6533b7dafe1ef96bd126ea87

RESEARCH PRODUCT

Parallel fictitious domain method for a non‐linear elliptic neumann boundary value problem

Jari ToivanenTuomo RossiTuomo Rossi

subject

Algebra and Number TheoryShooting methodFictitious domain methodApplied MathematicsMathematical analysisNeumann–Dirichlet methodNeumann boundary conditionFree boundary problemBoundary value problemMixed boundary conditionElliptic boundary value problemMathematics

description

Parallelization of the algebraic fictitious domain method is considered for solving Neumann boundary value problems with variable coefficients. The resulting method is applied to the parallel solution of the subsonic full potential flow problem which is linearized by the Newton method. Good scalability of the method is demonstrated on a Cray T3E distributed memory parallel computer using MPI in communication. Copyright © 1999 John Wiley & Sons, Ltd.

https://doi.org/10.1002/(sici)1099-1506(199901/02)6:1<51::aid-nla145>3.0.co;2-#