[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12941/jksiam.2019.23.115

ALGORITHMS TO APPLY FINITE ELEMENT DUAL SINGULAR FUNCTION METHOD FOR THE STOKES EQUATIONS INCLUDING CORNER SINGULARITIES

JANG, DEOK-KYU (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)
PYO, JAE-HONG (DEPARTMENT OF MATHEMATICS, KANGWON NATIONAL UNIVERSITY)

Publication Information

Journal of the Korean Society for Industrial and Applied Mathematics / v.23, no.2, 2019 , pp. 115-138 More about this Journal

Abstract

The dual singular function method [DSFM] is a solver for corner sigulaity problem. We already construct DSFM in previous reserch to solve the Stokes equations including one singulairity at each reentrant corner, but we find out a crucial incorrection in the proof of well-posedness and regularity of dual singular function. The goal of this paper is to prove accuracy and well-posdness of DSFM for Stokes equations including two singulairities at each corner. We also introduce new applicable algorithms to slove multi-singulrarity problems in a complicated domain.

Keywords

Stokes equations; Dual singular function method; Corner singularity; incompressible fluids;

Citations & Related Records

Reference

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