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Showing 1 to 2 of 2 for “"Discontinuous Coefficient"”.
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Immersed Finite Elements for a Second Order Elliptic Operator and Their Applications
… for the second order elliptic operator with a discontinuous coefficient associated with the elliptic interface problems. We introduce an energy norm stronger than the one used in [111]. Then we derive an estimate for the IFE interpolation error with this energy norm using patches of interface …
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A Hermite Cubic Immersed Finite Element Space for Beam Design Problems
This thesis develops an immersed finite element (IFE) space for numerical simulations arising from beam design with multiple materials. This IFE space is based upon meshes that can be independent of interface of the materials used to form a beam. Both the forward and inverse problems associated …