Hilbert Space Interpolation as A Tool for Analyzing Mixed Methods for Fourthorder Boundary Value Pro

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户:xixixi
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  We consider mixed variational methods for fourth-order boundary value problems.Typical examples are plate bending problems and the linearized Cahn-Hilliard equation(after discretization in time).It will be shown how to derive well-posed mixed variational formulations for such problems with the help of interpolation theory of Hilbert spaces.An analogous analysis for associated mixed finite element methods lead to efficient preconditioners for the linear systems of equations resulting from the discretization.
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