Solution of a two-dimensional stationary induction heating problem without boundedness of the coefficients
A sixth-order finite volume method for the 1D biharmonic operator: Application to intramedullary nail simulation
A new very high-order finite volume method to solve problems with harmonic and biharmonic operators for onedimensional geometries is proposed. The main ingredient is polynomial reconstruction based on local interpolations of mean values providing accurate approximations of the solution up to the sixth-order accuracy. First developed with the harmonic operator, an extension for the biharmonic operator is obtained, which allows designing a very high-order finite volume scheme where the solution is...
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