Research and development on computing schemes for systems including liquid flows

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1.Scheme for liquid flows(1)Already, there exists a scheme for multi-flows using finite element of low order degree of polynomials obtained by one of investigator together with other researcher, so it is needed to construct a new scheme for the same target using more higher order polynomials. It is done by a report written by Kaizu.(2)Characteristic method is applied to pursuit liquid flow particles, also interface of two flows are computed in a successful way (Fujima).(3)Optimal problems are considered for a system including liquid flows, including heat fields. Then in computation the shape of bodies are changed so nicely (Azegami)2.Elastic wavesElastic waves are considered in the case of the Neumann boundary, a scattering theory of Lax and Phillips, And the scattering kernel of the Majda type are considered. Some difficulty is solved in this situation (Soga)3.General boundary value problems and their inverse problemsAn arbitrarily many mesh points method is applied to the inverse problem, which appears in solving general boundary value problems. Then this good result is applied to the inverse problem for the Laplace-Poisson equation (Onishe).