Remarks on computable a priori error estimates for finite element solutions of elliptic problems
-
- Takayasu Akitoshi
- Department of Applied Mathematics, Faculty of Science and Engineering, Waseda University
-
- Liu Xuefeng
- Research Institute for Science and Engineering, Waseda University
-
- Oishi Shin'ichi
- Department of Applied Mathematics, Faculty of Science and Engineering, Waseda University CREST/JST
Bibliographic Information
- Other Title
-
- Remarks on computable a priori error estimates for finete solution of elliptic ploblems
Description
For Poisson's equation over a polygonal domain of general shape, the solution of which may have a singularity around re-entrant corners, we provide an explicit a priori error estimate for the approximate solution obtained by finite element methods of high degree. The method used herein is a direct extension of the one developed in preceding paper of the second and third listed authors, which provided a new approach to deal with the singularity by using linear finite elements. In the present paper, we also give a detailed discussion of the dependency of the convergence order on solution singularities, mesh sizes and degrees of the finite element method used.
Journal
-
- Nonlinear Theory and Its Applications, IEICE
-
Nonlinear Theory and Its Applications, IEICE 5 (1), 53-63, 2014
The Institute of Electronics, Information and Communication Engineers
- Tweet
Keywords
Details 詳細情報について
-
- CRID
- 1390282680323166464
-
- NII Article ID
- 130003386653
-
- ISSN
- 21854106
-
- Text Lang
- en
-
- Article Type
- journal article
-
- Data Source
-
- JaLC
- Crossref
- CiNii Articles
- KAKEN
- OpenAIRE
-
- Abstract License Flag
- Disallowed
