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The Topological Structure of Grain Boundaries
1990It is shown that grain boundaries are quasiperodic tilings made of inflatable sequences of structural units. A general grain boundary is a quasiperodic grid of dislocations with the same inflation multiplier (a quadratic irrational) in every direction.
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Tunneling boundary condition and topology change
Physical Review D, 1995In this paper the tunneling boundary condition is reexamined in terms of the Morse function. The use of this function permits one, on the one hand, to describe the shape of the singularity when topology change is allowed, and, on the other hand, to define, in the same situation, a slicing procedure which allows one to define the boundary of superspace ...
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On Topologies and Boundaries in Potential Theory
1971General notions of thinness and fine topology.- Notion of reduced function. Applications. Strong thinness and strong unthinness.- General results on fine limits.- Quasi-topological notions.- Weak thinness.- Notions in classical potential theory.- Classical fine topology-general properties.- Applications to balayage, weights and capacities.- Further ...
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Values on the Topological Boundary of Tubes
1988Holomorphic functions in tube domains in ℂn which generalize the Hardy Hp functions are shown to have boundary values on the topological boundary of the tube. The boundary values are obtained restrictedly or unrestrictedly in Lp and in the distribution space \( {\text {K}}_{1}^{\prime}\).
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Evolutionary topology optimization of continuum structures with smooth boundary representation
, 2018D. Da +3 more
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On filter boundary conditions in topology optimization
, 2017A. Clausen, E. Andreassen
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Structural Topology Optimization Through Explicit Boundary Evolution
, 2017Weisheng Zhang +4 more
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Mesh Composition on Models with Arbitrary Boundary Topology
IEEE Transactions on Visualization and Computer Graphics, 2008Juncong Lin +3 more
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