Numerical Approximation Of Internal Discontinuity Interface Problems

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 interface 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 implementation 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.


Published in:
Siam Journal On Scientific Computing, 35, 5, A2341-A2369
Year:
2013
Publisher:
Philadelphia, Siam Publications
ISSN:
1064-8275
Keywords:
Laboratories:




 Record created 2013-12-09, last modified 2018-09-13


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