Abstract
The hp-methods is a very efficient and accurate tool in modern computational mechanics. For a wide range of problems hp-techniques provide the exponential convergence rate of the discrete solution to the exact solution, while h-version and p-version give only an algebraic convergence rate. The finite element method is used commonly for numerical simulations of contact problems [3]. The boundary element techniques are relatively seldom used, despite some significant advantages [1]. In the boundary element method only the boundaries of the bodies are discretized, which reduces the dimension of the problem by one. This simplifies e.g. mesh generation significantly. Also, the number of unknowns in the problem is reduced greatly, but in contrast to finite elements, the Galerkin matrix will be dense due to nonlocal boundary integral operators.
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