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Numerical approximation of internal discontinuity interface problems
Discacciati, Marco; Quarteroni, Alfio; Quinodoz, Samuel
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Centre Específic de Recerca de Mètodes Numèrics en Ciències Aplicades i Enginyeria
This work focuses on the finite element discretization of boundary value problems whose solution features either a discontinuity or a discontinuous conormal derivative across an in- terface inside the computational domain. The interface is characterized via a level set function. The discontinuities are accounted for by using suitable extension operators whose numerical implementa- tion requires a very low computational effort. After carrying out the error analysis, numerical results to validate our approach are presented in one, two, and three dimensions.
Peer Reviewed
Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
Difference equations, Partial--Numerical solutions
Finite elements
Interface problem
Level set
Anàlisi numèrica
65N Equacions en derivades parcials, problemes amb valors a la frontera
Attribution-NonCommercial-NoDerivs 3.0 Spain

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