- Volume 21 Issue 5
DOI QR Code
Finite Element Analysis and Local a Posteriori Error Estimates for Problems of Flow through Porous Media
다공매체를 통과하는 유동문제의 유한요소해석과 부분해석후 오차계산
- Lee, Choon-Yeol (Dept.of Mechanical Engineering, Yeungnam University)
- 이춘열 (영남대학교 기계공학부)
- Published : 1997.01.01
A new a posteriori error estimator is introduced and applied to variational inequalities occurring in problems of flow through porous media. In order to construct element-wise a posteriori error estimates the global error is localized by a special mixed formulation in which continuity conditions at interfaces are treated as constraints. This approach leads to error indicators which provide rigorous upper bounds of the element errors. A discussion of a compatibility condition for the well-posedness of the local error analysis problem is given. Two numerical examples are solved to check the compatibility of the local problems and convergence of the effectivity index both in a local and a global sense with respect to local refinements.