6533b853fe1ef96bd12ac122
RESEARCH PRODUCT
Extension of the line element-less method to dynamic problems
Carsten ProppeAntonina Pirrottasubject
Helmholtz equationLaplace transformLine elementMechanical EngineeringHarmonic (mathematics)02 engineering and technologyLaplace equationLine element-less methodCondensed Matter Physics01 natural sciences020303 mechanical engineering & transports0203 mechanical engineeringDynamic problemMechanics of Materials0103 physical sciencesLine (geometry)Biharmonic equationApplied mathematicsHelmholtz equationSettore ICAR/08 - Scienza Delle Costruzioni010301 acousticsEigenvalues and eigenvectorsMathematicsdescription
The line element-less method is an efficient approach for the approximate solution of the Laplace or biharmonic equation on a general bidimensional domain. Introducing generalized harmonic polynomials as approximation functions, we extend the line element-less method to the inhomogeneous Helmholtz equation and to the eigenvalue problem for the Helmholtz equation. The obtained approximate solutions are critically discussed and advantages as well as limitations of the approach are pointed out.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-03-09 |