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- W2183675886 abstract "The advantages and related costs of using irregular tetrahedra for the finite element analysis (FEA) of electromagnetic systems are investigated. The modeling flexibility and efficiency of purely localized -refinements for tetrahedra are illustrated and evaluated. Practical implementation and application details for ir- regular tetrahedra FEA modules are presented and discussed. have been reformulated—or generalized—so that they may be used to define, assemble and solve for continuous field models over geometrically nonconforming finite element meshes. The fundamental difference between regular and irregular tetrahedra is directly linked to the manner in which they impose inter-element solution continuity. With standard node-based tetrahedra (an analogous approach can be adopted for edge elements), all corresponding local degrees of freedom (DOF) which are associated with a common face or edge shared by two or more adjacent tetrahedra are individually constrained to be equal to each other—by simply assigning them to the same global variable. This approach is both computationally efficient and quite straightforward to implement inside matrix assembly. However, these benefits come at a cost: this conforming approach intrinsically requires that if two or more neighboring tetrahedra share a common face or edge, then they must also share the same vertices over that face or along that edge. The ir- regular tetrahedra construct does not rely upon mesh geometry to impose inter-element continuity. Instead, field continuity is achieved through generalized global matrix constraints, which are imposed by matrix modification after matrix assembly. As a result, irregular tetrahedra FEA methods are not limited by the -type mesh generation and refinement restrictions associated with traditional mesh formulations. III. MATHEMATICAL FORMULATION" @default.
- W2183675886 created "2016-06-24" @default.
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- W2183675886 date "2001-01-01" @default.
- W2183675886 modified "2023-09-24" @default.
- W2183675886 title "Irregular Tetrahedra for Finite Element Analysis in" @default.
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