6533b7d3fe1ef96bd126002b

RESEARCH PRODUCT

A damping preconditioner for time-harmonic wave equations in fluid and elastic material

Jari ToivanenTuomas AiraksinenAnssi Pennanen

subject

Algebraic multigrid methodPhysics and Astronomy (miscellaneous)Helmholtz equationGMRESNavier equationMathematics::Numerical AnalysisMultigrid methodHelmholtz equationäärellisten elementtien menetelmäMathematicsElastic scatteringNumerical AnalysisNavierin yhtälöPreconditionerApplied MathematicsMathematical analysispohjustinAcoustic waveWave equationAlgebrallinen multigrid-menetelmäHelmholzin yhtälöGeneralized minimal residual methodComputer Science::Numerical AnalysisFinite element methodComputer Science ApplicationselementtimenetelmäComputational MathematicsClassical mechanicsModeling and SimulationPreconditioner

description

A physical damping is considered as a preconditioning technique for acoustic and elastic wave scattering. The earlier preconditioners for the Helmholtz equation are generalized for elastic materials and three-dimensional domains. An algebraic multigrid method is used in approximating the inverse of damped operators. Several numerical experiments demonstrate the behavior of the method in complicated two-dimensional and three-dimensional domains. peerReviewed

yearjournalcountryeditionlanguage
2009-03-01
http://urn.fi/URN:NBN:fi:jyu-20112211789