0000000000542400

AUTHOR

Yuri A. Kuznetsov

showing 1 related works from this author

Fictitious Domain Methods for the Numerical Solution of Two-Dimensional Scattering Problems

1998

Fictitious domain methods for the numerical solution of two-dimensional scattering problems are considered. The original exterior boundary value problem is approximated by truncating the unbounded domain and by imposing a nonreflecting boundary condition on the artificial boundary. First-order, second-order, and exact nonreflecting boundary conditions are tested on rectangular and circular boundaries. The finite element discretizations of the corresponding approximate boundary value problems are performed using locally fitted meshes, and the discrete equations are solved with fictitious domain methods. A special finite element method using nonmatching meshes is considered. This method uses …

Numerical AnalysisPhysics and Astronomy (miscellaneous)Fictitious domain methodPreconditionerApplied MathematicsMathematical analysisBoundary (topology)Domain decomposition methodsDomain (mathematical analysis)Finite element methodComputer Science ApplicationsComputational MathematicsModeling and SimulationBoundary value problemInvariant (mathematics)MathematicsJournal of Computational Physics
researchProduct