ostrish 发表于 2025-3-26 22:16:38
Harmonic MapsThe solutions are vector fields that describe the orientation of the molecules or the magnetization field. A simple model problem defines harmonic maps in the sphere as minimizers of the Dirichlet energy subject to a pointwise unit-length constraint. Lowest-order conforming finite element methods prchronicle 发表于 2025-3-27 03:32:53
Bending Problems fourth-order problems. In the case of small displacements, a linear partial differential equation provides accurate approximations, but finite element methods have to be carefully developed to avoid locking phenomena. In the case of large deformations, a pointwise isometry constraint has to be incoCLEFT 发表于 2025-3-27 06:18:54
Nonconvexity and Microstructurel descriptions of crystalline phase transitions that enable the shape-memory effect of smart materials. The ill-posed minimization problems capture important effects and relaxation theories define well-posed modifications of the functionals. The problems related to direct numerical treatment of theANTH 发表于 2025-3-27 10:48:28
Free Discontinuitiesdients of functions of bounded variation are certain measures and the functions may jump across lower-dimensional subsets. The properties of this function space enable the mathematical modeling of fracture and crack formation of materials within the framework of the calculus of variations. QualitatiBUCK 发表于 2025-3-27 15:51:06
Elastoplasticitymathematical descriptions lead to nonsmooth evolution problems that can be approximated by sequences of convex minimization problems. Related quasioptimal a priori and a posteriori error estimates for low-order finite element methods are derived. The numerical implementation requires solving a nonli智力高 发表于 2025-3-27 18:11:57
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