Classical and enriched finite element formulations for Bloch-periodic boundary conditions
نویسندگان
چکیده
منابع مشابه
Classical and enriched finite element formulations for Bloch-periodic boundary conditions
In this paper, classical and enriched finite element formulations to impose Bloch-periodic boundary conditions are proposed. Bloch-periodic boundary conditions arise in the description of wave-like phenomena in periodic media. We consider the quantum-mechanical problem in a crystalline solid, and derive the weak formulation and matrix equations for the Schrödinger and Poisson equations in a par...
متن کاملFinite Element Method for Epitaxial Growth with Thermodynamic Boundary Conditions
We develop an adaptive finite element method for island dynamics in epitaxial growth. We study a step-flow model, which consists of an adatom (adsorbed atom) diffusion equation on terraces of different height; thermodynamic boundary conditions on terrace boundaries including anisotropic line tension; and the normal velocity law for the motion of such boundaries determined by a two-sided flux, t...
متن کاملMixed Finite Element Methods for Problems with Robin Boundary Conditions
We derive new a-priori and a-posteriori error estimates for mixed nite element discretizations of second-order elliptic problems with general Robin boundary conditions, parameterized by a non-negative and piecewise constant function ε ≥ 0. The estimates are robust over several orders of magnitude of ε, ranging from pure Dirichlet conditions to pure Neumann conditions. A series of numerical expe...
متن کاملCoupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures
Consider a time-harmonic electromagnetic plane wave incident on a biperiodic structure in R. The periodic structure separates two homogeneous regions. The medium inside the structure is chiral and nonhomogeneous. In this paper, variational formulations coupling finite element methods in the chiral medium with a method of integral equations on the periodic interfaces are studied. The well-posedn...
متن کاملTraction Boundary Conditions in Hybrid-Stress Finite-Element Model
TECHNICAL NOTES are short manuscripts describing new developments or important results of a preliminary nature. These Notes cannot exceed 6 manuscript pages and 3 figures; a page of text may be substituted for a figure and vice versa. After informal review by the editors, they may be published within a few months of the date of receipt. Style requirements are the same as for regular contributio...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Engineering
سال: 2009
ISSN: 0029-5981,1097-0207
DOI: 10.1002/nme.2457