization
Year Published: 2018

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