Immersed Mesh Methods for the Solution of Coupled Finite Element Problems
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The ever-increasing computational power of modern supercomputers enables the numerical simulation of complex and coupled large-scale multiphysics problems, e.g., arising from fluid-structure interaction, or geometrically complex interactions, e.g., in contact mechanics. Common to these coupled and complex problems is the need for the transfer of data or information between the different models, meshes, or approximation spaces. The transfer of discrete fields, such as stresses, pressure, displacements, or velocities, might be required both along surfaces or within volumes. Variational transfer techniques might also play an important role at the level of the discretization, e.g., within non-conforming domain decomposition or mortar methods for the transfer along surfaces, or on the level of the solution method, e.g., within multigrid or multi-level methods for the transfer between different volume meshes. In this talk, we introduce our parallel variational transfer technique and its application to a wide variety of problems.
