{"product_id":"multiscale-finite-element-methods-for-second-order-elliptic-bvps-von-md-selim-akhtar","title":"Multiscale Finite Element Methods For Second Order Elliptic BVPs","description":"\u003cp\u003eIn this book the convergence of the multiscale  finite element method (MsFEM) for second order  elliptic equations with oscillating coefficient in  two space dimension is studied. Such equations often  arise in composite materials and flows in porous  media. The main purpose is to understand the  theoretical background of this method and its  convergence analysis. The oscillating coefficient is  assumed to be of two scales and is periodic in the  large scale. The MsFEM is capable of correctly  capturing the large scale components of the solution  on a coarse grid without accurately resolving all  the small scale features in the solution. This is  accomplished by incorporating the local  microstructure of the differential operator into the  finite element base functions. As a consequence, the  base functions are adapted to the local properties  of the differential operator.\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783843374170\"\u003e\u003ch3\u003eA Comparative Study\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783843374170","offer_id":39486549721181,"sku":"9783843374170","price":49.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/122d6526-fefa-48df-a2ed-6ab0e5d149e8.jpg?v=1773384174","url":"https:\/\/shop.autorenwelt.de\/en\/products\/multiscale-finite-element-methods-for-second-order-elliptic-bvps-von-md-selim-akhtar","provider":"Autorenwelt Shop","version":"1.0","type":"link"}