Solving Multi-Scale problems with heterogeneous finite difference methods
نویسندگان
چکیده
منابع مشابه
Finite difference heterogeneous multi-scale method for homogenization problems
In this paper, we propose a numerical method, the finite difference heterogeneous multi-scale method (FD-HMM), for solving multi-scale parabolic problems. Based on the framework introduced in [Commun. Math. Sci. 1 (1) 87], the numerical method relies on the use of two different schemes for the original equation, at different grid level which allows to give numerical results at a much lower cost...
متن کاملHeterogeneous Domain Decomposition for Multi - Scale Problems ∗
The objective of this work is to develop numerical tools useful for the understanding of fundamental phenomena in Blood Flow, including some biochemistry and cellular dynamics. An open problem that may benefit from multi-scale numerical tools is for example the understanding of the relation ship between inflammation and cholesterol plaque. The corresponding topics we address in this paper are (...
متن کاملThe Finite Volume, Finite Element, and Finite Difference Methods as Numerical Methods for Physical Field Problems
II. Foundations 5 A. The Mathematical Structure of Physical Field Theories . . . 5 B. Geometric Objects and Orientation . . . . . . . . . . . . . 7 C. Physical Laws and Physical Quantities . . . . . . . . . . . . 15 D. Classification of Physical Quantities . . . . . . . . . . . . . 21 E. Topological Laws . . . . . . . . . . . . . . . . . . . . . . . 26 F. Constitutive Relations . . . . . . . . ...
متن کاملOn Solving Large-Scale Finite Minimax Problems Using Exponential Smoothing
This paper focuses on finite minimax problems with many functions, and their solution by means of exponential smoothing. We conduct run-time complexity and rate of convergence analysis of smoothing algorithms and compare them with those of SQP algorithms. We find that smoothing algorithms may have only sublinear rate of convergence, but as shown by our complexity results, their slow rate of con...
متن کاملOn the Implementation of a Heterogeneous Multi-scale Finite Element Method for Nonlinear Elliptic Problems
In this contribution, we formulate a heterogeneous multiscale finite element method (HMM) for monotone elliptic operators. This is done in the general concept of HMM, which was initially introduced by E and Engquist [E, Engquist, The heterogeneous multiscale methods, Commun. Math. Sci., 1(1):87–132, 2003]. Since the straightforward formulation is not suitable for a direct implementation in the ...
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: PAMM
سال: 2003
ISSN: 1617-7061,1617-7061
DOI: 10.1002/pamm.200310555