000013579 001__ 13579
000013579 005__ 20161114165847.0
000013579 04107 $$aeng
000013579 046__ $$k2011-05-25
000013579 100__ $$aLoula A. F., D.
000013579 24500 $$aStabilized Hybrid and Mixed Finite Element Methods for Helmholtz Problems

000013579 24630 $$n3.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000013579 260__ $$bNational Technical University of Athens, 2011
000013579 506__ $$arestricted
000013579 520__ $$2eng$$aStabilized hybrid and mixed finite element methods are proposed for solving Helmholtz problems in heterogeneous media. The methods are based on a hybridized dual mixed formulation in velocity (flux) and pressure fields stabilized by adding least squares residual of the governed equations. The local problems, in the velocity and pressure fields, are solved at element level to eliminate these variables in favor of the Lagrange multipliers, identified as the trace of the pressure on the element edges of the finite element mesh. A global system is assembled involving only the degrees of freedom associated with the Lagrange multipliers as usually in Hybrid methods. Polynomial bases are adopted to approximate the global problem in the Lagrange multipliers. Polynomial or special bases, such as plane-wave bases, can be also used to approximate the local problems at the element level. Numerical results are reported to illustrate the potential of the proposed formulation to efficiently solve Helmholtz problems in homogeneous or heterogeneous media at medium and high frequency regimes.

000013579 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000013579 653__ $$aHybrid methods, Stabilization, Mixed methods, Numerical pollution, Hybridization.

000013579 7112_ $$aCOMPDYN 2011 - 3rd International Thematic Conference$$cIsland of Corfu (GR)$$d2011-05-25 / 2011-05-28$$gCOMPDYN2011
000013579 720__ $$aLoula A. F., D.
000013579 8560_ $$ffischerc@itam.cas.cz
000013579 8564_ $$s291158$$uhttps://invenio.itam.cas.cz/record/13579/files/312.pdf$$yOriginal version of the author's contribution as presented on CD, section: MS 32 Waves and Computation.
000013579 962__ $$r13401
000013579 980__ $$aPAPER