دانلود مقاله ISI انگلیسی شماره 161465
ترجمه فارسی عنوان مقاله

یک روش نیچه برای مشکلات بیضوی در سطوح کامپوزیت

عنوان انگلیسی
A Nitsche method for elliptic problems on composite surfaces
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
161465 2017 21 صفحه PDF
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Computer Methods in Applied Mechanics and Engineering, Volume 326, 1 November 2017, Pages 505-525

پیش نمایش مقاله
پیش نمایش مقاله  یک روش نیچه برای مشکلات بیضوی در سطوح کامپوزیت

چکیده انگلیسی

We develop a finite element method for elliptic partial differential equations on so called composite surfaces that are built up out of a finite number of surfaces with boundaries that fit together nicely in the sense that the intersection between any two surfaces in the composite surface is either empty, a point, or a curve segment, called an interface curve. Note that several surfaces can intersect along the same interface curve. On the composite surface we consider a broken finite element space which consists of a continuous finite element space at each subsurface without continuity requirements across the interface curves. We derive a Nitsche type formulation in this general setting and by assuming only that a certain inverse inequality and an approximation property hold we can derive stability and error estimates in the case when the geometry is exactly represented. We discuss several different realizations, including so called cut meshes, of the method. Finally, we present numerical examples.